[{"status":"public","month":"10","date_created":"2021-07-30T08:24:11Z","publisher":"Dryad","date_published":"2014-10-08T00:00:00Z","abstract":[{"lang":"eng","text":"Background: The brood of ants and other social insects is highly susceptible to pathogens, particularly those that penetrate the soft larval and pupal cuticle. We here test whether the presence of a pupal cocoon, which occurs in some ant species but not in others, affects the sanitary brood care and fungal infection patterns after exposure to the entomopathogenic fungus Metarhizium brunneum. We use a) a comparative approach analysing four species with either naked or cocooned pupae and b) a within-species analysis of a single ant species, in which both pupal types co-exist in the same colony. Results: We found that the presence of a cocoon did not compromise fungal pathogen detection by the ants and that species with cocooned pupae increased brood grooming after pathogen exposure. All tested ant species further removed brood from their nests, which was predominantly expressed towards larvae and naked pupae treated with the live fungal pathogen. In contrast, cocooned pupae exposed to live fungus were not removed at higher rates than cocooned pupae exposed to dead fungus or a sham control. Consistent with this, exposure to the live fungus caused high numbers of infections and fungal outgrowth in larvae and naked pupae, but not in cocooned pupae. Moreover, the ants consistently removed the brood prior to fungal outgrowth, ensuring a clean brood chamber. Conclusion: Our study suggests that the pupal cocoon has a protective effect against fungal infection, causing an adaptive change in sanitary behaviours by the ants. It further demonstrates that brood removal - originally described for honeybees as “hygienic behaviour” – is a widespread sanitary behaviour in ants, which likely has important implications on disease dynamics in social insect colonies."}],"department":[{"_id":"SyCr"}],"_id":"9753","oa":1,"related_material":{"record":[{"id":"2284","relation":"used_in_publication","status":"public"}]},"doi":"10.5061/dryad.nc0gc","title":"Data from: Pupal cocoons affect sanitary brood care and limit fungal infections in ant colonies","year":"2014","day":"08","oa_version":"Published Version","date_updated":"2023-02-23T10:36:17Z","type":"research_data_reference","author":[{"first_name":"Simon","last_name":"Tragust","full_name":"Tragust, Simon","id":"35A7A418-F248-11E8-B48F-1D18A9856A87"},{"id":"3DC97C8E-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0003-1832-8883","full_name":"Ugelvig, Line V","last_name":"Ugelvig","first_name":"Line V"},{"full_name":"Chapuisat, Michel","last_name":"Chapuisat","first_name":"Michel"},{"first_name":"Jürgen","last_name":"Heinze","full_name":"Heinze, Jürgen"},{"last_name":"Cremer","first_name":"Sylvia","orcid":"0000-0002-2193-3868","full_name":"Cremer, Sylvia","id":"2F64EC8C-F248-11E8-B48F-1D18A9856A87"}],"user_id":"6785fbc1-c503-11eb-8a32-93094b40e1cf","article_processing_charge":"No","main_file_link":[{"open_access":"1","url":"https://doi.org/10.5061/dryad.nc0gc"}],"citation":{"ista":"Tragust S, Ugelvig LV, Chapuisat M, Heinze J, Cremer S. 2014. Data from: Pupal cocoons affect sanitary brood care and limit fungal infections in ant colonies, Dryad, <a href=\"https://doi.org/10.5061/dryad.nc0gc\">10.5061/dryad.nc0gc</a>.","short":"S. Tragust, L.V. Ugelvig, M. Chapuisat, J. Heinze, S. Cremer, (2014).","chicago":"Tragust, Simon, Line V Ugelvig, Michel Chapuisat, Jürgen Heinze, and Sylvia Cremer. “Data from: Pupal Cocoons Affect Sanitary Brood Care and Limit Fungal Infections in Ant Colonies.” Dryad, 2014. <a href=\"https://doi.org/10.5061/dryad.nc0gc\">https://doi.org/10.5061/dryad.nc0gc</a>.","ieee":"S. Tragust, L. V. Ugelvig, M. Chapuisat, J. Heinze, and S. Cremer, “Data from: Pupal cocoons affect sanitary brood care and limit fungal infections in ant colonies.” Dryad, 2014.","ama":"Tragust S, Ugelvig LV, Chapuisat M, Heinze J, Cremer S. Data from: Pupal cocoons affect sanitary brood care and limit fungal infections in ant colonies. 2014. doi:<a href=\"https://doi.org/10.5061/dryad.nc0gc\">10.5061/dryad.nc0gc</a>","mla":"Tragust, Simon, et al. <i>Data from: Pupal Cocoons Affect Sanitary Brood Care and Limit Fungal Infections in Ant Colonies</i>. Dryad, 2014, doi:<a href=\"https://doi.org/10.5061/dryad.nc0gc\">10.5061/dryad.nc0gc</a>.","apa":"Tragust, S., Ugelvig, L. V., Chapuisat, M., Heinze, J., &#38; Cremer, S. (2014). Data from: Pupal cocoons affect sanitary brood care and limit fungal infections in ant colonies. Dryad. <a href=\"https://doi.org/10.5061/dryad.nc0gc\">https://doi.org/10.5061/dryad.nc0gc</a>"}},{"year":"2014","day":"06","oa_version":"Published Version","date_updated":"2023-02-23T10:27:38Z","type":"research_data_reference","user_id":"6785fbc1-c503-11eb-8a32-93094b40e1cf","author":[{"full_name":"Wolf, Stephan","last_name":"Wolf","first_name":"Stephan"},{"first_name":"Dino","last_name":"Mcmahon","full_name":"Mcmahon, Dino"},{"first_name":"Ka","last_name":"Lim","full_name":"Lim, Ka"},{"id":"3C7F4840-F248-11E8-B48F-1D18A9856A87","full_name":"Pull, Christopher","orcid":"0000-0003-1122-3982","first_name":"Christopher","last_name":"Pull"},{"last_name":"Clark","first_name":"Suzanne","full_name":"Clark, Suzanne"},{"full_name":"Paxton, Robert","last_name":"Paxton","first_name":"Robert"},{"last_name":"Osborne","first_name":"Juliet","full_name":"Osborne, Juliet"}],"article_processing_charge":"No","citation":{"ama":"Wolf S, Mcmahon D, Lim K, et al. Supporting information. 2014. doi:<a href=\"https://doi.org/10.1371/journal.pone.0103989.s003\">10.1371/journal.pone.0103989.s003</a>","ieee":"S. Wolf <i>et al.</i>, “Supporting information.” Public Library of Science, 2014.","ista":"Wolf S, Mcmahon D, Lim K, Pull C, Clark S, Paxton R, Osborne J. 2014. Supporting information, Public Library of Science, <a href=\"https://doi.org/10.1371/journal.pone.0103989.s003\">10.1371/journal.pone.0103989.s003</a>.","short":"S. Wolf, D. Mcmahon, K. Lim, C. Pull, S. Clark, R. Paxton, J. Osborne, (2014).","chicago":"Wolf, Stephan, Dino Mcmahon, Ka Lim, Christopher Pull, Suzanne Clark, Robert Paxton, and Juliet Osborne. “Supporting Information.” Public Library of Science, 2014. <a href=\"https://doi.org/10.1371/journal.pone.0103989.s003\">https://doi.org/10.1371/journal.pone.0103989.s003</a>.","mla":"Wolf, Stephan, et al. <i>Supporting Information</i>. Public Library of Science, 2014, doi:<a href=\"https://doi.org/10.1371/journal.pone.0103989.s003\">10.1371/journal.pone.0103989.s003</a>.","apa":"Wolf, S., Mcmahon, D., Lim, K., Pull, C., Clark, S., Paxton, R., &#38; Osborne, J. (2014). Supporting information. Public Library of Science. <a href=\"https://doi.org/10.1371/journal.pone.0103989.s003\">https://doi.org/10.1371/journal.pone.0103989.s003</a>"},"abstract":[{"lang":"eng","text":"Detailed description of the experimental prodedures, data analyses and additional statistical analyses of the results."}],"_id":"9888","department":[{"_id":"SyCr"}],"related_material":{"record":[{"id":"2086","relation":"used_in_publication","status":"public"}]},"doi":"10.1371/journal.pone.0103989.s003","title":"Supporting information","publisher":"Public Library of Science","status":"public","month":"08","date_created":"2021-08-11T14:17:53Z"},{"issue":"6","volume":68,"article_type":"original","publisher":"Wiley","intvolume":"        68","status":"public","date_created":"2021-08-17T09:03:09Z","month":"06","author":[{"full_name":"Dhar, Riddhiman","first_name":"Riddhiman","last_name":"Dhar"},{"first_name":"Tobias","last_name":"Bergmiller","full_name":"Bergmiller, Tobias","orcid":"0000-0001-5396-4346","id":"2C471CFA-F248-11E8-B48F-1D18A9856A87"},{"last_name":"Wagner","first_name":"Andreas","full_name":"Wagner, Andreas"}],"quality_controlled":"1","citation":{"apa":"Dhar, R., Bergmiller, T., &#38; Wagner, A. (2014). Increased gene dosage plays a predominant role in the initial stages of evolution of duplicate TEM-1 beta lactamase genes. <i>Evolution</i>. Wiley. <a href=\"https://doi.org/10.1111/evo.12373\">https://doi.org/10.1111/evo.12373</a>","mla":"Dhar, Riddhiman, et al. “Increased Gene Dosage Plays a Predominant Role in the Initial Stages of Evolution of Duplicate TEM-1 Beta Lactamase Genes.” <i>Evolution</i>, vol. 68, no. 6, Wiley, 2014, pp. 1775–91, doi:<a href=\"https://doi.org/10.1111/evo.12373\">10.1111/evo.12373</a>.","ieee":"R. Dhar, T. Bergmiller, and A. Wagner, “Increased gene dosage plays a predominant role in the initial stages of evolution of duplicate TEM-1 beta lactamase genes,” <i>Evolution</i>, vol. 68, no. 6. Wiley, pp. 1775–1791, 2014.","ama":"Dhar R, Bergmiller T, Wagner A. Increased gene dosage plays a predominant role in the initial stages of evolution of duplicate TEM-1 beta lactamase genes. <i>Evolution</i>. 2014;68(6):1775-1791. doi:<a href=\"https://doi.org/10.1111/evo.12373\">10.1111/evo.12373</a>","chicago":"Dhar, Riddhiman, Tobias Bergmiller, and Andreas Wagner. “Increased Gene Dosage Plays a Predominant Role in the Initial Stages of Evolution of Duplicate TEM-1 Beta Lactamase Genes.” <i>Evolution</i>. Wiley, 2014. <a href=\"https://doi.org/10.1111/evo.12373\">https://doi.org/10.1111/evo.12373</a>.","short":"R. Dhar, T. Bergmiller, A. Wagner, Evolution 68 (2014) 1775–1791.","ista":"Dhar R, Bergmiller T, Wagner A. 2014. Increased gene dosage plays a predominant role in the initial stages of evolution of duplicate TEM-1 beta lactamase genes. Evolution. 68(6), 1775–1791."},"year":"2014","related_material":{"record":[{"relation":"research_data","status":"public","id":"9932"}]},"_id":"9931","title":"Increased gene dosage plays a predominant role in the initial stages of evolution of duplicate TEM-1 beta lactamase genes","publication":"Evolution","pmid":1,"publication_status":"published","abstract":[{"text":"Gene duplication is important in evolution, because it provides new raw material for evolutionary adaptations. Several existing hypotheses about the causes of duplicate retention and diversification differ in their emphasis on gene dosage, subfunctionalization, and neofunctionalization. Little experimental data exist on the relative importance of gene expression changes and changes in coding regions for the evolution of duplicate genes. Furthermore, we do not know how strongly the environment could affect this importance. To address these questions, we performed evolution experiments with the TEM-1 beta lactamase gene in Escherichia coli to study the initial stages of duplicate gene evolution in the laboratory. We mimicked tandem duplication by inserting two copies of the TEM-1 gene on the same plasmid. We then subjected these copies to repeated cycles of mutagenesis and selection in various environments that contained antibiotics in different combinations and concentrations. Our experiments showed that gene dosage is the most important factor in the initial stages of duplicate gene evolution, and overshadows the importance of point mutations in the coding region.","lang":"eng"}],"page":"1775-1791","date_published":"2014-06-03T00:00:00Z","external_id":{"pmid":["24495000"]},"publication_identifier":{"issn":["0014-3820"],"eissn":["1558-5646"]},"scopus_import":"1","user_id":"6785fbc1-c503-11eb-8a32-93094b40e1cf","article_processing_charge":"No","day":"03","type":"journal_article","date_updated":"2023-02-23T14:13:27Z","oa_version":"None","language":[{"iso":"eng"}],"doi":"10.1111/evo.12373","department":[{"_id":"CaGu"}],"acknowledgement":"We thank the Functional Genomics Center Zurich for its service in generating sequencing data, M. Ackermann and E. Hayden for helpful discussions, A. de Visser for comments on earlier versions of this manuscript, and M. Moser for help with quantitative PCR. This work was supported by Swiss National Science Foundation (grant 315230–129708), as well as through the YeastX project of SystemsX.ch, and the University Priority Research Program in Systems Biology at the University of Zurich. RD acknowledges support from the Forschungskredit program of the University of Zurich. The authors declare no conflict of interest."},{"abstract":[{"text":"Gene duplication is important in evolution, because it provides new raw material for evolutionary adaptations. Several existing hypotheses about the causes of duplicate retention and diversification differ in their emphasis on gene dosage, sub-functionalization, and neo-functionalization. Little experimental data exists on the relative importance of gene expression changes and changes in coding regions for the evolution of duplicate genes. Furthermore, we do not know how strongly the environment could affect this importance. To address these questions, we performed evolution experiments with the TEM-1 beta lactamase gene in E. coli to study the initial stages of duplicate gene evolution in the laboratory. We mimicked tandem duplication by inserting two copies of the TEM-1 gene on the same plasmid. We then subjected these copies to repeated cycles of mutagenesis and selection in various environments that contained antibiotics in different combinations and concentrations. Our experiments showed that gene dosage is the most important factor in the initial stages of duplicate gene evolution, and overshadows the importance of point mutations in the coding region.","lang":"eng"}],"department":[{"_id":"CaGu"}],"_id":"9932","doi":"10.5061/dryad.jc402","related_material":{"record":[{"status":"public","relation":"used_in_publication","id":"9931"}]},"oa":1,"title":"Data from: Increased gene dosage plays a predominant role in the initial stages of evolution of duplicate TEM-1 beta lactamase genes","year":"2014","day":"27","oa_version":"Published Version","type":"research_data_reference","date_updated":"2023-02-23T14:13:24Z","author":[{"full_name":"Dhar, Riddhiman","last_name":"Dhar","first_name":"Riddhiman"},{"id":"2C471CFA-F248-11E8-B48F-1D18A9856A87","full_name":"Bergmiller, Tobias","orcid":"0000-0001-5396-4346","first_name":"Tobias","last_name":"Bergmiller"},{"full_name":"Wagner, Andreas","last_name":"Wagner","first_name":"Andreas"}],"user_id":"6785fbc1-c503-11eb-8a32-93094b40e1cf","article_processing_charge":"No","main_file_link":[{"url":"https://doi.org/10.5061/dryad.jc402","open_access":"1"}],"citation":{"apa":"Dhar, R., Bergmiller, T., &#38; Wagner, A. (2014). Data from: Increased gene dosage plays a predominant role in the initial stages of evolution of duplicate TEM-1 beta lactamase genes. Dryad. <a href=\"https://doi.org/10.5061/dryad.jc402\">https://doi.org/10.5061/dryad.jc402</a>","mla":"Dhar, Riddhiman, et al. <i>Data from: Increased Gene Dosage Plays a Predominant Role in the Initial Stages of Evolution of Duplicate TEM-1 Beta Lactamase Genes</i>. Dryad, 2014, doi:<a href=\"https://doi.org/10.5061/dryad.jc402\">10.5061/dryad.jc402</a>.","ama":"Dhar R, Bergmiller T, Wagner A. Data from: Increased gene dosage plays a predominant role in the initial stages of evolution of duplicate TEM-1 beta lactamase genes. 2014. doi:<a href=\"https://doi.org/10.5061/dryad.jc402\">10.5061/dryad.jc402</a>","ieee":"R. Dhar, T. Bergmiller, and A. Wagner, “Data from: Increased gene dosage plays a predominant role in the initial stages of evolution of duplicate TEM-1 beta lactamase genes.” Dryad, 2014.","short":"R. Dhar, T. Bergmiller, A. Wagner, (2014).","chicago":"Dhar, Riddhiman, Tobias Bergmiller, and Andreas Wagner. “Data from: Increased Gene Dosage Plays a Predominant Role in the Initial Stages of Evolution of Duplicate TEM-1 Beta Lactamase Genes.” Dryad, 2014. <a href=\"https://doi.org/10.5061/dryad.jc402\">https://doi.org/10.5061/dryad.jc402</a>.","ista":"Dhar R, Bergmiller T, Wagner A. 2014. Data from: Increased gene dosage plays a predominant role in the initial stages of evolution of duplicate TEM-1 beta lactamase genes, Dryad, <a href=\"https://doi.org/10.5061/dryad.jc402\">10.5061/dryad.jc402</a>."},"status":"public","month":"01","date_created":"2021-08-17T09:11:40Z","publisher":"Dryad","date_published":"2014-01-27T00:00:00Z"},{"article_processing_charge":"No","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","oa_version":"None","series_title":"Mathematics and Visualization","date_updated":"2023-09-05T15:33:45Z","type":"book_chapter","day":"19","ec_funded":1,"department":[{"_id":"HeEd"}],"language":[{"iso":"eng"}],"doi":"10.1007/978-3-319-04099-8_9","acknowledgement":"This research is supported and funded by the Digiteo unTopoVis project, the TOPOSYS project FP7-ICT-318493-STREP, and MPC-VCC.","date_published":"2014-03-19T00:00:00Z","page":"135-150","scopus_import":"1","publication_identifier":{"eisbn":["9783319040998"],"issn":["1612-3786"],"eissn":["2197-666X"],"isbn":["9783319040981"]},"citation":{"mla":"Günther, David, et al. “Notes on the Simplification of the Morse-Smale Complex.” <i>Topological Methods in Data Analysis and Visualization III.</i>, edited by Peer-Timo Bremer et al., Springer Nature, 2014, pp. 135–50, doi:<a href=\"https://doi.org/10.1007/978-3-319-04099-8_9\">10.1007/978-3-319-04099-8_9</a>.","apa":"Günther, D., Reininghaus, J., Seidel, H.-P., &#38; Weinkauf, T. (2014). Notes on the simplification of the Morse-Smale complex. In P.-T. Bremer, I. Hotz, V. Pascucci, &#38; R. Peikert (Eds.), <i>Topological Methods in Data Analysis and Visualization III.</i> (pp. 135–150). Cham: Springer Nature. <a href=\"https://doi.org/10.1007/978-3-319-04099-8_9\">https://doi.org/10.1007/978-3-319-04099-8_9</a>","ieee":"D. Günther, J. Reininghaus, H.-P. Seidel, and T. Weinkauf, “Notes on the simplification of the Morse-Smale complex,” in <i>Topological Methods in Data Analysis and Visualization III.</i>, P.-T. Bremer, I. Hotz, V. Pascucci, and R. Peikert, Eds. Cham: Springer Nature, 2014, pp. 135–150.","ama":"Günther D, Reininghaus J, Seidel H-P, Weinkauf T. Notes on the simplification of the Morse-Smale complex. In: Bremer P-T, Hotz I, Pascucci V, Peikert R, eds. <i>Topological Methods in Data Analysis and Visualization III.</i> Mathematics and Visualization. Cham: Springer Nature; 2014:135-150. doi:<a href=\"https://doi.org/10.1007/978-3-319-04099-8_9\">10.1007/978-3-319-04099-8_9</a>","ista":"Günther D, Reininghaus J, Seidel H-P, Weinkauf T. 2014.Notes on the simplification of the Morse-Smale complex. In: Topological Methods in Data Analysis and Visualization III. , 135–150.","short":"D. Günther, J. Reininghaus, H.-P. Seidel, T. Weinkauf, in:, P.-T. Bremer, I. Hotz, V. Pascucci, R. Peikert (Eds.), Topological Methods in Data Analysis and Visualization III., Springer Nature, Cham, 2014, pp. 135–150.","chicago":"Günther, David, Jan Reininghaus, Hans-Peter Seidel, and Tino Weinkauf. “Notes on the Simplification of the Morse-Smale Complex.” In <i>Topological Methods in Data Analysis and Visualization III.</i>, edited by Peer-Timo Bremer, Ingrid Hotz, Valerio Pascucci, and Ronald Peikert, 135–50. Mathematics and Visualization. Cham: Springer Nature, 2014. <a href=\"https://doi.org/10.1007/978-3-319-04099-8_9\">https://doi.org/10.1007/978-3-319-04099-8_9</a>."},"author":[{"full_name":"Günther, David","first_name":"David","last_name":"Günther"},{"first_name":"Jan","last_name":"Reininghaus","id":"4505473A-F248-11E8-B48F-1D18A9856A87","full_name":"Reininghaus, Jan"},{"last_name":"Seidel","first_name":"Hans-Peter","full_name":"Seidel, Hans-Peter"},{"full_name":"Weinkauf, Tino","first_name":"Tino","last_name":"Weinkauf"}],"quality_controlled":"1","year":"2014","title":"Notes on the simplification of the Morse-Smale complex","publication":"Topological Methods in Data Analysis and Visualization III.","_id":"10817","project":[{"name":"Topological Complex Systems","grant_number":"318493","_id":"255D761E-B435-11E9-9278-68D0E5697425","call_identifier":"FP7"}],"abstract":[{"lang":"eng","text":"The Morse-Smale complex can be either explicitly or implicitly represented. Depending on the type of representation, the simplification of the Morse-Smale complex works differently. In the explicit representation, the Morse-Smale complex is directly simplified by explicitly reconnecting the critical points during the simplification. In the implicit representation, on the other hand, the Morse-Smale complex is given by a combinatorial gradient field. In this setting, the simplification changes the combinatorial flow, which yields an indirect simplification of the Morse-Smale complex. The topological complexity of the Morse-Smale complex is reduced in both representations. However, the simplifications generally yield different results. In this chapter, we emphasize properties of the two representations that cause these differences. We also provide a complexity analysis of the two schemes with respect to running time and memory consumption."}],"publication_status":"published","editor":[{"full_name":"Bremer, Peer-Timo","first_name":"Peer-Timo","last_name":"Bremer"},{"first_name":"Ingrid","last_name":"Hotz","full_name":"Hotz, Ingrid"},{"full_name":"Pascucci, Valerio","first_name":"Valerio","last_name":"Pascucci"},{"first_name":"Ronald","last_name":"Peikert","full_name":"Peikert, Ronald"}],"publisher":"Springer Nature","place":"Cham","month":"03","date_created":"2022-03-04T08:33:57Z","status":"public"},{"title":"Parameterized model checking of token-passing systems","publication":"Verification, Model Checking, and Abstract Interpretation","_id":"10884","oa":1,"project":[{"_id":"2584A770-B435-11E9-9278-68D0E5697425","call_identifier":"FWF","grant_number":"P 23499-N23","name":"Modern Graph Algorithmic Techniques in Formal Verification"},{"call_identifier":"FWF","_id":"25863FF4-B435-11E9-9278-68D0E5697425","grant_number":"S11407","name":"Game Theory"},{"_id":"2581B60A-B435-11E9-9278-68D0E5697425","call_identifier":"FP7","grant_number":"279307","name":"Quantitative Graph Games: Theory and Applications"}],"abstract":[{"text":"We revisit the parameterized model checking problem for token-passing systems and specifications in indexed CTL  ∗ \\X. Emerson and Namjoshi (1995, 2003) have shown that parameterized model checking of indexed CTL  ∗ \\X in uni-directional token rings can be reduced to checking rings up to some cutoff size. Clarke et al. (2004) have shown a similar result for general topologies and indexed LTL \\X, provided processes cannot choose the directions for sending or receiving the token.\r\nWe unify and substantially extend these results by systematically exploring fragments of indexed CTL  ∗ \\X with respect to general topologies. For each fragment we establish whether a cutoff exists, and for some concrete topologies, such as rings, cliques and stars, we infer small cutoffs. Finally, we show that the problem becomes undecidable, and thus no cutoffs exist, if processes are allowed to choose the directions in which they send or from which they receive the token.","lang":"eng"}],"publication_status":"published","main_file_link":[{"url":" https://doi.org/10.48550/arXiv.1311.4425","open_access":"1"}],"citation":{"chicago":"Aminof, Benjamin, Swen Jacobs, Ayrat Khalimov, and Sasha Rubin. “Parameterized Model Checking of Token-Passing Systems.” In <i>Verification, Model Checking, and Abstract Interpretation</i>, 8318:262–81. Springer Nature, 2014. <a href=\"https://doi.org/10.1007/978-3-642-54013-4_15\">https://doi.org/10.1007/978-3-642-54013-4_15</a>.","short":"B. Aminof, S. Jacobs, A. Khalimov, S. Rubin, in:, Verification, Model Checking, and Abstract Interpretation, Springer Nature, 2014, pp. 262–281.","ista":"Aminof B, Jacobs S, Khalimov A, Rubin S. 2014. Parameterized model checking of token-passing systems. Verification, Model Checking, and Abstract Interpretation. VMCAI: Verifcation, Model Checking, and Abstract Interpretation, LNCS, vol. 8318, 262–281.","ama":"Aminof B, Jacobs S, Khalimov A, Rubin S. Parameterized model checking of token-passing systems. In: <i>Verification, Model Checking, and Abstract Interpretation</i>. Vol 8318. Springer Nature; 2014:262-281. doi:<a href=\"https://doi.org/10.1007/978-3-642-54013-4_15\">10.1007/978-3-642-54013-4_15</a>","ieee":"B. Aminof, S. Jacobs, A. Khalimov, and S. Rubin, “Parameterized model checking of token-passing systems,” in <i>Verification, Model Checking, and Abstract Interpretation</i>, San Diego, CA, United States, 2014, vol. 8318, pp. 262–281.","mla":"Aminof, Benjamin, et al. “Parameterized Model Checking of Token-Passing Systems.” <i>Verification, Model Checking, and Abstract Interpretation</i>, vol. 8318, Springer Nature, 2014, pp. 262–81, doi:<a href=\"https://doi.org/10.1007/978-3-642-54013-4_15\">10.1007/978-3-642-54013-4_15</a>.","apa":"Aminof, B., Jacobs, S., Khalimov, A., &#38; Rubin, S. (2014). Parameterized model checking of token-passing systems. In <i>Verification, Model Checking, and Abstract Interpretation</i> (Vol. 8318, pp. 262–281). San Diego, CA, United States: Springer Nature. <a href=\"https://doi.org/10.1007/978-3-642-54013-4_15\">https://doi.org/10.1007/978-3-642-54013-4_15</a>"},"quality_controlled":"1","author":[{"full_name":"Aminof, Benjamin","id":"4A55BD00-F248-11E8-B48F-1D18A9856A87","first_name":"Benjamin","last_name":"Aminof"},{"full_name":"Jacobs, Swen","last_name":"Jacobs","first_name":"Swen"},{"full_name":"Khalimov, Ayrat","first_name":"Ayrat","last_name":"Khalimov"},{"first_name":"Sasha","last_name":"Rubin","id":"2EC51194-F248-11E8-B48F-1D18A9856A87","full_name":"Rubin, Sasha"}],"year":"2014","intvolume":"      8318","month":"01","conference":{"end_date":"2014-01-21","name":"VMCAI: Verifcation, Model Checking, and Abstract Interpretation","location":"San Diego, CA, United States","start_date":"2014-01-19"},"date_created":"2022-03-18T13:01:22Z","status":"public","volume":8318,"publisher":"Springer Nature","ec_funded":1,"department":[{"_id":"KrCh"}],"doi":"10.1007/978-3-642-54013-4_15","language":[{"iso":"eng"}],"acknowledgement":"This work was supported by the Austrian Science Fund through grant P23499-N23\r\nand through the RiSE network (S11403, S11405, S11406, S11407-N23); ERC Starting Grant (279307: Graph Games); Vienna Science and Technology Fund (WWTF)\r\ngrants PROSEED, ICT12-059, and VRG11-005.","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","article_processing_charge":"No","oa_version":"Preprint","type":"conference","date_updated":"2022-05-17T08:36:01Z","day":"30","alternative_title":["LNCS"],"scopus_import":"1","publication_identifier":{"isbn":["9783642540127"],"eissn":["1611-3349"],"issn":["0302-9743"],"eisbn":["9783642540134"]},"arxiv":1,"external_id":{"arxiv":["1311.4425"]},"date_published":"2014-01-30T00:00:00Z","page":"262-281"},{"oa_version":"Preprint","date_updated":"2023-02-23T12:52:24Z","type":"conference","day":"30","article_processing_charge":"No","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","acknowledgement":" Supported by Austrian Science Fund (FWF) Grant No P23499-N23, FWF NFN Grant No\r\nS11407-N23 (RiSE), ERC Start grant (279307: Graph Games), and Microsoft faculty fellows award.","ec_funded":1,"department":[{"_id":"KrCh"}],"doi":"10.1007/978-3-642-54013-4_5","language":[{"iso":"eng"}],"external_id":{"arxiv":["1311.3238"]},"date_published":"2014-01-30T00:00:00Z","page":"78-97","arxiv":1,"alternative_title":["LNCS"],"scopus_import":"1","publication_identifier":{"eissn":["1611-3349"],"isbn":["9783642540127"],"eisbn":["9783642540134"],"issn":["0302-9743"]},"year":"2014","citation":{"mla":"Chatterjee, Krishnendu, et al. “Doomsday Equilibria for Omega-Regular Games.” <i>VMCAI 2014: Verification, Model Checking, and Abstract Interpretation</i>, vol. 8318, Springer Nature, 2014, pp. 78–97, doi:<a href=\"https://doi.org/10.1007/978-3-642-54013-4_5\">10.1007/978-3-642-54013-4_5</a>.","apa":"Chatterjee, K., Doyen, L., Filiot, E., &#38; Raskin, J.-F. (2014). Doomsday equilibria for omega-regular games. In <i>VMCAI 2014: Verification, Model Checking, and Abstract Interpretation</i> (Vol. 8318, pp. 78–97). San Diego, CA, United States: Springer Nature. <a href=\"https://doi.org/10.1007/978-3-642-54013-4_5\">https://doi.org/10.1007/978-3-642-54013-4_5</a>","chicago":"Chatterjee, Krishnendu, Laurent Doyen, Emmanuel Filiot, and Jean-François Raskin. “Doomsday Equilibria for Omega-Regular Games.” In <i>VMCAI 2014: Verification, Model Checking, and Abstract Interpretation</i>, 8318:78–97. Springer Nature, 2014. <a href=\"https://doi.org/10.1007/978-3-642-54013-4_5\">https://doi.org/10.1007/978-3-642-54013-4_5</a>.","short":"K. Chatterjee, L. Doyen, E. Filiot, J.-F. Raskin, in:, VMCAI 2014: Verification, Model Checking, and Abstract Interpretation, Springer Nature, 2014, pp. 78–97.","ista":"Chatterjee K, Doyen L, Filiot E, Raskin J-F. 2014. Doomsday equilibria for omega-regular games. VMCAI 2014: Verification, Model Checking, and Abstract Interpretation. VMCAI: Verifcation, Model Checking, and Abstract Interpretation, LNCS, vol. 8318, 78–97.","ama":"Chatterjee K, Doyen L, Filiot E, Raskin J-F. Doomsday equilibria for omega-regular games. In: <i>VMCAI 2014: Verification, Model Checking, and Abstract Interpretation</i>. Vol 8318. Springer Nature; 2014:78-97. doi:<a href=\"https://doi.org/10.1007/978-3-642-54013-4_5\">10.1007/978-3-642-54013-4_5</a>","ieee":"K. Chatterjee, L. Doyen, E. Filiot, and J.-F. Raskin, “Doomsday equilibria for omega-regular games,” in <i>VMCAI 2014: Verification, Model Checking, and Abstract Interpretation</i>, San Diego, CA, United States, 2014, vol. 8318, pp. 78–97."},"author":[{"id":"2E5DCA20-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-4561-241X","full_name":"Chatterjee, Krishnendu","first_name":"Krishnendu","last_name":"Chatterjee"},{"full_name":"Doyen, Laurent","first_name":"Laurent","last_name":"Doyen"},{"last_name":"Filiot","first_name":"Emmanuel","full_name":"Filiot, Emmanuel"},{"full_name":"Raskin, Jean-François","last_name":"Raskin","first_name":"Jean-François"}],"quality_controlled":"1","project":[{"_id":"2584A770-B435-11E9-9278-68D0E5697425","call_identifier":"FWF","name":"Modern Graph Algorithmic Techniques in Formal Verification","grant_number":"P 23499-N23"},{"name":"Game Theory","grant_number":"S11407","_id":"25863FF4-B435-11E9-9278-68D0E5697425","call_identifier":"FWF"},{"_id":"2581B60A-B435-11E9-9278-68D0E5697425","call_identifier":"FP7","grant_number":"279307","name":"Quantitative Graph Games: Theory and Applications"},{"name":"Microsoft Research Faculty Fellowship","_id":"2587B514-B435-11E9-9278-68D0E5697425"}],"abstract":[{"text":"Two-player games on graphs provide the theoretical framework for many important problems such as reactive synthesis. While the traditional study of two-player zero-sum games has been extended to multi-player games with several notions of equilibria, they are decidable only for perfect-information games, whereas several applications require imperfect-information games.\r\nIn this paper we propose a new notion of equilibria, called doomsday equilibria, which is a strategy profile such that all players satisfy their own objective, and if any coalition of players deviates and violates even one of the players objective, then the objective of every player is violated.\r\nWe present algorithms and complexity results for deciding the existence of doomsday equilibria for various classes of ω-regular objectives, both for imperfect-information games, and for perfect-information games.We provide optimal complexity bounds for imperfect-information games, and in most cases for perfect-information games.","lang":"eng"}],"publication_status":"published","publication":"VMCAI 2014: Verification, Model Checking, and Abstract Interpretation","title":"Doomsday equilibria for omega-regular games","_id":"10885","related_material":{"record":[{"id":"681","relation":"later_version","status":"public"}]},"publisher":"Springer Nature","volume":8318,"conference":{"location":"San Diego, CA, United States","start_date":"2014-01-19","end_date":"2014-01-21","name":"VMCAI: Verifcation, Model Checking, and Abstract Interpretation"},"month":"01","date_created":"2022-03-18T13:03:15Z","status":"public","intvolume":"      8318"},{"page":"249-262","date_published":"2014-03-19T00:00:00Z","publisher":"Springer","publication_identifier":{"eissn":["2197-666X"],"isbn":["9783319040981"],"eisbn":["9783319040998"],"issn":["1612-3786"]},"scopus_import":"1","alternative_title":["Mathematics and Visualization"],"status":"public","date_created":"2022-03-18T13:05:39Z","month":"03","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","quality_controlled":"1","author":[{"last_name":"Zobel","first_name":"Valentin","full_name":"Zobel, Valentin"},{"id":"4505473A-F248-11E8-B48F-1D18A9856A87","full_name":"Reininghaus, Jan","first_name":"Jan","last_name":"Reininghaus"},{"last_name":"Hotz","first_name":"Ingrid","full_name":"Hotz, Ingrid"}],"article_processing_charge":"No","citation":{"apa":"Zobel, V., Reininghaus, J., &#38; Hotz, I. (2014). Visualization of two-dimensional symmetric positive definite tensor fields using the heat kernel signature. In <i>Topological Methods in Data Analysis and Visualization III </i> (pp. 249–262). Springer. <a href=\"https://doi.org/10.1007/978-3-319-04099-8_16\">https://doi.org/10.1007/978-3-319-04099-8_16</a>","mla":"Zobel, Valentin, et al. “Visualization of Two-Dimensional Symmetric Positive Definite Tensor Fields Using the Heat Kernel Signature.” <i>Topological Methods in Data Analysis and Visualization III </i>, Springer, 2014, pp. 249–62, doi:<a href=\"https://doi.org/10.1007/978-3-319-04099-8_16\">10.1007/978-3-319-04099-8_16</a>.","ama":"Zobel V, Reininghaus J, Hotz I. Visualization of two-dimensional symmetric positive definite tensor fields using the heat kernel signature. In: <i>Topological Methods in Data Analysis and Visualization III </i>. Springer; 2014:249-262. doi:<a href=\"https://doi.org/10.1007/978-3-319-04099-8_16\">10.1007/978-3-319-04099-8_16</a>","ieee":"V. Zobel, J. Reininghaus, and I. Hotz, “Visualization of two-dimensional symmetric positive definite tensor fields using the heat kernel signature,” in <i>Topological Methods in Data Analysis and Visualization III </i>, 2014, pp. 249–262.","chicago":"Zobel, Valentin, Jan Reininghaus, and Ingrid Hotz. “Visualization of Two-Dimensional Symmetric Positive Definite Tensor Fields Using the Heat Kernel Signature.” In <i>Topological Methods in Data Analysis and Visualization III </i>, 249–62. Springer, 2014. <a href=\"https://doi.org/10.1007/978-3-319-04099-8_16\">https://doi.org/10.1007/978-3-319-04099-8_16</a>.","short":"V. Zobel, J. Reininghaus, I. Hotz, in:, Topological Methods in Data Analysis and Visualization III , Springer, 2014, pp. 249–262.","ista":"Zobel V, Reininghaus J, Hotz I. 2014. Visualization of two-dimensional symmetric positive definite tensor fields using the heat kernel signature. Topological Methods in Data Analysis and Visualization III . , Mathematics and Visualization, , 249–262."},"day":"19","year":"2014","type":"conference","date_updated":"2023-09-05T14:13:16Z","oa_version":"None","language":[{"iso":"eng"}],"doi":"10.1007/978-3-319-04099-8_16","_id":"10886","department":[{"_id":"HeEd"}],"title":"Visualization of two-dimensional symmetric positive definite tensor fields using the heat kernel signature","publication":"Topological Methods in Data Analysis and Visualization III ","publication_status":"published","abstract":[{"text":"We propose a method for visualizing two-dimensional symmetric positive definite tensor fields using the Heat Kernel Signature (HKS). The HKS is derived from the heat kernel and was originally introduced as an isometry invariant shape signature. Each positive definite tensor field defines a Riemannian manifold by considering the tensor field as a Riemannian metric. On this Riemmanian manifold we can apply the definition of the HKS. The resulting scalar quantity is used for the visualization of tensor fields. The HKS is closely related to the Gaussian curvature of the Riemannian manifold and the time parameter of the heat kernel allows a multiscale analysis in a natural way. In this way, the HKS represents field related scale space properties, enabling a level of detail analysis of tensor fields. This makes the HKS an interesting new scalar quantity for tensor fields, which differs significantly from usual tensor invariants like the trace or the determinant. A method for visualization and a numerical realization of the HKS for tensor fields is proposed in this chapter. To validate the approach we apply it to some illustrating simple examples as isolated critical points and to a medical diffusion tensor data set.","lang":"eng"}],"acknowledgement":"This research is partially supported by the TOPOSYS project FP7-ICT-318493-STREP."},{"department":[{"_id":"HeEd"}],"language":[{"iso":"eng"}],"doi":"10.1007/978-3-319-13075-0_10","acknowledgement":"T. Biedl was supported by NSERC and the Ross and Muriel Cheriton Fellowship. P. Palfrader was supported by Austrian Science Fund (FWF): P25816-N15.","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","article_processing_charge":"No","day":"08","oa_version":"None","date_updated":"2023-02-23T12:20:55Z","type":"conference","scopus_import":"1","publication_identifier":{"eisbn":["9783319130750"],"issn":["0302-9743"],"eissn":["1611-3349"],"isbn":["9783319130743"]},"alternative_title":["LNCS"],"page":"117-127","date_published":"2014-11-08T00:00:00Z","_id":"10892","related_material":{"record":[{"status":"public","relation":"later_version","id":"481"}]},"publication":"25th International Symposium, ISAAC 2014","title":"Planar matchings for weighted straight skeletons","abstract":[{"lang":"eng","text":"In this paper, we introduce planar matchings on directed pseudo-line arrangements, which yield a planar set of pseudo-line segments such that only matching-partners are adjacent. By translating the planar matching problem into a corresponding stable roommates problem we show that such matchings always exist.\r\nUsing our new framework, we establish, for the first time, a complete, rigorous definition of weighted straight skeletons, which are based on a so-called wavefront propagation process. We present a generalized and unified approach to treat structural changes in the wavefront that focuses on the restoration of weak planarity by finding planar matchings."}],"publication_status":"published","author":[{"last_name":"Biedl","first_name":"Therese","full_name":"Biedl, Therese"},{"last_name":"Huber","first_name":"Stefan","id":"4700A070-F248-11E8-B48F-1D18A9856A87","full_name":"Huber, Stefan","orcid":"0000-0002-8871-5814"},{"full_name":"Palfrader, Peter","last_name":"Palfrader","first_name":"Peter"}],"quality_controlled":"1","citation":{"ista":"Biedl T, Huber S, Palfrader P. 2014. Planar matchings for weighted straight skeletons. 25th International Symposium, ISAAC 2014. ISAAC: International Symposium on Algorithms and Computation, LNCS, vol. 8889, 117–127.","short":"T. Biedl, S. Huber, P. Palfrader, in:, 25th International Symposium, ISAAC 2014, Springer Nature, 2014, pp. 117–127.","chicago":"Biedl, Therese, Stefan Huber, and Peter Palfrader. “Planar Matchings for Weighted Straight Skeletons.” In <i>25th International Symposium, ISAAC 2014</i>, 8889:117–27. Springer Nature, 2014. <a href=\"https://doi.org/10.1007/978-3-319-13075-0_10\">https://doi.org/10.1007/978-3-319-13075-0_10</a>.","ieee":"T. Biedl, S. Huber, and P. Palfrader, “Planar matchings for weighted straight skeletons,” in <i>25th International Symposium, ISAAC 2014</i>, Jeonju, Korea, 2014, vol. 8889, pp. 117–127.","ama":"Biedl T, Huber S, Palfrader P. Planar matchings for weighted straight skeletons. In: <i>25th International Symposium, ISAAC 2014</i>. Vol 8889. Springer Nature; 2014:117-127. doi:<a href=\"https://doi.org/10.1007/978-3-319-13075-0_10\">10.1007/978-3-319-13075-0_10</a>","mla":"Biedl, Therese, et al. “Planar Matchings for Weighted Straight Skeletons.” <i>25th International Symposium, ISAAC 2014</i>, vol. 8889, Springer Nature, 2014, pp. 117–27, doi:<a href=\"https://doi.org/10.1007/978-3-319-13075-0_10\">10.1007/978-3-319-13075-0_10</a>.","apa":"Biedl, T., Huber, S., &#38; Palfrader, P. (2014). Planar matchings for weighted straight skeletons. In <i>25th International Symposium, ISAAC 2014</i> (Vol. 8889, pp. 117–127). Jeonju, Korea: Springer Nature. <a href=\"https://doi.org/10.1007/978-3-319-13075-0_10\">https://doi.org/10.1007/978-3-319-13075-0_10</a>"},"year":"2014","intvolume":"      8889","status":"public","month":"11","conference":{"name":"ISAAC: International Symposium on Algorithms and Computation","end_date":"2014-12-17","start_date":"2014-12-15","location":"Jeonju, Korea"},"date_created":"2022-03-21T07:09:03Z","volume":8889,"publisher":"Springer Nature"},{"date_published":"2014-03-19T00:00:00Z","page":"55-69","scopus_import":"1","publication_identifier":{"eisbn":["9783319040998"],"issn":["1612-3786"],"eissn":["2197-666X"],"isbn":["9783319040981"]},"article_processing_charge":"No","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","oa_version":"None","type":"book_chapter","series_title":"Mathematics and Visualization","date_updated":"2022-06-21T12:01:47Z","day":"19","ec_funded":1,"department":[{"_id":"HeEd"}],"doi":"10.1007/978-3-319-04099-8_4","language":[{"iso":"eng"}],"acknowledgement":"First, we thank the reviewers of this paper for their ideas and critical comments. In addition, we thank Ronny Peikert and Filip Sadlo for a fruitful discussions. This research is supported by the European Commission under the TOPOSYS project FP7-ICT-318493-STREP, the European Social Fund (ESF App. No. 100098251), and the European Science Foundation under the ACAT Research Network Program.","volume":1,"editor":[{"full_name":"Bremer, Peer-Timo","first_name":"Peer-Timo","last_name":"Bremer"},{"first_name":"Ingrid","last_name":"Hotz","full_name":"Hotz, Ingrid"},{"first_name":"Valerio","last_name":"Pascucci","full_name":"Pascucci, Valerio"},{"full_name":"Peikert, Ronald","last_name":"Peikert","first_name":"Ronald"}],"publisher":"Springer","intvolume":"         1","place":"Cham","month":"03","date_created":"2022-03-21T07:11:23Z","status":"public","citation":{"chicago":"Kasten, Jens, Jan Reininghaus, Wieland Reich, and Gerik Scheuermann. “Toward the Extraction of Saddle Periodic Orbits.” In <i>Topological Methods in Data Analysis and Visualization III </i>, edited by Peer-Timo Bremer, Ingrid Hotz, Valerio Pascucci, and Ronald Peikert, 1:55–69. Mathematics and Visualization. Cham: Springer, 2014. <a href=\"https://doi.org/10.1007/978-3-319-04099-8_4\">https://doi.org/10.1007/978-3-319-04099-8_4</a>.","short":"J. Kasten, J. Reininghaus, W. Reich, G. Scheuermann, in:, P.-T. Bremer, I. Hotz, V. Pascucci, R. Peikert (Eds.), Topological Methods in Data Analysis and Visualization III , Springer, Cham, 2014, pp. 55–69.","ista":"Kasten J, Reininghaus J, Reich W, Scheuermann G. 2014.Toward the extraction of saddle periodic orbits. In: Topological Methods in Data Analysis and Visualization III . vol. 1, 55–69.","ieee":"J. Kasten, J. Reininghaus, W. Reich, and G. Scheuermann, “Toward the extraction of saddle periodic orbits,” in <i>Topological Methods in Data Analysis and Visualization III </i>, vol. 1, P.-T. Bremer, I. Hotz, V. Pascucci, and R. Peikert, Eds. Cham: Springer, 2014, pp. 55–69.","ama":"Kasten J, Reininghaus J, Reich W, Scheuermann G. Toward the extraction of saddle periodic orbits. In: Bremer P-T, Hotz I, Pascucci V, Peikert R, eds. <i>Topological Methods in Data Analysis and Visualization III </i>. Vol 1. Mathematics and Visualization. Cham: Springer; 2014:55-69. doi:<a href=\"https://doi.org/10.1007/978-3-319-04099-8_4\">10.1007/978-3-319-04099-8_4</a>","mla":"Kasten, Jens, et al. “Toward the Extraction of Saddle Periodic Orbits.” <i>Topological Methods in Data Analysis and Visualization III </i>, edited by Peer-Timo Bremer et al., vol. 1, Springer, 2014, pp. 55–69, doi:<a href=\"https://doi.org/10.1007/978-3-319-04099-8_4\">10.1007/978-3-319-04099-8_4</a>.","apa":"Kasten, J., Reininghaus, J., Reich, W., &#38; Scheuermann, G. (2014). Toward the extraction of saddle periodic orbits. In P.-T. Bremer, I. Hotz, V. Pascucci, &#38; R. Peikert (Eds.), <i>Topological Methods in Data Analysis and Visualization III </i> (Vol. 1, pp. 55–69). Cham: Springer. <a href=\"https://doi.org/10.1007/978-3-319-04099-8_4\">https://doi.org/10.1007/978-3-319-04099-8_4</a>"},"author":[{"first_name":"Jens","last_name":"Kasten","full_name":"Kasten, Jens"},{"last_name":"Reininghaus","first_name":"Jan","full_name":"Reininghaus, Jan","id":"4505473A-F248-11E8-B48F-1D18A9856A87"},{"last_name":"Reich","first_name":"Wieland","full_name":"Reich, Wieland"},{"first_name":"Gerik","last_name":"Scheuermann","full_name":"Scheuermann, Gerik"}],"quality_controlled":"1","year":"2014","publication":"Topological Methods in Data Analysis and Visualization III ","title":"Toward the extraction of saddle periodic orbits","_id":"10893","project":[{"grant_number":"318493","name":"Topological Complex Systems","call_identifier":"FP7","_id":"255D761E-B435-11E9-9278-68D0E5697425"}],"abstract":[{"text":"Saddle periodic orbits are an essential and stable part of the topological skeleton of a 3D vector field. Nevertheless, there is currently no efficient algorithm to robustly extract these features. In this chapter, we present a novel technique to extract saddle periodic orbits. Exploiting the analytic properties of such an orbit, we propose a scalar measure based on the finite-time Lyapunov exponent (FTLE) that indicates its presence. Using persistent homology, we can then extract the robust cycles of this field. These cycles thereby represent the saddle periodic orbits of the given vector field. We discuss the different existing FTLE approximation schemes regarding their applicability to this specific problem and propose an adapted version of FTLE called Normalized Velocity Separation. Finally, we evaluate our method using simple analytic vector field data.","lang":"eng"}],"publication_status":"published"},{"publisher":"Springer Berlin Heidelberg","volume":8592,"date_created":"2022-03-21T07:12:16Z","month":"09","conference":{"start_date":"2014-08-05","location":"Seoul, South Korea","name":"ICMS: International Congress on Mathematical Software","end_date":"2014-08-09"},"status":"public","intvolume":"      8592","place":"Berlin, Heidelberg","year":"2014","citation":{"short":"U. Bauer, M. Kerber, J. Reininghaus, H. Wagner, in:, ICMS 2014: International Congress on Mathematical Software, Springer Berlin Heidelberg, Berlin, Heidelberg, 2014, pp. 137–143.","chicago":"Bauer, Ulrich, Michael Kerber, Jan Reininghaus, and Hubert Wagner. “PHAT – Persistent Homology Algorithms Toolbox.” In <i>ICMS 2014: International Congress on Mathematical Software</i>, 8592:137–43. LNCS. Berlin, Heidelberg: Springer Berlin Heidelberg, 2014. <a href=\"https://doi.org/10.1007/978-3-662-44199-2_24\">https://doi.org/10.1007/978-3-662-44199-2_24</a>.","ista":"Bauer U, Kerber M, Reininghaus J, Wagner H. 2014. PHAT – Persistent Homology Algorithms Toolbox. ICMS 2014: International Congress on Mathematical Software. ICMS: International Congress on Mathematical SoftwareLNCS vol. 8592, 137–143.","ieee":"U. Bauer, M. Kerber, J. Reininghaus, and H. Wagner, “PHAT – Persistent Homology Algorithms Toolbox,” in <i>ICMS 2014: International Congress on Mathematical Software</i>, Seoul, South Korea, 2014, vol. 8592, pp. 137–143.","ama":"Bauer U, Kerber M, Reininghaus J, Wagner H. PHAT – Persistent Homology Algorithms Toolbox. In: <i>ICMS 2014: International Congress on Mathematical Software</i>. Vol 8592. LNCS. Berlin, Heidelberg: Springer Berlin Heidelberg; 2014:137-143. doi:<a href=\"https://doi.org/10.1007/978-3-662-44199-2_24\">10.1007/978-3-662-44199-2_24</a>","mla":"Bauer, Ulrich, et al. “PHAT – Persistent Homology Algorithms Toolbox.” <i>ICMS 2014: International Congress on Mathematical Software</i>, vol. 8592, Springer Berlin Heidelberg, 2014, pp. 137–43, doi:<a href=\"https://doi.org/10.1007/978-3-662-44199-2_24\">10.1007/978-3-662-44199-2_24</a>.","apa":"Bauer, U., Kerber, M., Reininghaus, J., &#38; Wagner, H. (2014). PHAT – Persistent Homology Algorithms Toolbox. In <i>ICMS 2014: International Congress on Mathematical Software</i> (Vol. 8592, pp. 137–143). Berlin, Heidelberg: Springer Berlin Heidelberg. <a href=\"https://doi.org/10.1007/978-3-662-44199-2_24\">https://doi.org/10.1007/978-3-662-44199-2_24</a>"},"quality_controlled":"1","author":[{"last_name":"Bauer","first_name":"Ulrich","full_name":"Bauer, Ulrich","orcid":"0000-0002-9683-0724","id":"2ADD483A-F248-11E8-B48F-1D18A9856A87"},{"first_name":"Michael","last_name":"Kerber","full_name":"Kerber, Michael"},{"first_name":"Jan","last_name":"Reininghaus","full_name":"Reininghaus, Jan","id":"4505473A-F248-11E8-B48F-1D18A9856A87"},{"first_name":"Hubert","last_name":"Wagner","full_name":"Wagner, Hubert"}],"publication_status":"published","abstract":[{"text":"PHAT is a C++ library for the computation of persistent homology by matrix reduction. We aim for a simple generic design that decouples algorithms from data structures without sacrificing efficiency or user-friendliness. This makes PHAT a versatile platform for experimenting with algorithmic ideas and comparing them to state of the art implementations.","lang":"eng"}],"publication":"ICMS 2014: International Congress on Mathematical Software","title":"PHAT – Persistent Homology Algorithms Toolbox","related_material":{"record":[{"id":"1433","relation":"later_version","status":"public"}]},"_id":"10894","date_published":"2014-09-01T00:00:00Z","page":"137-143","publication_identifier":{"isbn":["9783662441985"],"eissn":["1611-3349"],"issn":["0302-9743"],"eisbn":["9783662441992"]},"scopus_import":"1","date_updated":"2023-09-20T09:42:40Z","series_title":"LNCS","type":"conference","oa_version":"None","day":"01","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","article_processing_charge":"No","language":[{"iso":"eng"}],"doi":"10.1007/978-3-662-44199-2_24","department":[{"_id":"HeEd"}]},{"day":"01","oa_version":"Submitted Version","date_updated":"2023-09-07T12:02:27Z","type":"conference","user_id":"4435EBFC-F248-11E8-B48F-1D18A9856A87","department":[{"_id":"KrPi"}],"has_accepted_license":"1","language":[{"iso":"eng"}],"doi":"10.1007/978-3-662-44371-2_7","ec_funded":1,"page":"113 - 130","file":[{"file_size":492310,"creator":"system","content_type":"application/pdf","relation":"main_file","date_created":"2018-12-12T10:13:17Z","checksum":"dab6ab36a5f6af94f2b597e6404ed11d","file_name":"IST-2016-682-v1+1_578.pdf","access_level":"open_access","file_id":"4999","date_updated":"2020-07-14T12:45:28Z"}],"date_published":"2014-01-01T00:00:00Z","alternative_title":["LNCS"],"year":"2014","author":[{"id":"3E0BFE38-F248-11E8-B48F-1D18A9856A87","full_name":"Gazi, Peter","last_name":"Gazi","first_name":"Peter"},{"last_name":"Pietrzak","first_name":"Krzysztof Z","id":"3E04A7AA-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-9139-1654","full_name":"Pietrzak, Krzysztof Z"},{"first_name":"Michal","last_name":"Rybar","full_name":"Rybar, Michal","id":"2B3E3DE8-F248-11E8-B48F-1D18A9856A87"}],"quality_controlled":"1","citation":{"apa":"Gazi, P., Pietrzak, K. Z., &#38; Rybar, M. (2014). The exact PRF-security of NMAC and HMAC. In J. Garay &#38; R. Gennaro (Eds.) (Vol. 8616, pp. 113–130). Presented at the CRYPTO: International Cryptology Conference, Santa Barbara, USA: Springer. <a href=\"https://doi.org/10.1007/978-3-662-44371-2_7\">https://doi.org/10.1007/978-3-662-44371-2_7</a>","mla":"Gazi, Peter, et al. <i>The Exact PRF-Security of NMAC and HMAC</i>. Edited by Juan Garay and Rosario Gennaro, vol. 8616, no. 1, Springer, 2014, pp. 113–30, doi:<a href=\"https://doi.org/10.1007/978-3-662-44371-2_7\">10.1007/978-3-662-44371-2_7</a>.","chicago":"Gazi, Peter, Krzysztof Z Pietrzak, and Michal Rybar. “The Exact PRF-Security of NMAC and HMAC.” edited by Juan Garay and Rosario Gennaro, 8616:113–30. Springer, 2014. <a href=\"https://doi.org/10.1007/978-3-662-44371-2_7\">https://doi.org/10.1007/978-3-662-44371-2_7</a>.","short":"P. Gazi, K.Z. Pietrzak, M. Rybar, in:, J. Garay, R. Gennaro (Eds.), Springer, 2014, pp. 113–130.","ista":"Gazi P, Pietrzak KZ, Rybar M. 2014. The exact PRF-security of NMAC and HMAC. CRYPTO: International Cryptology Conference, LNCS, vol. 8616, 113–130.","ieee":"P. Gazi, K. Z. Pietrzak, and M. Rybar, “The exact PRF-security of NMAC and HMAC,” presented at the CRYPTO: International Cryptology Conference, Santa Barbara, USA, 2014, vol. 8616, no. 1, pp. 113–130.","ama":"Gazi P, Pietrzak KZ, Rybar M. The exact PRF-security of NMAC and HMAC. In: Garay J, Gennaro R, eds. Vol 8616. Springer; 2014:113-130. doi:<a href=\"https://doi.org/10.1007/978-3-662-44371-2_7\">10.1007/978-3-662-44371-2_7</a>"},"abstract":[{"text":"NMAC is a mode of operation which turns a fixed input-length keyed hash function f into a variable input-length function. A practical single-key variant of NMAC called HMAC is a very popular and widely deployed message authentication code (MAC). Security proofs and attacks for NMAC can typically be lifted to HMAC. NMAC was introduced by Bellare, Canetti and Krawczyk [Crypto'96], who proved it to be a secure pseudorandom function (PRF), and thus also a MAC, assuming that (1) f is a PRF and (2) the function we get when cascading f is weakly collision-resistant. Unfortunately, HMAC is typically instantiated with cryptographic hash functions like MD5 or SHA-1 for which (2) has been found to be wrong. To restore the provable guarantees for NMAC, Bellare [Crypto'06] showed its security based solely on the assumption that f is a PRF, albeit via a non-uniform reduction. - Our first contribution is a simpler and uniform proof for this fact: If f is an ε-secure PRF (against q queries) and a δ-non-adaptively secure PRF (against q queries), then NMAC f is an (ε+ℓqδ)-secure PRF against q queries of length at most ℓ blocks each. - We then show that this ε+ℓqδ bound is basically tight. For the most interesting case where ℓqδ ≥ ε we prove this by constructing an f for which an attack with advantage ℓqδ exists. This also violates the bound O(ℓε) on the PRF-security of NMAC recently claimed by Koblitz and Menezes. - Finally, we analyze the PRF-security of a modification of NMAC called NI [An and Bellare, Crypto'99] that differs mainly by using a compression function with an additional keying input. This avoids the constant rekeying on multi-block messages in NMAC and allows for a security proof starting by the standard switch from a PRF to a random function, followed by an information-theoretic analysis. We carry out such an analysis, obtaining a tight ℓq2/2 c bound for this step, improving over the trivial bound of ℓ2q2/2c. The proof borrows combinatorial techniques originally developed for proving the security of CBC-MAC [Bellare et al., Crypto'05].","lang":"eng"}],"publication_status":"published","project":[{"grant_number":"259668","name":"Provable Security for Physical Cryptography","_id":"258C570E-B435-11E9-9278-68D0E5697425","call_identifier":"FP7"}],"_id":"2082","ddc":["000","004"],"related_material":{"record":[{"id":"838","status":"public","relation":"dissertation_contains"}]},"oa":1,"title":"The exact PRF-security of NMAC and HMAC","editor":[{"full_name":"Garay, Juan","first_name":"Juan","last_name":"Garay"},{"full_name":"Gennaro, Rosario","first_name":"Rosario","last_name":"Gennaro"}],"publisher":"Springer","file_date_updated":"2020-07-14T12:45:28Z","pubrep_id":"682","volume":8616,"issue":"1","status":"public","month":"01","conference":{"location":"Santa Barbara, USA","start_date":"2014-08-17","name":"CRYPTO: International Cryptology Conference","end_date":"2014-08-21"},"date_created":"2018-12-11T11:55:36Z","publist_id":"4955","intvolume":"      8616"},{"language":[{"iso":"eng"}],"doi":"10.1111/evo.12440","department":[{"_id":"CaGu"}],"has_accepted_license":"1","acknowledgement":"The authors are grateful to the Leverhulme Trust (F/00 215/AW) for funding this work.","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","article_processing_charge":"No","type":"journal_article","date_updated":"2023-02-23T14:06:51Z","oa_version":"Published Version","day":"25","scopus_import":1,"date_published":"2014-04-25T00:00:00Z","file":[{"file_size":467254,"content_type":"application/pdf","creator":"dernst","date_created":"2020-05-14T16:40:31Z","relation":"main_file","access_level":"open_access","checksum":"8d459b07e4a11bb5fde92d969184fe48","file_name":"2014_Evolution_Lagator.pdf","file_id":"7845","date_updated":"2020-07-14T12:45:28Z"}],"page":"2296 - 2305","publication":"Evolution","title":"Role of sex and migration in adaptation to sink environments","oa":1,"related_material":{"record":[{"id":"9747","relation":"research_data","status":"public"}]},"ddc":["570"],"_id":"2083","publication_status":"published","abstract":[{"lang":"eng","text":"Understanding the effects of sex and migration on adaptation to novel environments remains a key problem in evolutionary biology. Using a single-cell alga Chlamydomonas reinhardtii, we investigated how sex and migration affected rates of evolutionary rescue in a sink environment, and subsequent changes in fitness following evolutionary rescue. We show that sex and migration affect both the rate of evolutionary rescue and subsequent adaptation. However, their combined effects change as the populations adapt to a sink habitat. Both sex and migration independently increased rates of evolutionary rescue, but the effect of sex on subsequent fitness improvements, following initial rescue, changed with migration, as sex was beneficial in the absence of migration but constraining adaptation when combined with migration. These results suggest that sex and migration are beneficial during the initial stages of adaptation, but can become detrimental as the population adapts to its environment."}],"citation":{"mla":"Lagator, Mato, et al. “Role of Sex and Migration in Adaptation to Sink Environments.” <i>Evolution</i>, vol. 68, no. 8, Wiley, 2014, pp. 2296–305, doi:<a href=\"https://doi.org/10.1111/evo.12440\">10.1111/evo.12440</a>.","apa":"Lagator, M., Morgan, A., Neve, P., &#38; Colegrave, N. (2014). Role of sex and migration in adaptation to sink environments. <i>Evolution</i>. Wiley. <a href=\"https://doi.org/10.1111/evo.12440\">https://doi.org/10.1111/evo.12440</a>","ista":"Lagator M, Morgan A, Neve P, Colegrave N. 2014. Role of sex and migration in adaptation to sink environments. Evolution. 68(8), 2296–2305.","short":"M. Lagator, A. Morgan, P. Neve, N. Colegrave, Evolution 68 (2014) 2296–2305.","chicago":"Lagator, Mato, Andrew Morgan, Paul Neve, and Nick Colegrave. “Role of Sex and Migration in Adaptation to Sink Environments.” <i>Evolution</i>. Wiley, 2014. <a href=\"https://doi.org/10.1111/evo.12440\">https://doi.org/10.1111/evo.12440</a>.","ama":"Lagator M, Morgan A, Neve P, Colegrave N. Role of sex and migration in adaptation to sink environments. <i>Evolution</i>. 2014;68(8):2296-2305. doi:<a href=\"https://doi.org/10.1111/evo.12440\">10.1111/evo.12440</a>","ieee":"M. Lagator, A. Morgan, P. Neve, and N. Colegrave, “Role of sex and migration in adaptation to sink environments,” <i>Evolution</i>, vol. 68, no. 8. Wiley, pp. 2296–2305, 2014."},"quality_controlled":"1","author":[{"id":"345D25EC-F248-11E8-B48F-1D18A9856A87","full_name":"Lagator, Mato","first_name":"Mato","last_name":"Lagator"},{"full_name":"Morgan, Andrew","last_name":"Morgan","first_name":"Andrew"},{"full_name":"Neve, Paul","last_name":"Neve","first_name":"Paul"},{"full_name":"Colegrave, Nick","last_name":"Colegrave","first_name":"Nick"}],"year":"2014","intvolume":"        68","publist_id":"4954","date_created":"2018-12-11T11:55:36Z","month":"04","status":"public","issue":"8","volume":68,"file_date_updated":"2020-07-14T12:45:28Z","publisher":"Wiley","article_type":"original"},{"date_published":"2014-07-01T00:00:00Z","page":"1713 - 1726","scopus_import":1,"date_updated":"2023-09-07T12:49:09Z","type":"journal_article","oa_version":"Submitted Version","day":"01","user_id":"4435EBFC-F248-11E8-B48F-1D18A9856A87","acknowledgement":"European Union Seventh Framework Programme; Human Frontier Science Program; Oesterreichische Nationalbank Anniversary Fund 14211; Austrian Research Promotion Agency; FemTech","language":[{"iso":"eng"}],"doi":"10.15252/embj.201387695","department":[{"_id":"HaJa"}],"publisher":"Wiley-Blackwell","volume":33,"issue":"15","date_created":"2018-12-11T11:55:37Z","month":"07","status":"public","intvolume":"        33","publist_id":"4953","year":"2014","citation":{"mla":"Grusch, Michael, et al. “Spatio-Temporally Precise Activation of Engineered Receptor Tyrosine Kinases by Light.” <i>EMBO Journal</i>, vol. 33, no. 15, Wiley-Blackwell, 2014, pp. 1713–26, doi:<a href=\"https://doi.org/10.15252/embj.201387695\">10.15252/embj.201387695</a>.","apa":"Grusch, M., Schelch, K., Riedler, R., Gschaider-Reichhart, E., Differ, C., Berger, W., … Janovjak, H. L. (2014). Spatio-temporally precise activation of engineered receptor tyrosine kinases by light. <i>EMBO Journal</i>. Wiley-Blackwell. <a href=\"https://doi.org/10.15252/embj.201387695\">https://doi.org/10.15252/embj.201387695</a>","short":"M. Grusch, K. Schelch, R. Riedler, E. Gschaider-Reichhart, C. Differ, W. Berger, Á. Inglés Prieto, H.L. Janovjak, EMBO Journal 33 (2014) 1713–1726.","chicago":"Grusch, Michael, Karin Schelch, Robert Riedler, Eva Gschaider-Reichhart, Christopher Differ, Walter Berger, Álvaro Inglés Prieto, and Harald L Janovjak. “Spatio-Temporally Precise Activation of Engineered Receptor Tyrosine Kinases by Light.” <i>EMBO Journal</i>. Wiley-Blackwell, 2014. <a href=\"https://doi.org/10.15252/embj.201387695\">https://doi.org/10.15252/embj.201387695</a>.","ista":"Grusch M, Schelch K, Riedler R, Gschaider-Reichhart E, Differ C, Berger W, Inglés Prieto Á, Janovjak HL. 2014. Spatio-temporally precise activation of engineered receptor tyrosine kinases by light. EMBO Journal. 33(15), 1713–1726.","ama":"Grusch M, Schelch K, Riedler R, et al. Spatio-temporally precise activation of engineered receptor tyrosine kinases by light. <i>EMBO Journal</i>. 2014;33(15):1713-1726. doi:<a href=\"https://doi.org/10.15252/embj.201387695\">10.15252/embj.201387695</a>","ieee":"M. Grusch <i>et al.</i>, “Spatio-temporally precise activation of engineered receptor tyrosine kinases by light,” <i>EMBO Journal</i>, vol. 33, no. 15. Wiley-Blackwell, pp. 1713–1726, 2014."},"main_file_link":[{"url":"http://www.ncbi.nlm.nih.gov/pmc/articles/PMC4194103/","open_access":"1"}],"author":[{"full_name":"Grusch, Michael","last_name":"Grusch","first_name":"Michael"},{"full_name":"Schelch, Karin","last_name":"Schelch","first_name":"Karin"},{"full_name":"Riedler, Robert","first_name":"Robert","last_name":"Riedler"},{"first_name":"Eva","last_name":"Gschaider-Reichhart","orcid":"0000-0002-7218-7738","full_name":"Gschaider-Reichhart, Eva","id":"3FEE232A-F248-11E8-B48F-1D18A9856A87"},{"full_name":"Differ, Christopher","first_name":"Christopher","last_name":"Differ"},{"last_name":"Berger","first_name":"Walter","full_name":"Berger, Walter"},{"id":"2A9DB292-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-5409-8571","full_name":"Inglés Prieto, Álvaro","first_name":"Álvaro","last_name":"Inglés Prieto"},{"last_name":"Janovjak","first_name":"Harald L","id":"33BA6C30-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-8023-9315","full_name":"Janovjak, Harald L"}],"quality_controlled":"1","publication_status":"published","abstract":[{"lang":"eng","text":"Receptor tyrosine kinases (RTKs) are a large family of cell surface receptors that sense growth factors and hormones and regulate a variety of cell behaviours in health and disease. Contactless activation of RTKs with spatial and temporal precision is currently not feasible. Here, we generated RTKs that are insensitive to endogenous ligands but can be selectively activated by low-intensity blue light. We screened light-oxygen-voltage (LOV)-sensing domains for their ability to activate RTKs by light-activated dimerization. Incorporation of LOV domains found in aureochrome photoreceptors of stramenopiles resulted in robust activation of the fibroblast growth factor receptor 1 (FGFR1), epidermal growth factor receptor (EGFR) and rearranged during transfection (RET). In human cancer and endothelial cells, light induced cellular signalling with spatial and temporal precision. Furthermore, light faithfully mimicked complex mitogenic and morphogenic cell behaviour induced by growth factors. RTKs under optical control (Opto-RTKs) provide a powerful optogenetic approach to actuate cellular signals and manipulate cell behaviour."}],"title":"Spatio-temporally precise activation of engineered receptor tyrosine kinases by light","publication":"EMBO Journal","related_material":{"record":[{"relation":"dissertation_contains","status":"public","id":"418"}]},"oa":1,"_id":"2084"},{"acknowledgement":"This study was funded jointly by a grant from BBSRC, Defra, NERC, the Scottish Government and the Wellcome Trust, under the Insect Pollinators Initiative (grant numbers BB/I00097/1 and BB/I000100/1). Rothamsted Research is a national institute of bioscience strategically funded by the UK Biotechnology and Biological Sciences Research Council (BBSRC).","department":[{"_id":"SyCr"}],"has_accepted_license":"1","doi":"10.1371/journal.pone.0103989","license":"https://creativecommons.org/licenses/by/4.0/","language":[{"iso":"eng"}],"oa_version":"Published Version","date_updated":"2023-02-23T14:11:56Z","type":"journal_article","day":"06","user_id":"4435EBFC-F248-11E8-B48F-1D18A9856A87","scopus_import":1,"file":[{"creator":"system","content_type":"application/pdf","file_size":1013386,"date_created":"2018-12-12T10:13:55Z","relation":"main_file","access_level":"open_access","checksum":"2fc62c6739eada4bddf026afbae669db","file_name":"IST-2016-437-v1+1_journal.pone.0103989.pdf","date_updated":"2020-07-14T12:45:28Z","file_id":"5042"}],"date_published":"2014-08-06T00:00:00Z","abstract":[{"lang":"eng","text":"Pathogens may gain a fitness advantage through manipulation of the behaviour of their hosts. Likewise, host behavioural changes can be a defence mechanism, counteracting the impact of pathogens on host fitness. We apply harmonic radar technology to characterize the impact of an emerging pathogen - Nosema ceranae (Microsporidia) - on honeybee (Apis mellifera) flight and orientation performance in the field. Honeybees are the most important commercial pollinators. Emerging diseases have been proposed to play a prominent role in colony decline, partly through sub-lethal behavioural manipulation of their hosts. We found that homing success was significantly reduced in diseased (65.8%) versus healthy foragers (92.5%). Although lost bees had significantly reduced continuous flight times and prolonged resting times, other flight characteristics and navigational abilities showed no significant difference between infected and non-infected bees. Our results suggest that infected bees express normal flight characteristics but are constrained in their homing ability, potentially compromising the colony by reducing its resource inputs, but also counteracting the intra-colony spread of infection. We provide the first high-resolution analysis of sub-lethal effects of an emerging disease on insect flight behaviour. The potential causes and the implications for both host and parasite are discussed."}],"publication_status":"published","publication":"PLoS One","title":"So near and yet so far: Harmonic radar reveals reduced homing ability of Nosema infected honeybees","_id":"2086","oa":1,"related_material":{"record":[{"status":"public","relation":"research_data","id":"9888"}]},"ddc":["570"],"tmp":{"image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"year":"2014","citation":{"ieee":"S. Wolf <i>et al.</i>, “So near and yet so far: Harmonic radar reveals reduced homing ability of Nosema infected honeybees,” <i>PLoS One</i>, vol. 9, no. 8. Public Library of Science, 2014.","ama":"Wolf S, Mcmahon D, Lim K, et al. So near and yet so far: Harmonic radar reveals reduced homing ability of Nosema infected honeybees. <i>PLoS One</i>. 2014;9(8). doi:<a href=\"https://doi.org/10.1371/journal.pone.0103989\">10.1371/journal.pone.0103989</a>","short":"S. Wolf, D. Mcmahon, K. Lim, C. Pull, S. Clark, R. Paxton, J. Osborne, PLoS One 9 (2014).","chicago":"Wolf, Stephan, Dino Mcmahon, Ka Lim, Christopher Pull, Suzanne Clark, Robert Paxton, and Juliet Osborne. “So near and yet so Far: Harmonic Radar Reveals Reduced Homing Ability of Nosema Infected Honeybees.” <i>PLoS One</i>. Public Library of Science, 2014. <a href=\"https://doi.org/10.1371/journal.pone.0103989\">https://doi.org/10.1371/journal.pone.0103989</a>.","ista":"Wolf S, Mcmahon D, Lim K, Pull C, Clark S, Paxton R, Osborne J. 2014. So near and yet so far: Harmonic radar reveals reduced homing ability of Nosema infected honeybees. PLoS One. 9(8), e103989.","apa":"Wolf, S., Mcmahon, D., Lim, K., Pull, C., Clark, S., Paxton, R., &#38; Osborne, J. (2014). So near and yet so far: Harmonic radar reveals reduced homing ability of Nosema infected honeybees. <i>PLoS One</i>. Public Library of Science. <a href=\"https://doi.org/10.1371/journal.pone.0103989\">https://doi.org/10.1371/journal.pone.0103989</a>","mla":"Wolf, Stephan, et al. “So near and yet so Far: Harmonic Radar Reveals Reduced Homing Ability of Nosema Infected Honeybees.” <i>PLoS One</i>, vol. 9, no. 8, e103989, Public Library of Science, 2014, doi:<a href=\"https://doi.org/10.1371/journal.pone.0103989\">10.1371/journal.pone.0103989</a>."},"quality_controlled":"1","author":[{"last_name":"Wolf","first_name":"Stephan","full_name":"Wolf, Stephan"},{"last_name":"Mcmahon","first_name":"Dino","full_name":"Mcmahon, Dino"},{"first_name":"Ka","last_name":"Lim","full_name":"Lim, Ka"},{"full_name":"Pull, Christopher","orcid":"0000-0003-1122-3982","id":"3C7F4840-F248-11E8-B48F-1D18A9856A87","last_name":"Pull","first_name":"Christopher"},{"first_name":"Suzanne","last_name":"Clark","full_name":"Clark, Suzanne"},{"full_name":"Paxton, Robert","first_name":"Robert","last_name":"Paxton"},{"full_name":"Osborne, Juliet","last_name":"Osborne","first_name":"Juliet"}],"month":"08","date_created":"2018-12-11T11:55:37Z","status":"public","article_number":"e103989","intvolume":"         9","publist_id":"4949","file_date_updated":"2020-07-14T12:45:28Z","publisher":"Public Library of Science","pubrep_id":"437","volume":9,"issue":"8"},{"oa":1,"related_material":{"record":[{"id":"3165","status":"public","relation":"earlier_version"}]},"_id":"2141","title":"Efficient and dynamic algorithms for alternating Büchi games and maximal end-component decomposition","publication":"Journal of the ACM","publication_status":"published","abstract":[{"lang":"eng","text":"The computation of the winning set for Büchi objectives in alternating games on graphs is a central problem in computer-aided verification with a large number of applications. The long-standing best known upper bound for solving the problem is Õ(n ⋅ m), where n is the number of vertices and m is the number of edges in the graph. We are the first to break the Õ(n ⋅ m) boundary by presenting a new technique that reduces the running time to O(n2). This bound also leads to O(n2)-time algorithms for computing the set of almost-sure winning vertices for Büchi objectives (1) in alternating games with probabilistic transitions (improving an earlier bound of Õ(n ⋅ m)), (2) in concurrent graph games with constant actions (improving an earlier bound of O(n3)), and (3) in Markov decision processes (improving for m&gt;n4/3 an earlier bound of O(m ⋅ √m)). We then show how to maintain the winning set for Büchi objectives in alternating games under a sequence of edge insertions or a sequence of edge deletions in O(n) amortized time per operation. Our algorithms are the first dynamic algorithms for this problem. We then consider another core graph theoretic problem in verification of probabilistic systems, namely computing the maximal end-component decomposition of a graph. We present two improved static algorithms for the maximal end-component decomposition problem. Our first algorithm is an O(m ⋅ √m)-time algorithm, and our second algorithm is an O(n2)-time algorithm which is obtained using the same technique as for alternating Büchi games. Thus, we obtain an O(min &amp;lcu;m ⋅ √m,n2})-time algorithm improving the long-standing O(n ⋅ m) time bound. Finally, we show how to maintain the maximal end-component decomposition of a graph under a sequence of edge insertions or a sequence of edge deletions in O(n) amortized time per edge deletion, and O(m) worst-case time per edge insertion. Again, our algorithms are the first dynamic algorithms for this problem."}],"project":[{"_id":"2584A770-B435-11E9-9278-68D0E5697425","call_identifier":"FWF","grant_number":"P 23499-N23","name":"Modern Graph Algorithmic Techniques in Formal Verification"},{"grant_number":"ICT15-003","name":"Efficient Algorithms for Computer Aided Verification","_id":"25892FC0-B435-11E9-9278-68D0E5697425"},{"call_identifier":"FWF","_id":"25863FF4-B435-11E9-9278-68D0E5697425","name":"Game Theory","grant_number":"S11407"},{"name":"Quantitative Graph Games: Theory and Applications","grant_number":"279307","call_identifier":"FP7","_id":"2581B60A-B435-11E9-9278-68D0E5697425"},{"_id":"2587B514-B435-11E9-9278-68D0E5697425","name":"Microsoft Research Faculty Fellowship"}],"quality_controlled":"1","author":[{"id":"2E5DCA20-F248-11E8-B48F-1D18A9856A87","full_name":"Chatterjee, Krishnendu","orcid":"0000-0002-4561-241X","first_name":"Krishnendu","last_name":"Chatterjee"},{"orcid":"0000-0002-5008-6530","full_name":"Henzinger, Monika H","id":"540c9bbd-f2de-11ec-812d-d04a5be85630","last_name":"Henzinger","first_name":"Monika H"}],"main_file_link":[{"open_access":"1","url":"https://eprints.cs.univie.ac.at/3933/"}],"citation":{"mla":"Chatterjee, Krishnendu, and Monika H. Henzinger. “Efficient and Dynamic Algorithms for Alternating Büchi Games and Maximal End-Component Decomposition.” <i>Journal of the ACM</i>, vol. 61, no. 3, a15, ACM, 2014, doi:<a href=\"https://doi.org/10.1145/2597631\">10.1145/2597631</a>.","apa":"Chatterjee, K., &#38; Henzinger, M. H. (2014). Efficient and dynamic algorithms for alternating Büchi games and maximal end-component decomposition. <i>Journal of the ACM</i>. ACM. <a href=\"https://doi.org/10.1145/2597631\">https://doi.org/10.1145/2597631</a>","ista":"Chatterjee K, Henzinger MH. 2014. Efficient and dynamic algorithms for alternating Büchi games and maximal end-component decomposition. Journal of the ACM. 61(3), a15.","short":"K. Chatterjee, M.H. Henzinger, Journal of the ACM 61 (2014).","chicago":"Chatterjee, Krishnendu, and Monika H Henzinger. “Efficient and Dynamic Algorithms for Alternating Büchi Games and Maximal End-Component Decomposition.” <i>Journal of the ACM</i>. ACM, 2014. <a href=\"https://doi.org/10.1145/2597631\">https://doi.org/10.1145/2597631</a>.","ieee":"K. Chatterjee and M. H. Henzinger, “Efficient and dynamic algorithms for alternating Büchi games and maximal end-component decomposition,” <i>Journal of the ACM</i>, vol. 61, no. 3. ACM, 2014.","ama":"Chatterjee K, Henzinger MH. Efficient and dynamic algorithms for alternating Büchi games and maximal end-component decomposition. <i>Journal of the ACM</i>. 2014;61(3). doi:<a href=\"https://doi.org/10.1145/2597631\">10.1145/2597631</a>"},"year":"2014","publist_id":"4883","intvolume":"        61","status":"public","article_number":"a15","date_created":"2018-12-11T11:55:57Z","month":"05","issue":"3","volume":61,"publisher":"ACM","language":[{"iso":"eng"}],"doi":"10.1145/2597631","department":[{"_id":"KrCh"}],"ec_funded":1,"user_id":"6785fbc1-c503-11eb-8a32-93094b40e1cf","article_processing_charge":"No","day":"01","date_updated":"2025-06-02T08:53:48Z","type":"journal_article","oa_version":"Submitted Version","scopus_import":"1","date_published":"2014-05-01T00:00:00Z"},{"publication_status":"published","abstract":[{"text":"We define a simple, explicit map sending a morphism f : M → N of pointwise finite dimensional persistence modules to a matching between the barcodes of M and N. Our main result is that, in a precise sense, the quality of this matching is tightly controlled by the lengths of the longest intervals in the barcodes of ker f and coker f . As an immediate corollary, we obtain a new proof of the algebraic stability theorem for persistence barcodes [5, 9], a fundamental result in the theory of persistent homology. In contrast to previous proofs, ours shows explicitly how a δ-interleaving morphism between two persistence modules induces a δ-matching between the barcodes of the two modules. Our main result also specializes to a structure theorem for submodules and quotients of persistence modules. Copyright is held by the owner/author(s).","lang":"eng"}],"project":[{"call_identifier":"FP7","_id":"255D761E-B435-11E9-9278-68D0E5697425","grant_number":"318493","name":"Topological Complex Systems"}],"language":[{"iso":"eng"}],"oa":1,"doi":"10.1145/2582112.2582168","_id":"2153","department":[{"_id":"HeEd"}],"publication":"Proceedings of the Annual Symposium on Computational Geometry","ec_funded":1,"title":"Induced matchings of barcodes and the algebraic stability of persistence","day":"01","year":"2014","date_updated":"2021-01-12T06:55:38Z","type":"conference","oa_version":"Submitted Version","quality_controlled":"1","user_id":"4435EBFC-F248-11E8-B48F-1D18A9856A87","author":[{"last_name":"Bauer","first_name":"Ulrich","id":"2ADD483A-F248-11E8-B48F-1D18A9856A87","full_name":"Bauer, Ulrich","orcid":"0000-0002-9683-0724"},{"last_name":"Lesnick","first_name":"Michael","full_name":"Lesnick, Michael"}],"citation":{"mla":"Bauer, Ulrich, and Michael Lesnick. “Induced Matchings of Barcodes and the Algebraic Stability of Persistence.” <i>Proceedings of the Annual Symposium on Computational Geometry</i>, ACM, 2014, pp. 355–64, doi:<a href=\"https://doi.org/10.1145/2582112.2582168\">10.1145/2582112.2582168</a>.","apa":"Bauer, U., &#38; Lesnick, M. (2014). Induced matchings of barcodes and the algebraic stability of persistence. In <i>Proceedings of the Annual Symposium on Computational Geometry</i> (pp. 355–364). Kyoto, Japan: ACM. <a href=\"https://doi.org/10.1145/2582112.2582168\">https://doi.org/10.1145/2582112.2582168</a>","ieee":"U. Bauer and M. Lesnick, “Induced matchings of barcodes and the algebraic stability of persistence,” in <i>Proceedings of the Annual Symposium on Computational Geometry</i>, Kyoto, Japan, 2014, pp. 355–364.","ama":"Bauer U, Lesnick M. Induced matchings of barcodes and the algebraic stability of persistence. In: <i>Proceedings of the Annual Symposium on Computational Geometry</i>. ACM; 2014:355-364. doi:<a href=\"https://doi.org/10.1145/2582112.2582168\">10.1145/2582112.2582168</a>","chicago":"Bauer, Ulrich, and Michael Lesnick. “Induced Matchings of Barcodes and the Algebraic Stability of Persistence.” In <i>Proceedings of the Annual Symposium on Computational Geometry</i>, 355–64. ACM, 2014. <a href=\"https://doi.org/10.1145/2582112.2582168\">https://doi.org/10.1145/2582112.2582168</a>.","short":"U. Bauer, M. Lesnick, in:, Proceedings of the Annual Symposium on Computational Geometry, ACM, 2014, pp. 355–364.","ista":"Bauer U, Lesnick M. 2014. Induced matchings of barcodes and the algebraic stability of persistence. Proceedings of the Annual Symposium on Computational Geometry. SoCG: Symposium on Computational Geometry, 355–364."},"main_file_link":[{"url":"http://arxiv.org/abs/1311.3681","open_access":"1"}],"status":"public","date_created":"2018-12-11T11:56:01Z","month":"06","conference":{"end_date":"2014-06-11","name":"SoCG: Symposium on Computational Geometry","location":"Kyoto, Japan","start_date":"2014-06-08"},"publist_id":"4853","scopus_import":1,"publisher":"ACM","page":"355 - 364","date_published":"2014-06-01T00:00:00Z"},{"publisher":"Springer","volume":52,"issue":"1","month":"07","date_created":"2018-12-11T11:56:01Z","status":"public","intvolume":"        52","publist_id":"4852","year":"2014","main_file_link":[{"url":"http://arxiv.org/abs/1102.3515","open_access":"1"}],"citation":{"ama":"Matoušek J, Wagner U. On Gromov’s method of selecting heavily covered points. <i>Discrete &#38; Computational Geometry</i>. 2014;52(1):1-33. doi:<a href=\"https://doi.org/10.1007/s00454-014-9584-7\">10.1007/s00454-014-9584-7</a>","ieee":"J. Matoušek and U. Wagner, “On Gromov’s method of selecting heavily covered points,” <i>Discrete &#38; Computational Geometry</i>, vol. 52, no. 1. Springer, pp. 1–33, 2014.","short":"J. Matoušek, U. Wagner, Discrete &#38; Computational Geometry 52 (2014) 1–33.","chicago":"Matoušek, Jiří, and Uli Wagner. “On Gromov’s Method of Selecting Heavily Covered Points.” <i>Discrete &#38; Computational Geometry</i>. Springer, 2014. <a href=\"https://doi.org/10.1007/s00454-014-9584-7\">https://doi.org/10.1007/s00454-014-9584-7</a>.","ista":"Matoušek J, Wagner U. 2014. On Gromov’s method of selecting heavily covered points. Discrete &#38; Computational Geometry. 52(1), 1–33.","mla":"Matoušek, Jiří, and Uli Wagner. “On Gromov’s Method of Selecting Heavily Covered Points.” <i>Discrete &#38; Computational Geometry</i>, vol. 52, no. 1, Springer, 2014, pp. 1–33, doi:<a href=\"https://doi.org/10.1007/s00454-014-9584-7\">10.1007/s00454-014-9584-7</a>.","apa":"Matoušek, J., &#38; Wagner, U. (2014). On Gromov’s method of selecting heavily covered points. <i>Discrete &#38; Computational Geometry</i>. Springer. <a href=\"https://doi.org/10.1007/s00454-014-9584-7\">https://doi.org/10.1007/s00454-014-9584-7</a>"},"quality_controlled":"1","author":[{"full_name":"Matoušek, Jiří","first_name":"Jiří","last_name":"Matoušek"},{"first_name":"Uli","last_name":"Wagner","orcid":"0000-0002-1494-0568","full_name":"Wagner, Uli","id":"36690CA2-F248-11E8-B48F-1D18A9856A87"}],"project":[{"grant_number":"PP00P2_138948","name":"Embeddings in Higher Dimensions: Algorithms and Combinatorics","_id":"25FA3206-B435-11E9-9278-68D0E5697425"}],"abstract":[{"lang":"eng","text":"A result of Boros and Füredi (d = 2) and of Bárány (arbitrary d) asserts that for every d there exists cd &gt; 0 such that for every n-point set P ⊂ ℝd, some point of ℝd is covered by at least (Formula presented.) of the d-simplices spanned by the points of P. The largest possible value of cd has been the subject of ongoing research. Recently Gromov improved the existing lower bounds considerably by introducing a new, topological proof method. We provide an exposition of the combinatorial component of Gromov's approach, in terms accessible to combinatorialists and discrete geometers, and we investigate the limits of his method. In particular, we give tighter bounds on the cofilling profiles for the (n - 1)-simplex. These bounds yield a minor improvement over Gromov's lower bounds on cd for large d, but they also show that the room for further improvement through the cofilling profiles alone is quite small. We also prove a slightly better lower bound for c3 by an approach using an additional structure besides the cofilling profiles. We formulate a combinatorial extremal problem whose solution might perhaps lead to a tight lower bound for cd."}],"publication_status":"published","publication":"Discrete & Computational Geometry","title":"On Gromov's method of selecting heavily covered points","_id":"2154","oa":1,"date_published":"2014-07-01T00:00:00Z","page":"1 - 33","scopus_import":1,"oa_version":"Submitted Version","date_updated":"2021-01-12T06:55:38Z","type":"journal_article","day":"01","user_id":"4435EBFC-F248-11E8-B48F-1D18A9856A87","acknowledgement":"Swiss National Science Foundation (SNF 200021-125309, 200020-138230, 200020-12507)","department":[{"_id":"UlWa"}],"doi":"10.1007/s00454-014-9584-7","language":[{"iso":"eng"}]},{"ec_funded":1,"department":[{"_id":"HeEd"}],"language":[{"iso":"eng"}],"doi":"10.1145/2582112.2582167","acknowledgement":"This research is partially supported by ESF under the ACAT Research Network Programme, and by the Russian Government under mega project 11.G34.31.0053","user_id":"4435EBFC-F248-11E8-B48F-1D18A9856A87","oa_version":"Submitted Version","type":"conference","date_updated":"2021-01-12T06:55:38Z","day":"01","scopus_import":1,"date_published":"2014-06-01T00:00:00Z","page":"484 - 490","publication":"Proceedings of the Annual Symposium on Computational Geometry","title":"The morse theory of Čech and Delaunay filtrations","_id":"2155","oa":1,"project":[{"name":"Topological Complex Systems","grant_number":"318493","_id":"255D761E-B435-11E9-9278-68D0E5697425","call_identifier":"FP7"}],"abstract":[{"text":"Given a finite set of points in Rn and a positive radius, we study the Čech, Delaunay-Čech, alpha, and wrap complexes as instances of a generalized discrete Morse theory. We prove that the latter three complexes are simple-homotopy equivalent. Our results have applications in topological data analysis and in the reconstruction of shapes from sampled data. Copyright is held by the owner/author(s).","lang":"eng"}],"publication_status":"published","citation":{"ieee":"U. Bauer and H. Edelsbrunner, “The morse theory of Čech and Delaunay filtrations,” in <i>Proceedings of the Annual Symposium on Computational Geometry</i>, Kyoto, Japan, 2014, pp. 484–490.","ama":"Bauer U, Edelsbrunner H. The morse theory of Čech and Delaunay filtrations. In: <i>Proceedings of the Annual Symposium on Computational Geometry</i>. ACM; 2014:484-490. doi:<a href=\"https://doi.org/10.1145/2582112.2582167\">10.1145/2582112.2582167</a>","ista":"Bauer U, Edelsbrunner H. 2014. The morse theory of Čech and Delaunay filtrations. Proceedings of the Annual Symposium on Computational Geometry. SoCG: Symposium on Computational Geometry, 484–490.","short":"U. Bauer, H. Edelsbrunner, in:, Proceedings of the Annual Symposium on Computational Geometry, ACM, 2014, pp. 484–490.","chicago":"Bauer, Ulrich, and Herbert Edelsbrunner. “The Morse Theory of Čech and Delaunay Filtrations.” In <i>Proceedings of the Annual Symposium on Computational Geometry</i>, 484–90. ACM, 2014. <a href=\"https://doi.org/10.1145/2582112.2582167\">https://doi.org/10.1145/2582112.2582167</a>.","mla":"Bauer, Ulrich, and Herbert Edelsbrunner. “The Morse Theory of Čech and Delaunay Filtrations.” <i>Proceedings of the Annual Symposium on Computational Geometry</i>, ACM, 2014, pp. 484–90, doi:<a href=\"https://doi.org/10.1145/2582112.2582167\">10.1145/2582112.2582167</a>.","apa":"Bauer, U., &#38; Edelsbrunner, H. (2014). The morse theory of Čech and Delaunay filtrations. In <i>Proceedings of the Annual Symposium on Computational Geometry</i> (pp. 484–490). Kyoto, Japan: ACM. <a href=\"https://doi.org/10.1145/2582112.2582167\">https://doi.org/10.1145/2582112.2582167</a>"},"main_file_link":[{"url":"http://arxiv.org/abs/1312.1231","open_access":"1"}],"quality_controlled":"1","author":[{"last_name":"Bauer","first_name":"Ulrich","full_name":"Bauer, Ulrich","orcid":"0000-0002-9683-0724","id":"2ADD483A-F248-11E8-B48F-1D18A9856A87"},{"id":"3FB178DA-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-9823-6833","full_name":"Edelsbrunner, Herbert","first_name":"Herbert","last_name":"Edelsbrunner"}],"year":"2014","publist_id":"4851","conference":{"start_date":"2014-06-08","location":"Kyoto, Japan","name":"SoCG: Symposium on Computational Geometry","end_date":"2014-06-11"},"month":"06","date_created":"2018-12-11T11:56:01Z","status":"public","publisher":"ACM"},{"day":"01","oa_version":"Submitted Version","type":"conference","date_updated":"2021-01-12T06:55:39Z","user_id":"4435EBFC-F248-11E8-B48F-1D18A9856A87","acknowledgement":"National Science Foundation under grants CCF-1319406, CCF-1116258.","department":[{"_id":"HeEd"}],"language":[{"iso":"eng"}],"doi":"10.1145/2582112.2582169","ec_funded":1,"page":"464 - 473","date_published":"2014-06-01T00:00:00Z","scopus_import":1,"year":"2014","author":[{"last_name":"Bauer","first_name":"Ulrich","id":"2ADD483A-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-9683-0724","full_name":"Bauer, Ulrich"},{"full_name":"Ge, Xiaoyin","last_name":"Ge","first_name":"Xiaoyin"},{"last_name":"Wang","first_name":"Yusu","full_name":"Wang, Yusu"}],"quality_controlled":"1","citation":{"mla":"Bauer, Ulrich, et al. “Measuring Distance between Reeb Graphs.” <i>Proceedings of the Annual Symposium on Computational Geometry</i>, ACM, 2014, pp. 464–73, doi:<a href=\"https://doi.org/10.1145/2582112.2582169\">10.1145/2582112.2582169</a>.","apa":"Bauer, U., Ge, X., &#38; Wang, Y. (2014). Measuring distance between Reeb graphs. In <i>Proceedings of the Annual Symposium on Computational Geometry</i> (pp. 464–473). Kyoto, Japan: ACM. <a href=\"https://doi.org/10.1145/2582112.2582169\">https://doi.org/10.1145/2582112.2582169</a>","ista":"Bauer U, Ge X, Wang Y. 2014. Measuring distance between Reeb graphs. Proceedings of the Annual Symposium on Computational Geometry. SoCG: Symposium on Computational Geometry, 464–473.","short":"U. Bauer, X. Ge, Y. Wang, in:, Proceedings of the Annual Symposium on Computational Geometry, ACM, 2014, pp. 464–473.","chicago":"Bauer, Ulrich, Xiaoyin Ge, and Yusu Wang. “Measuring Distance between Reeb Graphs.” In <i>Proceedings of the Annual Symposium on Computational Geometry</i>, 464–73. ACM, 2014. <a href=\"https://doi.org/10.1145/2582112.2582169\">https://doi.org/10.1145/2582112.2582169</a>.","ama":"Bauer U, Ge X, Wang Y. Measuring distance between Reeb graphs. In: <i>Proceedings of the Annual Symposium on Computational Geometry</i>. ACM; 2014:464-473. doi:<a href=\"https://doi.org/10.1145/2582112.2582169\">10.1145/2582112.2582169</a>","ieee":"U. Bauer, X. Ge, and Y. Wang, “Measuring distance between Reeb graphs,” in <i>Proceedings of the Annual Symposium on Computational Geometry</i>, Kyoto, Japan, 2014, pp. 464–473."},"main_file_link":[{"open_access":"1","url":"http://arxiv.org/abs/1307.2839"}],"abstract":[{"lang":"eng","text":"We propose a metric for Reeb graphs, called the functional distortion distance. Under this distance, the Reeb graph is stable against small changes of input functions. At the same time, it remains discriminative at differentiating input functions. In particular, the main result is that the functional distortion distance between two Reeb graphs is bounded from below by the bottleneck distance between both the ordinary and extended persistence diagrams for appropriate dimensions. As an application of our results, we analyze a natural simplification scheme for Reeb graphs, and show that persistent features in Reeb graph remains persistent under simplification. Understanding the stability of important features of the Reeb graph under simplification is an interesting problem on its own right, and critical to the practical usage of Reeb graphs. Copyright is held by the owner/author(s)."}],"publication_status":"published","project":[{"name":"Topological Complex Systems","grant_number":"318493","call_identifier":"FP7","_id":"255D761E-B435-11E9-9278-68D0E5697425"}],"_id":"2156","oa":1,"publication":"Proceedings of the Annual Symposium on Computational Geometry","title":"Measuring distance between Reeb graphs","publisher":"ACM","status":"public","month":"06","conference":{"end_date":"2014-06-11","name":"SoCG: Symposium on Computational Geometry","start_date":"2014-06-08","location":"Kyoto, Japan"},"date_created":"2018-12-11T11:56:02Z","publist_id":"4850"}]
