{"date_created":"2024-01-28T23:01:43Z","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","oa":1,"oa_version":"Preprint","scopus_import":"1","publisher":"Springer Nature","status":"public","title":"Removing popular faces in curve arrangements","quality_controlled":"1","alternative_title":["LNCS"],"day":"06","type":"conference","date_updated":"2024-01-29T09:45:06Z","article_processing_charge":"No","month":"01","publication_status":"published","date_published":"2024-01-06T00:00:00Z","main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2202.12175","open_access":"1"}],"abstract":[{"text":"A face in a curve arrangement is called popular if it is bounded by the same curve multiple times. Motivated by the automatic generation of curved nonogram puzzles, we investigate possibilities to eliminate the popular faces in an arrangement by inserting a single additional curve. This turns out to be NP-hard; however, it becomes tractable when the number of popular faces is small: We present a probabilistic FPT-approach in the number of popular faces.","lang":"eng"}],"department":[{"_id":"UlWa"},{"_id":"HeEd"}],"volume":14466,"intvolume":" 14466","year":"2024","acknowledgement":"This work was initiated at the 16th European Research Week on Geometric Graphs in Strobl in 2019. A.W. is supported by the Austrian Science Fund (FWF): W1230. S.T. has been funded by the Vienna Science and Technology Fund (WWTF) [10.47379/ICT19035]. A preliminary version of this work has been presented at the 38th European Workshop on Computational Geometry (EuroCG 2022) in Perugia [9]. A full version of this paper, which includes appendices but is otherwise identical, is available as a technical report [10].","page":"18-33","doi":"10.1007/978-3-031-49275-4_2","publication":"31st International Symposium on Graph Drawing and Network Visualization","author":[{"first_name":"Phoebe","last_name":"De Nooijer","full_name":"De Nooijer, Phoebe"},{"last_name":"Terziadis","first_name":"Soeren","full_name":"Terziadis, Soeren"},{"full_name":"Weinberger, Alexandra","first_name":"Alexandra","last_name":"Weinberger"},{"full_name":"Masárová, Zuzana","id":"45CFE238-F248-11E8-B48F-1D18A9856A87","first_name":"Zuzana","last_name":"Masárová","orcid":"0000-0002-6660-1322"},{"first_name":"Tamara","last_name":"Mchedlidze","full_name":"Mchedlidze, Tamara"},{"first_name":"Maarten","last_name":"Löffler","full_name":"Löffler, Maarten"},{"full_name":"Rote, Günter","last_name":"Rote","first_name":"Günter"}],"publication_identifier":{"issn":["0302-9743"],"eissn":["1611-3349"],"isbn":["9783031492747"]},"external_id":{"arxiv":["2202.12175"]},"citation":{"mla":"De Nooijer, Phoebe, et al. “Removing Popular Faces in Curve Arrangements.” 31st International Symposium on Graph Drawing and Network Visualization, vol. 14466, Springer Nature, 2024, pp. 18–33, doi:10.1007/978-3-031-49275-4_2.","ieee":"P. De Nooijer et al., “Removing popular faces in curve arrangements,” in 31st International Symposium on Graph Drawing and Network Visualization, Isola delle Femmine, Palermo, Italy, 2024, vol. 14466, pp. 18–33.","apa":"De Nooijer, P., Terziadis, S., Weinberger, A., Masárová, Z., Mchedlidze, T., Löffler, M., & Rote, G. (2024). Removing popular faces in curve arrangements. In 31st International Symposium on Graph Drawing and Network Visualization (Vol. 14466, pp. 18–33). Isola delle Femmine, Palermo, Italy: Springer Nature. https://doi.org/10.1007/978-3-031-49275-4_2","chicago":"De Nooijer, Phoebe, Soeren Terziadis, Alexandra Weinberger, Zuzana Masárová, Tamara Mchedlidze, Maarten Löffler, and Günter Rote. “Removing Popular Faces in Curve Arrangements.” In 31st International Symposium on Graph Drawing and Network Visualization, 14466:18–33. Springer Nature, 2024. https://doi.org/10.1007/978-3-031-49275-4_2.","ista":"De Nooijer P, Terziadis S, Weinberger A, Masárová Z, Mchedlidze T, Löffler M, Rote G. 2024. Removing popular faces in curve arrangements. 31st International Symposium on Graph Drawing and Network Visualization. GD: Graph Drawing and Network Visualization, LNCS, vol. 14466, 18–33.","ama":"De Nooijer P, Terziadis S, Weinberger A, et al. Removing popular faces in curve arrangements. In: 31st International Symposium on Graph Drawing and Network Visualization. Vol 14466. Springer Nature; 2024:18-33. doi:10.1007/978-3-031-49275-4_2","short":"P. De Nooijer, S. Terziadis, A. Weinberger, Z. Masárová, T. Mchedlidze, M. Löffler, G. Rote, in:, 31st International Symposium on Graph Drawing and Network Visualization, Springer Nature, 2024, pp. 18–33."},"conference":{"location":"Isola delle Femmine, Palermo, Italy","end_date":"2023-09-22","name":"GD: Graph Drawing and Network Visualization","start_date":"2023-09-20"},"language":[{"iso":"eng"}],"_id":"14888"}