{"language":[{"iso":"eng"}],"year":"2016","day":"01","date_updated":"2023-02-23T12:23:20Z","intvolume":"        51","publist_id":"5832","conference":{"name":"SoCG: Symposium on Computational Geometry","location":"Medford, MA, USA","start_date":"2016-06-14","end_date":"2016-06-17"},"doi":"10.4230/LIPIcs.SoCG.2016.24","oa_version":"Published Version","page":"24.1 - 24.15","tmp":{"image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)"},"user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87","abstract":[{"text":"We investigate the complexity of finding an embedded non-orientable surface of Euler genus g in a triangulated 3-manifold. This problem occurs both as a natural question in low-dimensional topology, and as a first non-trivial instance of embeddability of complexes into 3-manifolds. We prove that the problem is NP-hard, thus adding to the relatively few hardness results that are currently known in 3-manifold topology. In addition, we show that the problem lies in NP when the Euler genus g is odd, and we give an explicit algorithm in this case.","lang":"eng"}],"publisher":"Schloss Dagstuhl- Leibniz-Zentrum fur Informatik GmbH, Dagstuhl Publishing","has_accepted_license":"1","oa":1,"_id":"1379","file":[{"file_id":"4930","date_created":"2018-12-12T10:12:12Z","relation":"main_file","file_size":574770,"date_updated":"2020-07-14T12:44:47Z","creator":"system","content_type":"application/pdf","checksum":"f04248a61c24297cfabd30c5f8e0deb9","access_level":"open_access","file_name":"IST-2016-622-v1+1_LIPIcs-SoCG-2016-24.pdf"}],"status":"public","volume":51,"publication_status":"published","quality_controlled":"1","pubrep_id":"622","department":[{"_id":"UlWa"}],"ddc":["510"],"alternative_title":["LIPIcs"],"type":"conference","date_published":"2016-06-01T00:00:00Z","title":"Finding non-orientable surfaces in 3-manifolds","scopus_import":1,"date_created":"2018-12-11T11:51:41Z","file_date_updated":"2020-07-14T12:44:47Z","related_material":{"record":[{"id":"534","status":"public","relation":"later_version"}]},"citation":{"ieee":"B. Burton, A. N. de Mesmay, and U. Wagner, “Finding non-orientable surfaces in 3-manifolds,” presented at the SoCG: Symposium on Computational Geometry, Medford, MA, USA, 2016, vol. 51, p. 24.1-24.15.","ista":"Burton B, de Mesmay AN, Wagner U. 2016. Finding non-orientable surfaces in 3-manifolds. SoCG: Symposium on Computational Geometry, LIPIcs, vol. 51, 24.1-24.15.","apa":"Burton, B., de Mesmay, A. N., &#38; Wagner, U. (2016). Finding non-orientable surfaces in 3-manifolds (Vol. 51, p. 24.1-24.15). Presented at the SoCG: Symposium on Computational Geometry, Medford, MA, USA: Schloss Dagstuhl- Leibniz-Zentrum fur Informatik GmbH, Dagstuhl Publishing. <a href=\"https://doi.org/10.4230/LIPIcs.SoCG.2016.24\">https://doi.org/10.4230/LIPIcs.SoCG.2016.24</a>","mla":"Burton, Benjamin, et al. <i>Finding Non-Orientable Surfaces in 3-Manifolds</i>. Vol. 51, Schloss Dagstuhl- Leibniz-Zentrum fur Informatik GmbH, Dagstuhl Publishing, 2016, p. 24.1-24.15, doi:<a href=\"https://doi.org/10.4230/LIPIcs.SoCG.2016.24\">10.4230/LIPIcs.SoCG.2016.24</a>.","chicago":"Burton, Benjamin, Arnaud N de Mesmay, and Uli Wagner. “Finding Non-Orientable Surfaces in 3-Manifolds,” 51:24.1-24.15. Schloss Dagstuhl- Leibniz-Zentrum fur Informatik GmbH, Dagstuhl Publishing, 2016. <a href=\"https://doi.org/10.4230/LIPIcs.SoCG.2016.24\">https://doi.org/10.4230/LIPIcs.SoCG.2016.24</a>.","ama":"Burton B, de Mesmay AN, Wagner U. Finding non-orientable surfaces in 3-manifolds. In: Vol 51. Schloss Dagstuhl- Leibniz-Zentrum fur Informatik GmbH, Dagstuhl Publishing; 2016:24.1-24.15. doi:<a href=\"https://doi.org/10.4230/LIPIcs.SoCG.2016.24\">10.4230/LIPIcs.SoCG.2016.24</a>","short":"B. Burton, A.N. de Mesmay, U. Wagner, in:, Schloss Dagstuhl- Leibniz-Zentrum fur Informatik GmbH, Dagstuhl Publishing, 2016, p. 24.1-24.15."},"author":[{"first_name":"Benjamin","last_name":"Burton","full_name":"Burton, Benjamin"},{"last_name":"De Mesmay","first_name":"Arnaud N","id":"3DB2F25C-F248-11E8-B48F-1D18A9856A87","full_name":"De Mesmay, Arnaud N"},{"full_name":"Wagner, Uli","orcid":"0000-0002-1494-0568","id":"36690CA2-F248-11E8-B48F-1D18A9856A87","first_name":"Uli","last_name":"Wagner"}],"month":"06"}