{"year":"2020","file_date_updated":"2020-07-14T12:48:06Z","department":[{"_id":"UlWa"}],"quality_controlled":"1","abstract":[{"lang":"eng","text":"In the recent study of crossing numbers, drawings of graphs that can be extended to an arrangement of pseudolines (pseudolinear drawings) have played an important role as they are a natural combinatorial extension of rectilinear (or straight-line) drawings. A characterization of the pseudolinear drawings of K_n was found recently. We extend this characterization to all graphs, by describing the set of minimal forbidden subdrawings for pseudolinear drawings. Our characterization also leads to a polynomial-time algorithm to recognize pseudolinear drawings and construct the pseudolines when it is possible."}],"oa":1,"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","volume":164,"tmp":{"image":"/images/cc_by.png","short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"date_updated":"2023-02-23T13:22:12Z","ec_funded":1,"project":[{"grant_number":"754411","_id":"260C2330-B435-11E9-9278-68D0E5697425","name":"ISTplus - Postdoctoral Fellowships","call_identifier":"H2020"}],"type":"conference","intvolume":"       164","title":"Extending drawings of graphs to arrangements of pseudolines","doi":"10.4230/LIPIcs.SoCG.2020.9","citation":{"chicago":"Arroyo Guevara, Alan M, Julien Bensmail, and R. Bruce Richter. “Extending Drawings of Graphs to Arrangements of Pseudolines.” In <i>36th International Symposium on Computational Geometry</i>, Vol. 164. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2020. <a href=\"https://doi.org/10.4230/LIPIcs.SoCG.2020.9\">https://doi.org/10.4230/LIPIcs.SoCG.2020.9</a>.","ista":"Arroyo Guevara AM, Bensmail J, Bruce Richter R. 2020. Extending drawings of graphs to arrangements of pseudolines. 36th International Symposium on Computational Geometry. SoCG: Symposium on Computational Geometry, LIPIcs, vol. 164, 9:1-9:14.","short":"A.M. Arroyo Guevara, J. Bensmail, R. Bruce Richter, in:, 36th International Symposium on Computational Geometry, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2020.","mla":"Arroyo Guevara, Alan M., et al. “Extending Drawings of Graphs to Arrangements of Pseudolines.” <i>36th International Symposium on Computational Geometry</i>, vol. 164, 9:1-9:14, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2020, doi:<a href=\"https://doi.org/10.4230/LIPIcs.SoCG.2020.9\">10.4230/LIPIcs.SoCG.2020.9</a>.","ama":"Arroyo Guevara AM, Bensmail J, Bruce Richter R. Extending drawings of graphs to arrangements of pseudolines. In: <i>36th International Symposium on Computational Geometry</i>. Vol 164. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2020. doi:<a href=\"https://doi.org/10.4230/LIPIcs.SoCG.2020.9\">10.4230/LIPIcs.SoCG.2020.9</a>","apa":"Arroyo Guevara, A. M., Bensmail, J., &#38; Bruce Richter, R. (2020). Extending drawings of graphs to arrangements of pseudolines. In <i>36th International Symposium on Computational Geometry</i> (Vol. 164). Zürich, Switzerland: Schloss Dagstuhl - Leibniz-Zentrum für Informatik. <a href=\"https://doi.org/10.4230/LIPIcs.SoCG.2020.9\">https://doi.org/10.4230/LIPIcs.SoCG.2020.9</a>","ieee":"A. M. Arroyo Guevara, J. Bensmail, and R. Bruce Richter, “Extending drawings of graphs to arrangements of pseudolines,” in <i>36th International Symposium on Computational Geometry</i>, Zürich, Switzerland, 2020, vol. 164."},"alternative_title":["LIPIcs"],"conference":{"end_date":"2020-06-26","location":"Zürich, Switzerland","name":"SoCG: Symposium on Computational Geometry","start_date":"2020-06-22"},"oa_version":"Published Version","publisher":"Schloss Dagstuhl - Leibniz-Zentrum für Informatik","file":[{"checksum":"93571b76cf97d5b7c8aabaeaa694dd7e","creator":"dernst","access_level":"open_access","content_type":"application/pdf","date_created":"2020-06-23T11:06:23Z","file_name":"2020_LIPIcsSoCG_Arroyo.pdf","date_updated":"2020-07-14T12:48:06Z","relation":"main_file","file_size":592661,"file_id":"8006"}],"author":[{"first_name":"Alan M","full_name":"Arroyo Guevara, Alan M","id":"3207FDC6-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0003-2401-8670","last_name":"Arroyo Guevara"},{"first_name":"Julien","full_name":"Bensmail, Julien","last_name":"Bensmail"},{"first_name":"R.","full_name":"Bruce Richter, R.","last_name":"Bruce Richter"}],"has_accepted_license":"1","date_published":"2020-06-01T00:00:00Z","article_processing_charge":"No","publication_status":"published","publication_identifier":{"isbn":["9783959771436"],"issn":["18688969"]},"article_number":"9:1 - 9:14","month":"06","ddc":["510"],"date_created":"2020-06-22T09:14:21Z","scopus_import":"1","publication":"36th International Symposium on Computational Geometry","_id":"7994","day":"01","status":"public","external_id":{"arxiv":["1804.09317"]},"language":[{"iso":"eng"}]}