[{"author":[{"last_name":"Jelínek","full_name":"Jelínek, Vít","first_name":"Vít"},{"full_name":"Töpfer, Martin","first_name":"Martin","last_name":"Töpfer","id":"4B865388-F248-11E8-B48F-1D18A9856A87"}],"oa":1,"_id":"6759","date_published":"2019-07-19T00:00:00Z","language":[{"iso":"eng"}],"doi":"10.37236/8096","publisher":"Electronic Journal of Combinatorics","year":"2019","type":"journal_article","month":"07","quality_controlled":"1","publication_identifier":{"eissn":["10778926"]},"volume":26,"article_type":"original","date_created":"2019-08-04T21:59:20Z","article_number":"P3.17","department":[{"_id":"DaAl"}],"ddc":["510"],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","article_processing_charge":"No","file_date_updated":"2020-07-14T12:47:39Z","intvolume":"        26","publication_status":"published","oa_version":"Published Version","day":"19","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"ec_funded":1,"abstract":[{"text":"We consider the graph class Grounded-L corresponding to graphs that admit an intersection representation by L-shaped curves, where additionally the topmost points of each curve are assumed to belong to a common horizontal line. We prove that Grounded-L graphs admit an equivalent characterisation in terms of vertex ordering with forbidden patterns. \r\nWe also compare this class to related intersection classes, such as the grounded segment graphs, the monotone L-graphs (a.k.a. max point-tolerance graphs), or the outer-1-string graphs. We give constructions showing that these classes are all distinct and satisfy only trivial or previously known inclusions.","lang":"eng"}],"date_updated":"2022-03-18T12:32:02Z","status":"public","publication":"Electronic Journal of Combinatorics","external_id":{"arxiv":["1808.04148"]},"file":[{"creator":"dernst","relation":"main_file","content_type":"application/pdf","access_level":"open_access","file_size":533697,"file_name":"2019_eJourCombinatorics_Jelinek.pdf","date_updated":"2020-07-14T12:47:39Z","checksum":"20fc366fc6683ef0b074a019b73a663a","date_created":"2019-08-05T06:46:55Z","file_id":"6764"}],"title":"On grounded L-graphs and their relatives","project":[{"_id":"2564DBCA-B435-11E9-9278-68D0E5697425","name":"International IST Doctoral Program","call_identifier":"H2020","grant_number":"665385"}],"citation":{"ieee":"V. Jelínek and M. Töpfer, “On grounded L-graphs and their relatives,” <i>Electronic Journal of Combinatorics</i>, vol. 26, no. 3. Electronic Journal of Combinatorics, 2019.","chicago":"Jelínek, Vít, and Martin Töpfer. “On Grounded L-Graphs and Their Relatives.” <i>Electronic Journal of Combinatorics</i>. Electronic Journal of Combinatorics, 2019. <a href=\"https://doi.org/10.37236/8096\">https://doi.org/10.37236/8096</a>.","ama":"Jelínek V, Töpfer M. On grounded L-graphs and their relatives. <i>Electronic Journal of Combinatorics</i>. 2019;26(3). doi:<a href=\"https://doi.org/10.37236/8096\">10.37236/8096</a>","mla":"Jelínek, Vít, and Martin Töpfer. “On Grounded L-Graphs and Their Relatives.” <i>Electronic Journal of Combinatorics</i>, vol. 26, no. 3, P3.17, Electronic Journal of Combinatorics, 2019, doi:<a href=\"https://doi.org/10.37236/8096\">10.37236/8096</a>.","ista":"Jelínek V, Töpfer M. 2019. On grounded L-graphs and their relatives. Electronic Journal of Combinatorics. 26(3), P3.17.","short":"V. Jelínek, M. Töpfer, Electronic Journal of Combinatorics 26 (2019).","apa":"Jelínek, V., &#38; Töpfer, M. (2019). On grounded L-graphs and their relatives. <i>Electronic Journal of Combinatorics</i>. Electronic Journal of Combinatorics. <a href=\"https://doi.org/10.37236/8096\">https://doi.org/10.37236/8096</a>"},"arxiv":1,"issue":"3","scopus_import":"1","has_accepted_license":"1"}]