{"id":"https://openalex.org/W2009059734","doi":"https://doi.org/10.1145/2261250.2261271","title":"Testing graph isotopies on surfaces","display_name":"Testing graph isotopies on surfaces","publication_year":2012,"publication_date":"2012-06-17","ids":{"openalex":"https://openalex.org/W2009059734","doi":"https://doi.org/10.1145/2261250.2261271","mag":"2009059734"},"language":"en","primary_location":{"id":"doi:10.1145/2261250.2261271","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2261250.2261271","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the twenty-eighth annual symposium on Computational geometry","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5083890014","display_name":"Arnaud de Mesmay","orcid":"https://orcid.org/0000-0002-7301-3799"},"institutions":[{"id":"https://openalex.org/I4210162280","display_name":"Laboratoire de G\u00e9ologie de l\u2019\u00c9cole Normale Sup\u00e9rieure","ror":"https://ror.org/05vg9cw43","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I2746051580","https://openalex.org/I29607241","https://openalex.org/I4210148025","https://openalex.org/I4210162280"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Arnaud de Mesmay","raw_affiliation_strings":["\u00c9cole Normale Sup\u00e9rieure, Paris, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"\u00c9cole Normale Sup\u00e9rieure, Paris, France","institution_ids":["https://openalex.org/I4210162280"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5059014964","display_name":"\u00c9ric Colin de Verdi\u00e8re","orcid":null},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210162280","display_name":"Laboratoire de G\u00e9ologie de l\u2019\u00c9cole Normale Sup\u00e9rieure","ror":"https://ror.org/05vg9cw43","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I2746051580","https://openalex.org/I29607241","https://openalex.org/I4210148025","https://openalex.org/I4210162280"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"\u00c9ric Colin de Verdi\u00e8re","raw_affiliation_strings":["\u00c9cole Normale Sup\u00e9rieure, CNRS, Paris, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"\u00c9cole Normale Sup\u00e9rieure, CNRS, Paris, France","institution_ids":["https://openalex.org/I4210162280","https://openalex.org/I1294671590"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.09303928,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"141","last_page":"150"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9986000061035156,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9980000257492065,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.6175786256790161},{"id":"https://openalex.org/keywords/piecewise-linear-function","display_name":"Piecewise linear function","score":0.5214897394180298},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.4883801341056824},{"id":"https://openalex.org/keywords/finite-set","display_name":"Finite set","score":0.4461798667907715},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4335237741470337},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4211442172527313},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4194726049900055},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.41862452030181885},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.4179793894290924},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3888702392578125},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.326554536819458}],"concepts":[{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.6175786256790161},{"id":"https://openalex.org/C17095337","wikidata":"https://www.wikidata.org/wiki/Q2375229","display_name":"Piecewise linear function","level":2,"score":0.5214897394180298},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.4883801341056824},{"id":"https://openalex.org/C162392398","wikidata":"https://www.wikidata.org/wiki/Q272404","display_name":"Finite set","level":2,"score":0.4461798667907715},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4335237741470337},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4211442172527313},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4194726049900055},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.41862452030181885},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.4179793894290924},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3888702392578125},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.326554536819458},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/2261250.2261271","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2261250.2261271","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the twenty-eighth annual symposium on Computational geometry","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":40,"referenced_works":["https://openalex.org/W176288270","https://openalex.org/W372810815","https://openalex.org/W580052950","https://openalex.org/W1510432918","https://openalex.org/W1510717485","https://openalex.org/W1591127925","https://openalex.org/W1874694348","https://openalex.org/W1966711884","https://openalex.org/W1973952022","https://openalex.org/W1975550117","https://openalex.org/W1980551857","https://openalex.org/W2000504285","https://openalex.org/W2000638036","https://openalex.org/W2006729640","https://openalex.org/W2007853611","https://openalex.org/W2010081197","https://openalex.org/W2020225160","https://openalex.org/W2020547005","https://openalex.org/W2026368027","https://openalex.org/W2030509174","https://openalex.org/W2044472590","https://openalex.org/W2056203932","https://openalex.org/W2057266558","https://openalex.org/W2067217014","https://openalex.org/W2081587878","https://openalex.org/W2081751185","https://openalex.org/W2084631168","https://openalex.org/W2090095275","https://openalex.org/W2093766264","https://openalex.org/W2134090618","https://openalex.org/W2141665721","https://openalex.org/W2147921228","https://openalex.org/W2407677664","https://openalex.org/W2613942975","https://openalex.org/W3040586665","https://openalex.org/W4235840289","https://openalex.org/W4240028494","https://openalex.org/W4389615663","https://openalex.org/W6645468477","https://openalex.org/W6780011183"],"related_works":["https://openalex.org/W2385263368","https://openalex.org/W2133947431","https://openalex.org/W2490196280","https://openalex.org/W3182827720","https://openalex.org/W1596838019","https://openalex.org/W3208509670","https://openalex.org/W2109304297","https://openalex.org/W2100864966","https://openalex.org/W2083709218","https://openalex.org/W4323366562"],"abstract_inverted_index":{"We":[0,44],"investigate":[1],"the":[2,12,56,59,63,82,89,99,117,120],"following":[3],"problem:":[4],"Given":[5],"two":[6,53],"embeddings":[7,39,97],"G1":[8,24,41,66,92],"and":[9,25,42,85,93],"G2":[10,26,94],"of":[11,38,62,65,105,119],"same":[13],"abstract":[14],"graph":[15,72],"G":[16],"on":[17,75],"an":[18],"orientable":[19],"surface":[20],"S,":[21],"decide":[22],"whether":[23,32],"are":[27,95],"isotopic;":[28],"in":[29,52,81,98,110],"other":[30],"words,":[31],"there":[33],"exists":[34],"a":[35,70,102],"continuous":[36],"family":[37],"between":[40],"G2.":[43],"provide":[45],"efficient":[46],"algorithms":[47],"to":[48],"solve":[49],"this":[50],"problem":[51],"models.":[54],"In":[55,88],"first":[57],"model,":[58,91],"input":[60,83],"consists":[61],"arrangement":[64],"(resp.,":[67],"G2)":[68],"with":[69],"fixed":[71],"cellularly":[73],"embedded":[74],"S;":[76],"our":[77,107],"algorithm":[78,108],"is":[79,116],"linear":[80],"complexity,":[84],"thus,":[86],"optimal.":[87],"second":[90],"piecewise-linear":[96],"plane":[100],"minus":[101],"finite":[103],"set":[104],"points;":[106],"runs":[109],"O(n3/2log":[111],"n)":[112],"time,":[113],"where":[114],"n":[115],"complexity":[118],"input.":[121]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
