{"id":"https://openalex.org/W3163173685","doi":"https://doi.org/10.1137/20m1366551","title":"Number of Hamiltonian Cycles in Planar Triangulations","display_name":"Number of Hamiltonian Cycles in Planar Triangulations","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3163173685","doi":"https://doi.org/10.1137/20m1366551","mag":"3163173685"},"language":"en","primary_location":{"id":"doi:10.1137/20m1366551","is_oa":false,"landing_page_url":"https://doi.org/10.1137/20m1366551","pdf_url":null,"source":{"id":"https://openalex.org/S117679221","display_name":"SIAM Journal on Discrete Mathematics","issn_l":"0895-4801","issn":["0895-4801","1095-7146"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Discrete Mathematics","raw_type":"journal-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/A5100684379","display_name":"Xiaonan Liu","orcid":"https://orcid.org/0000-0002-6398-9683"},"institutions":[{"id":"https://openalex.org/I130701444","display_name":"Georgia Institute of Technology","ror":"https://ror.org/01zkghx44","country_code":"US","type":"education","lineage":["https://openalex.org/I130701444"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Xiaonan Liu","raw_affiliation_strings":["School of Mathematics Georgia Institute of Technology Atlanta, GA 30332"],"affiliations":[{"raw_affiliation_string":"School of Mathematics Georgia Institute of Technology Atlanta, GA 30332","institution_ids":["https://openalex.org/I130701444"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5070536551","display_name":"Xingxing Yu","orcid":"https://orcid.org/0000-0002-6370-3163"},"institutions":[{"id":"https://openalex.org/I130701444","display_name":"Georgia Institute of Technology","ror":"https://ror.org/01zkghx44","country_code":"US","type":"education","lineage":["https://openalex.org/I130701444"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Xingxing Yu","raw_affiliation_strings":["School of Mathematics Georgia Institute of Technology Atlanta, GA 30332"],"affiliations":[{"raw_affiliation_string":"School of Mathematics Georgia Institute of Technology Atlanta, GA 30332","institution_ids":["https://openalex.org/I130701444"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5100684379"],"corresponding_institution_ids":["https://openalex.org/I130701444"],"apc_list":null,"apc_paid":null,"fwci":0.4544,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.66976404,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"35","issue":"2","first_page":"1005","last_page":"1021"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9900000095367432,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9900000095367432,"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":0.9854000210762024,"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/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.9592000246047974,"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/hamiltonian-path","display_name":"Hamiltonian path","score":0.6874579191207886},{"id":"https://openalex.org/keywords/planar","display_name":"Planar","score":0.6492137908935547},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6258832812309265},{"id":"https://openalex.org/keywords/hamiltonian","display_name":"Hamiltonian (control theory)","score":0.6079109907150269},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5967576503753662},{"id":"https://openalex.org/keywords/triangulation","display_name":"Triangulation","score":0.5215458869934082},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.41435372829437256},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2575104534626007},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.24260005354881287},{"id":"https://openalex.org/keywords/computer-graphics","display_name":"Computer graphics (images)","score":0.15879836678504944},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.12085244059562683},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.07319936156272888}],"concepts":[{"id":"https://openalex.org/C86524685","wikidata":"https://www.wikidata.org/wiki/Q273037","display_name":"Hamiltonian path","level":3,"score":0.6874579191207886},{"id":"https://openalex.org/C134786449","wikidata":"https://www.wikidata.org/wiki/Q3391255","display_name":"Planar","level":2,"score":0.6492137908935547},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6258832812309265},{"id":"https://openalex.org/C130787639","wikidata":"https://www.wikidata.org/wiki/Q5645293","display_name":"Hamiltonian (control theory)","level":2,"score":0.6079109907150269},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5967576503753662},{"id":"https://openalex.org/C135981907","wikidata":"https://www.wikidata.org/wiki/Q188056","display_name":"Triangulation","level":2,"score":0.5215458869934082},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.41435372829437256},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2575104534626007},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.24260005354881287},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.15879836678504944},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.12085244059562683},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.07319936156272888}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/20m1366551","is_oa":false,"landing_page_url":"https://doi.org/10.1137/20m1366551","pdf_url":null,"source":{"id":"https://openalex.org/S117679221","display_name":"SIAM Journal on Discrete Mathematics","issn_l":"0895-4801","issn":["0895-4801","1095-7146"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Discrete Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.5600000023841858,"id":"https://metadata.un.org/sdg/4","display_name":"Quality Education"}],"awards":[{"id":"https://openalex.org/G1786451663","display_name":null,"funder_award_id":"DMS 1954134","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G8080807857","display_name":"Disjoint Paths in Graphs and Coloring","funder_award_id":"1954134","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G848032724","display_name":null,"funder_award_id":"Science","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W1517929766","https://openalex.org/W1988180925","https://openalex.org/W2050065904","https://openalex.org/W2078415120","https://openalex.org/W2619213069","https://openalex.org/W2944255845","https://openalex.org/W3083542809","https://openalex.org/W4230126032","https://openalex.org/W4232226632","https://openalex.org/W4237169760"],"related_works":["https://openalex.org/W768569191","https://openalex.org/W4206327962","https://openalex.org/W1535358919","https://openalex.org/W4241226487","https://openalex.org/W2010009304","https://openalex.org/W2370302780","https://openalex.org/W1998175889","https://openalex.org/W2039867343","https://openalex.org/W1996851061","https://openalex.org/W3174101689"],"abstract_inverted_index":{"Related":[0],"DatabasesWeb":[1],"of":[2],"Science":[3],"You":[4],"must":[5],"be":[6],"logged":[7],"in":[8],"with":[9],"an":[10],"active":[11],"subscription":[12],"to":[13],"view":[14],"this.Article":[15],"DataHistorySubmitted:":[16],"14":[17],"September":[18],"2020Accepted:":[19],"10":[20],"March":[21],"2021Published":[22],"online:":[23],"17":[24],"May":[25],"2021Keywordsplanar":[26],"triangulation,":[27],"Hamiltonian":[28],"cycle,":[29],"bridge,":[30],"Tutte":[31],"pathAMS":[32],"Subject":[33],"Headings05C10,":[34],"05C30,":[35],"05C38,":[36],"05C40,":[37],"05C45Publication":[38],"DataISSN":[39],"(print):":[40],"0895-4801ISSN":[41],"(online):":[42],"1095-7146Publisher:":[43],"Society":[44],"for":[45],"Industrial":[46],"and":[47],"Applied":[48],"MathematicsCODEN:":[49],"sjdmec":[50]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":2}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}