{"id":"https://openalex.org/W2147508044","doi":"https://doi.org/10.1145/1824777.1824781","title":"Finding one tight cycle","display_name":"Finding one tight cycle","publication_year":2010,"publication_date":"2010-08-01","ids":{"openalex":"https://openalex.org/W2147508044","doi":"https://doi.org/10.1145/1824777.1824781","mag":"2147508044"},"language":"en","primary_location":{"id":"doi:10.1145/1824777.1824781","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1824777.1824781","pdf_url":null,"source":{"id":"https://openalex.org/S137348503","display_name":"ACM Transactions on Algorithms","issn_l":"1549-6325","issn":["1549-6325","1549-6333"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Algorithms","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/A5034923438","display_name":"Sergio Cabello","orcid":"https://orcid.org/0000-0002-3183-4126"},"institutions":[{"id":"https://openalex.org/I153976015","display_name":"University of Ljubljana","ror":"https://ror.org/05njb9z20","country_code":"SI","type":"education","lineage":["https://openalex.org/I153976015"]}],"countries":["SI"],"is_corresponding":true,"raw_author_name":"Sergio Cabello","raw_affiliation_strings":["University of Ljubljana, Slovenia and IMFM"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Ljubljana, Slovenia and IMFM","institution_ids":["https://openalex.org/I153976015"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5007183588","display_name":"Matt DeVos","orcid":null},"institutions":[{"id":"https://openalex.org/I18014758","display_name":"Simon Fraser University","ror":"https://ror.org/0213rcc28","country_code":"CA","type":"education","lineage":["https://openalex.org/I18014758"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Matt Devos","raw_affiliation_strings":["Simon Fraser University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Simon Fraser University","institution_ids":["https://openalex.org/I18014758"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5042187195","display_name":"Jeff Erickson","orcid":"https://orcid.org/0000-0002-5253-2282"},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jeff Erickson","raw_affiliation_strings":["University of Illinois at Urbana-Champaign"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Illinois at Urbana-Champaign","institution_ids":["https://openalex.org/I157725225"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5005993212","display_name":"Bojan Mohar","orcid":"https://orcid.org/0000-0002-7408-6148"},"institutions":[{"id":"https://openalex.org/I18014758","display_name":"Simon Fraser University","ror":"https://ror.org/0213rcc28","country_code":"CA","type":"education","lineage":["https://openalex.org/I18014758"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Bojan Mohar","raw_affiliation_strings":["Simon Fraser University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Simon Fraser University","institution_ids":["https://openalex.org/I18014758"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5034923438"],"corresponding_institution_ids":["https://openalex.org/I153976015"],"apc_list":null,"apc_paid":null,"fwci":9.373,"has_fulltext":false,"cited_by_count":17,"citation_normalized_percentile":{"value":0.97299877,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"6","issue":"4","first_page":"1","last_page":"13"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9988999962806702,"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"}},"topics":[{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9988999962806702,"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":0.9857000112533569,"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/T11574","display_name":"Artificial Intelligence in Games","score":0.9853000044822693,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/combinatorics","display_name":"Combinatorics","score":0.7915019392967224},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7459920644760132},{"id":"https://openalex.org/keywords/contractible-space","display_name":"Contractible space","score":0.6768568754196167},{"id":"https://openalex.org/keywords/homotopy","display_name":"Homotopy","score":0.5618278980255127},{"id":"https://openalex.org/keywords/genus","display_name":"Genus","score":0.5156942009925842},{"id":"https://openalex.org/keywords/surface","display_name":"Surface (topology)","score":0.5127547979354858},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.4902356266975403},{"id":"https://openalex.org/keywords/binary-logarithm","display_name":"Binary logarithm","score":0.48906025290489197},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.4791497588157654},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.4579857587814331},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4113219380378723},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3557993769645691},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.13576605916023254},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.12061119079589844},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1050519049167633},{"id":"https://openalex.org/keywords/botany","display_name":"Botany","score":0.07311740517616272},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.06719464063644409}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7915019392967224},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7459920644760132},{"id":"https://openalex.org/C169611556","wikidata":"https://www.wikidata.org/wiki/Q230689","display_name":"Contractible space","level":2,"score":0.6768568754196167},{"id":"https://openalex.org/C5961521","wikidata":"https://www.wikidata.org/wiki/Q746083","display_name":"Homotopy","level":2,"score":0.5618278980255127},{"id":"https://openalex.org/C157369684","wikidata":"https://www.wikidata.org/wiki/Q34740","display_name":"Genus","level":2,"score":0.5156942009925842},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.5127547979354858},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.4902356266975403},{"id":"https://openalex.org/C63553672","wikidata":"https://www.wikidata.org/wiki/Q581168","display_name":"Binary logarithm","level":2,"score":0.48906025290489197},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.4791497588157654},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.4579857587814331},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4113219380378723},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3557993769645691},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.13576605916023254},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.12061119079589844},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1050519049167633},{"id":"https://openalex.org/C59822182","wikidata":"https://www.wikidata.org/wiki/Q441","display_name":"Botany","level":1,"score":0.07311740517616272},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.06719464063644409},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/1824777.1824781","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1824777.1824781","pdf_url":null,"source":{"id":"https://openalex.org/S137348503","display_name":"ACM Transactions on Algorithms","issn_l":"1549-6325","issn":["1549-6325","1549-6333"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Algorithms","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G6535479225","display_name":null,"funder_award_id":"J1-7218P1-0297","funder_id":"https://openalex.org/F4320322554","funder_display_name":"Javna Agencija za Raziskovalno Dejavnost RS"}],"funders":[{"id":"https://openalex.org/F4320322554","display_name":"Javna Agencija za Raziskovalno Dejavnost RS","ror":"https://ror.org/059bp8k51"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W594463866","https://openalex.org/W1522210445","https://openalex.org/W1546631459","https://openalex.org/W1591127925","https://openalex.org/W1967066104","https://openalex.org/W1973952022","https://openalex.org/W1974358136","https://openalex.org/W2006152944","https://openalex.org/W2026605623","https://openalex.org/W2030509174","https://openalex.org/W2041603746","https://openalex.org/W2047577363","https://openalex.org/W2078498425","https://openalex.org/W2083049364","https://openalex.org/W2093766264","https://openalex.org/W2111180847","https://openalex.org/W2120424341","https://openalex.org/W2569270235","https://openalex.org/W2621124976","https://openalex.org/W3040586665","https://openalex.org/W4292083669","https://openalex.org/W4319589071","https://openalex.org/W7026758661"],"related_works":["https://openalex.org/W4297937146","https://openalex.org/W2952255653","https://openalex.org/W4298392833","https://openalex.org/W2514151061","https://openalex.org/W3178841903","https://openalex.org/W2125346401","https://openalex.org/W2921176248","https://openalex.org/W3204219582","https://openalex.org/W3163552377","https://openalex.org/W4297783396"],"abstract_inverted_index":{"A":[0],"cycle":[1,31,63,93,100,125],"on":[2,32],"a":[3,25,33,86,97,109,122,127],"combinatorial":[4,36],"surface":[5,37],"is":[6,79],"tight":[7,110],"if":[8],"it":[9],"as":[10,12],"short":[11],"possible":[13],"in":[14,38,64,101,113,132],"its":[15],"(free)":[16],"homotopy":[17],"class.":[18],"We":[19],"describe":[20],"an":[21],"algorithm":[22],"to":[23,55,96],"compute":[24,56,90],"single":[26],"tight,":[27],"noncontractible,":[28],"essentially":[29],"simple":[30],"given":[34],"orientable":[35],"O":[39,65,102,114,133],"(":[40,103,115,134],"n":[41,43,70,72,74,104,106,118,135,138],"log":[42,73,105,117,136],")":[44,75,107,119,139],"time.":[45,140],"The":[46],"only":[47],"method":[48],"previously":[49],"known":[50],"for":[51],"this":[52],"problem":[53],"was":[54],"the":[57,80,83,91],"globally":[58],"shortest":[59,92,123],"noncontractible":[60],"or":[61],"nonseparating":[62],"(min{":[66],"g":[67,78],"3":[68],",":[69],"},":[71],"time,":[76,108,120],"where":[77],"genus":[81],"of":[82,130],"surface.":[84],"As":[85],"consequence,":[87],"we":[88],"can":[89],"freely":[94],"homotopic":[95],"chosen":[98],"boundary":[99],"octagonal":[111],"decomposition":[112],"gn":[116],"and":[121],"contractible":[124],"enclosing":[126],"nonempty":[128],"set":[129],"faces":[131],"2":[137]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
