{"id":"https://openalex.org/W2047825085","doi":"https://doi.org/10.1137/s0895480199351136","title":"Finding 1-Factors in Bipartite Regular Graphs and Edge-Coloring Bipartite Graphs","display_name":"Finding 1-Factors in Bipartite Regular Graphs and Edge-Coloring Bipartite Graphs","publication_year":2002,"publication_date":"2002-01-01","ids":{"openalex":"https://openalex.org/W2047825085","doi":"https://doi.org/10.1137/s0895480199351136","mag":"2047825085"},"language":"en","primary_location":{"id":"doi:10.1137/s0895480199351136","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0895480199351136","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":true,"oa_status":"green","oa_url":"https://hdl.handle.net/11572/358459","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5061874157","display_name":"Rom\u00e9o Rizzi","orcid":"https://orcid.org/0000-0002-2387-0952"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Romeo Rizzi","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5061874157"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.5556,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.82223437,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"15","issue":"3","first_page":"283","last_page":"288"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9994999766349792,"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":0.9994999766349792,"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/T11797","display_name":"graph theory and CDMA systems","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9976000189781189,"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":0.8792577981948853},{"id":"https://openalex.org/keywords/bipartite-graph","display_name":"Bipartite graph","score":0.8636455535888672},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7852968573570251},{"id":"https://openalex.org/keywords/complete-bipartite-graph","display_name":"Complete bipartite graph","score":0.6016653180122375},{"id":"https://openalex.org/keywords/edge-coloring","display_name":"Edge coloring","score":0.49472877383232117},{"id":"https://openalex.org/keywords/binary-logarithm","display_name":"Binary logarithm","score":0.48822835087776184},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.47066840529441833},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.40855973958969116},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.23852577805519104},{"id":"https://openalex.org/keywords/graph-power","display_name":"Graph power","score":0.17484408617019653}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8792577981948853},{"id":"https://openalex.org/C197657726","wikidata":"https://www.wikidata.org/wiki/Q174733","display_name":"Bipartite graph","level":3,"score":0.8636455535888672},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7852968573570251},{"id":"https://openalex.org/C134119311","wikidata":"https://www.wikidata.org/wiki/Q913598","display_name":"Complete bipartite graph","level":4,"score":0.6016653180122375},{"id":"https://openalex.org/C123809776","wikidata":"https://www.wikidata.org/wiki/Q1050972","display_name":"Edge coloring","level":5,"score":0.49472877383232117},{"id":"https://openalex.org/C63553672","wikidata":"https://www.wikidata.org/wiki/Q581168","display_name":"Binary logarithm","level":2,"score":0.48822835087776184},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.47066840529441833},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.40855973958969116},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.23852577805519104},{"id":"https://openalex.org/C149530733","wikidata":"https://www.wikidata.org/wiki/Q5597091","display_name":"Graph power","level":4,"score":0.17484408617019653}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1137/s0895480199351136","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0895480199351136","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"},{"id":"pmh:oai:eprints.biblio.unitn.it:118","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4306400311","display_name":"Unitn Eprints Research (Universit\u00e0 Degli Studi di Trento)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I193223587","host_organization_name":"University of Trento","host_organization_lineage":["https://openalex.org/I193223587"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"Departmental Technical Report"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.125.9855","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.125.9855","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.dimi.uniud.it/~rrizzi/papers/ps/factor.ps","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.88.8201","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.88.8201","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://140.112.28.144/ATALab/Research Activities Description/Theory/Seminar/2002 seminar data/Finding 1-factors in Bipartite Regular Graphs and Edge-Coloring Bipartite Graphs.pdf","raw_type":"text"},{"id":"pmh:oai:iris.unitn.it:11572/26318","is_oa":false,"landing_page_url":"http://hdl.handle.net/11572/26318","pdf_url":null,"source":{"id":"https://openalex.org/S4377196320","display_name":"Iris (University of Trento)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I193223587","host_organization_name":"University of Trento","host_organization_lineage":["https://openalex.org/I193223587"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:iris.unitn.it:11572/358459","is_oa":true,"landing_page_url":"https://hdl.handle.net/11572/358459","pdf_url":null,"source":{"id":"https://openalex.org/S4306401913","display_name":"Institutional Research Information System (Universit\u00e0 degli Studi di Trento)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I193223587","host_organization_name":"University of Trento","host_organization_lineage":["https://openalex.org/I193223587"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/other"}],"best_oa_location":{"id":"pmh:oai:iris.unitn.it:11572/358459","is_oa":true,"landing_page_url":"https://hdl.handle.net/11572/358459","pdf_url":null,"source":{"id":"https://openalex.org/S4306401913","display_name":"Institutional Research Information System (Universit\u00e0 degli Studi di Trento)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I193223587","host_organization_name":"University of Trento","host_organization_lineage":["https://openalex.org/I193223587"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/other"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":6,"referenced_works":["https://openalex.org/W1966190788","https://openalex.org/W2016715486","https://openalex.org/W2036575499","https://openalex.org/W2120729889","https://openalex.org/W2124624165","https://openalex.org/W2170198451"],"related_works":["https://openalex.org/W2091826982","https://openalex.org/W245205139","https://openalex.org/W2036057584","https://openalex.org/W4246000090","https://openalex.org/W2107875203","https://openalex.org/W4234658180","https://openalex.org/W4235849992","https://openalex.org/W2910933086","https://openalex.org/W3143578817","https://openalex.org/W4288630335"],"abstract_inverted_index":{"This":[0,40],"paper":[1],"gives":[2],"a":[3,10,13,56],"new":[4],"and":[5,63],"faster":[6],"algorithm":[7,22,53],"to":[8,54],"find":[9],"1-factor":[11],"in":[12],"bipartite":[14,57],"$\\Delta$-regular":[15],"graph.":[16],"The":[17],"time":[18],"complexity":[19],"of":[20,38],"this":[21],"is":[23,35],"${\\cal":[24,43],"O}(n":[25,44],"\\Delta":[26,48],"+":[27,49],"n":[28,30,34,46,60],"\\log":[29,31,45,47,51],"\\Delta)$,":[32],"where":[33],"the":[36],"number":[37],"nodes.":[39],"implies":[41],"an":[42],"m":[50],"\\Delta)$":[52],"edge-color":[55],"graph":[58],"with":[59],"nodes,m":[61],"edges,":[62],"maximum":[64],"degree":[65],"$\\Delta$.":[66]},"counts_by_year":[{"year":2013,"cited_by_count":1}],"updated_date":"2026-07-25T15:57:00.446498","created_date":"2025-10-10T00:00:00"}
