{"id":"https://openalex.org/W2103964344","doi":"https://doi.org/10.1002/jgt.21766","title":"The Set of Circular Flow Numbers of Regular Graphs","display_name":"The Set of Circular Flow Numbers of Regular Graphs","publication_year":2013,"publication_date":"2013-10-07","ids":{"openalex":"https://openalex.org/W2103964344","doi":"https://doi.org/10.1002/jgt.21766","mag":"2103964344"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.1002/jgt.21766","pdf_url":null,"source":{"id":"https://openalex.org/S193368155","display_name":"Journal of Graph Theory","issn_l":"0364-9024","issn":["0364-9024","1097-0118"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false},"type":"article","type_crossref":"journal-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/A5020865318","display_name":"Michael Schubert","orcid":"https://orcid.org/0000-0002-2341-712X"},"institutions":[{"id":"https://openalex.org/I206945453","display_name":"Paderborn University","ror":"https://ror.org/058kzsd48","country_code":"DE","type":"education","lineage":["https://openalex.org/I206945453"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Michael Schubert","raw_affiliation_strings":["PADERBORN INSTITUTE FOR ADVANCED STUDIES IN COMPUTER SCIENCE AND ENGINEERING; PADERBORN UNIVERSITY; PADERBORN GERMANY"],"affiliations":[{"raw_affiliation_string":"PADERBORN INSTITUTE FOR ADVANCED STUDIES IN COMPUTER SCIENCE AND ENGINEERING; PADERBORN UNIVERSITY; PADERBORN GERMANY","institution_ids":["https://openalex.org/I206945453"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5041562341","display_name":"Eckhard Steffen","orcid":"https://orcid.org/0000-0002-9808-7401"},"institutions":[{"id":"https://openalex.org/I206945453","display_name":"Paderborn University","ror":"https://ror.org/058kzsd48","country_code":"DE","type":"education","lineage":["https://openalex.org/I206945453"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Eckhard Steffen","raw_affiliation_strings":["PADERBORN INSTITUTE FOR ADVANCED STUDIES IN COMPUTER SCIENCE AND ENGINEERING; PADERBORN UNIVERSITY; PADERBORN GERMANY"],"affiliations":[{"raw_affiliation_string":"PADERBORN INSTITUTE FOR ADVANCED STUDIES IN COMPUTER SCIENCE AND ENGINEERING; PADERBORN UNIVERSITY; PADERBORN GERMANY","institution_ids":["https://openalex.org/I206945453"]}]}],"institution_assertions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":3760,"currency":"USD","value_usd":3760,"provenance":"doaj"},"apc_paid":null,"fwci":0.353,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.471744,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":72,"max":76},"biblio":{"volume":"76","issue":"4","first_page":"297","last_page":"308"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T11476","display_name":"Graph Spectra and Topological Indices","score":0.9998,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11476","display_name":"Graph Spectra and Topological Indices","score":0.9998,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10374","display_name":"Graph Theory and Algorithms","score":0.9996,"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/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.9995,"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/indifference-graph","display_name":"Indifference graph","score":0.60956204},{"id":"https://openalex.org/keywords/maximal-independent-set","display_name":"Maximal independent set","score":0.48970392},{"id":"https://openalex.org/keywords/graph-spectra","display_name":"Graph Spectra","score":0.452378}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8474761},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7242816},{"id":"https://openalex.org/C74133993","wikidata":"https://www.wikidata.org/wiki/Q3115472","display_name":"Indifference graph","level":3,"score":0.60956204},{"id":"https://openalex.org/C160446614","wikidata":"https://www.wikidata.org/wiki/Q1322892","display_name":"Chordal graph","level":3,"score":0.592396},{"id":"https://openalex.org/C18359143","wikidata":"https://www.wikidata.org/wiki/Q7888149","display_name":"Maximal independent set","level":5,"score":0.48970392},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4866477},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.45882085},{"id":"https://openalex.org/C43517604","wikidata":"https://www.wikidata.org/wiki/Q7144893","display_name":"Pathwidth","level":4,"score":0.43554372},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.42226872},{"id":"https://openalex.org/C102192266","wikidata":"https://www.wikidata.org/wiki/Q4545823","display_name":"1-planar graph","level":4,"score":0.40335456},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.23991966},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.12900731},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1188637}],"mesh":[],"locations_count":1,"locations":[{"is_oa":false,"landing_page_url":"https://doi.org/10.1002/jgt.21766","pdf_url":null,"source":{"id":"https://openalex.org/S193368155","display_name":"Journal of Graph Theory","issn_l":"0364-9024","issn":["0364-9024","1097-0118"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false}],"best_oa_location":null,"sustainable_development_goals":[],"grants":[],"datasets":[],"versions":[],"referenced_works_count":12,"referenced_works":["https://openalex.org/W1967814846","https://openalex.org/W2008049764","https://openalex.org/W2016461386","https://openalex.org/W2046846866","https://openalex.org/W2068987903","https://openalex.org/W2075480893","https://openalex.org/W2088648195","https://openalex.org/W2146066930","https://openalex.org/W2314361409","https://openalex.org/W4234404550","https://openalex.org/W4246110625","https://openalex.org/W4251997028"],"related_works":["https://openalex.org/W603403972","https://openalex.org/W4287117052","https://openalex.org/W4283803822","https://openalex.org/W4206705200","https://openalex.org/W2963009577","https://openalex.org/W2903402681","https://openalex.org/W2788975631","https://openalex.org/W2157783000","https://openalex.org/W2083238533","https://openalex.org/W2061237693"],"abstract_inverted_index":{"This":[0],"article":[1],"determines":[2],"the":[3,6,15,18,26,29,54,57,89],"set":[4,16,27],"of":[5,10,17,22,28,33,64,86],"circular":[7,19,30,61,83],"flow":[8,20,31,62,84],"numbers":[9,21,32,63,85],"regular":[11,101],"graphs.":[12,35,102],"Let":[13],"be":[14,25],"graphs,":[23],"and":[24,68],"d-regular":[34],"If":[36],"d":[37],"is":[38,44,56,75],"even,":[39],"then":[40,77],".":[41,48,52],"For":[42],"it":[43,78],"known":[45],"6":[46],"that":[47,51,80],"We":[49],"show":[50],"Hence,":[53],"interval":[55,90],"only":[58],"gap":[59],"for":[60,82,95,100],"-regular":[65],"graphs":[66,87,97],"between":[67],"5.":[69],"Furthermore,":[70],"if":[71],"Tutte's":[72],"5-flow":[73],"conjecture":[74],"false,":[76],"follows,":[79],"gaps":[81],"in":[88],"[5,":[91],"6]":[92],"are":[93],"due":[94],"all":[96],"not":[98],"just":[99]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W2103964344","counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2024-09-25T10:36:57.084018","created_date":"2016-06-24"}
