{"id":"https://openalex.org/W1964275362","doi":"https://doi.org/10.1002/jgt.3190120105","title":"A reduction method to find spanning Eulerian subgraphs","display_name":"A reduction method to find spanning Eulerian subgraphs","publication_year":1988,"publication_date":"1988-03-01","ids":{"openalex":"https://openalex.org/W1964275362","doi":"https://doi.org/10.1002/jgt.3190120105","mag":"1964275362"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.1002/jgt.3190120105","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_indexed_in_scopus":true,"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/A5108650843","display_name":"Paul A. Catlin","orcid":null},"institutions":[{"id":"https://openalex.org/I185443292","display_name":"Wayne State University","ror":"https://ror.org/01070mq45","country_code":"US","type":"education","lineage":["https://openalex.org/I185443292"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Paul A. Catlin","raw_affiliation_strings":["Department of Mathematics , Wayne State University , Detroit, Michigan, 48202"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics , Wayne State University , Detroit, Michigan, 48202","institution_ids":["https://openalex.org/I185443292"]}]}],"institution_assertions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5108650843"],"corresponding_institution_ids":["https://openalex.org/I185443292"],"apc_list":{"value":3760,"currency":"USD","value_usd":3760,"provenance":"doaj"},"apc_paid":null,"fwci":4.5,"has_fulltext":true,"fulltext_origin":"ngrams","cited_by_count":228,"citation_normalized_percentile":{"value":0.992741,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":98,"max":99},"biblio":{"volume":"12","issue":"1","first_page":"29","last_page":"44"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","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"}},"topics":[{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","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"}},{"id":"https://openalex.org/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.999,"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":0.9978,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/graph-factorization","display_name":"Graph factorization","score":0.51180285},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.47629395},{"id":"https://openalex.org/keywords/induced-subgraph","display_name":"Induced subgraph","score":0.41515446}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8320679},{"id":"https://openalex.org/C43058520","wikidata":"https://www.wikidata.org/wiki/Q624580","display_name":"Eulerian path","level":3,"score":0.8202963},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7684401},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.57615566},{"id":"https://openalex.org/C128115575","wikidata":"https://www.wikidata.org/wiki/Q5597083","display_name":"Graph factorization","level":5,"score":0.51180285},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.47629395},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.47144306},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.46925756},{"id":"https://openalex.org/C2778012994","wikidata":"https://www.wikidata.org/wiki/Q24743362","display_name":"Induced subgraph","level":4,"score":0.41515446},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.37169552},{"id":"https://openalex.org/C149530733","wikidata":"https://www.wikidata.org/wiki/Q5597091","display_name":"Graph power","level":4,"score":0.16920856},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.14667857},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.1342257},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.056668967},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.046765417},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C53469067","wikidata":"https://www.wikidata.org/wiki/Q505735","display_name":"Lagrangian","level":2,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"is_oa":false,"landing_page_url":"https://doi.org/10.1002/jgt.3190120105","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_indexed_in_scopus":true,"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":22,"referenced_works":["https://openalex.org/W1484040084","https://openalex.org/W1510730180","https://openalex.org/W1909115871","https://openalex.org/W1963619425","https://openalex.org/W1997421716","https://openalex.org/W2005906639","https://openalex.org/W2010042187","https://openalex.org/W2016177335","https://openalex.org/W2041298209","https://openalex.org/W2042706982","https://openalex.org/W2045501962","https://openalex.org/W2058858486","https://openalex.org/W2060069351","https://openalex.org/W2074038919","https://openalex.org/W2074230261","https://openalex.org/W2115359934","https://openalex.org/W2124155973","https://openalex.org/W2137952152","https://openalex.org/W2330947654","https://openalex.org/W3048026367","https://openalex.org/W4230229044","https://openalex.org/W4243834975"],"related_works":["https://openalex.org/W4287668988","https://openalex.org/W4286911546","https://openalex.org/W3084441407","https://openalex.org/W2789636091","https://openalex.org/W2394463596","https://openalex.org/W2356729774","https://openalex.org/W2038748961","https://openalex.org/W2011395621","https://openalex.org/W2007346569","https://openalex.org/W1979190428"],"abstract_inverted_index":{"Abstract":[0],"We":[1,70],"ask,":[2],"When":[3],"does":[4],"a":[5,9,22,41,47,63,72],"graph":[6],"G":[7,29,33,68],"have":[8],"subgraph":[10,42,66],"\u0393":[11,20],"such":[12,31,40,60],"that":[13,32],"the":[14],"vertices":[15],"of":[16,50,67],"odd":[17],"degree":[18],"in":[19],"form":[21],"specified":[23],"set":[24],"S":[25,51],"\u2286":[26],"V":[27],"(":[28],"),":[30],"\u2010":[34],"E":[35],"(\u0393)":[36],"is":[37],"connected?":[38],"If":[39],"can":[43,55],"be":[44,56],"found":[45],"for":[46],"suitable":[48],"choice":[49],",":[52],"then":[53],"this":[54],"applied":[57],"to":[58],"problems":[59],"as":[61],"finding":[62],"spanning":[64],"eulerian":[65],".":[69],"provide":[71],"general":[73],"method,":[74],"with":[75],"applications.":[76]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W1964275362","counts_by_year":[{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":15},{"year":2021,"cited_by_count":6},{"year":2020,"cited_by_count":16},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":7},{"year":2016,"cited_by_count":12},{"year":2015,"cited_by_count":10},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":10},{"year":2012,"cited_by_count":11}],"updated_date":"2025-01-19T08:50:22.601616","created_date":"2016-06-24"}