{"id":"https://openalex.org/W2164875200","doi":"https://doi.org/10.1002/jgt.3190050408","title":"Generalized line graphs","display_name":"Generalized line graphs","publication_year":1981,"publication_date":"1981-12-01","ids":{"openalex":"https://openalex.org/W2164875200","doi":"https://doi.org/10.1002/jgt.3190050408","mag":"2164875200"},"language":"en","primary_location":{"id":"doi:10.1002/jgt.3190050408","is_oa":false,"landing_page_url":"https://doi.org/10.1002/jgt.3190050408","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":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Graph Theory","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/A5100608452","display_name":"Drago\u0161 Cvetkovi\u0107","orcid":"https://orcid.org/0000-0003-4425-8575"},"institutions":[{"id":"https://openalex.org/I4068193","display_name":"University of Belgrade","ror":"https://ror.org/02qsmb048","country_code":"RS","type":"education","lineage":["https://openalex.org/I4068193"]}],"countries":["RS"],"is_corresponding":true,"raw_author_name":"Drago\u0161 Cvetkovic\u0300","raw_affiliation_strings":["University of Belgrade Belgrade, Yugoslavia"],"affiliations":[{"raw_affiliation_string":"University of Belgrade Belgrade, Yugoslavia","institution_ids":["https://openalex.org/I4068193"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5055044564","display_name":"Michael Doob","orcid":null},"institutions":[{"id":"https://openalex.org/I46247651","display_name":"University of Manitoba","ror":"https://ror.org/02gfys938","country_code":"CA","type":"education","lineage":["https://openalex.org/I46247651"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Michael Doob","raw_affiliation_strings":["University of Manitoba Winnipeg, Manitoba, Canada"],"affiliations":[{"raw_affiliation_string":"University of Manitoba Winnipeg, Manitoba, Canada","institution_ids":["https://openalex.org/I46247651"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5103703332","display_name":"Slobodan Simi\u0107","orcid":null},"institutions":[{"id":"https://openalex.org/I4068193","display_name":"University of Belgrade","ror":"https://ror.org/02qsmb048","country_code":"RS","type":"education","lineage":["https://openalex.org/I4068193"]}],"countries":["RS"],"is_corresponding":false,"raw_author_name":"Slobodan Simic\u0300","raw_affiliation_strings":["University of Belgrade Belgrade, Yugoslavia"],"affiliations":[{"raw_affiliation_string":"University of Belgrade Belgrade, Yugoslavia","institution_ids":["https://openalex.org/I4068193"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5100608452"],"corresponding_institution_ids":["https://openalex.org/I4068193"],"apc_list":{"value":3760,"currency":"USD","value_usd":3760},"apc_paid":null,"fwci":0.9857,"has_fulltext":false,"cited_by_count":62,"citation_normalized_percentile":{"value":0.74617068,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"5","issue":"4","first_page":"385","last_page":"399"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12084","display_name":"Synthesis and properties of polymers","score":0.9789999723434448,"subfield":{"id":"https://openalex.org/subfields/2507","display_name":"Polymers and Plastics"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12084","display_name":"Synthesis and properties of polymers","score":0.9789999723434448,"subfield":{"id":"https://openalex.org/subfields/2507","display_name":"Polymers and Plastics"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9779999852180481,"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/mathematics","display_name":"Mathematics","score":0.7682816982269287},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6865650415420532},{"id":"https://openalex.org/keywords/indifference-graph","display_name":"Indifference graph","score":0.5240107774734497},{"id":"https://openalex.org/keywords/chordal-graph","display_name":"Chordal graph","score":0.5053101181983948},{"id":"https://openalex.org/keywords/line","display_name":"Line (geometry)","score":0.48879000544548035},{"id":"https://openalex.org/keywords/pathwidth","display_name":"Pathwidth","score":0.4491916000843048},{"id":"https://openalex.org/keywords/automorphism","display_name":"Automorphism","score":0.4339006543159485},{"id":"https://openalex.org/keywords/clique-sum","display_name":"Clique-sum","score":0.42139044404029846},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4213518500328064},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.4169246256351471},{"id":"https://openalex.org/keywords/1-planar-graph","display_name":"1-planar graph","score":0.41211673617362976},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.23645082116127014},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.04430466890335083}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7682816982269287},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6865650415420532},{"id":"https://openalex.org/C74133993","wikidata":"https://www.wikidata.org/wiki/Q3115472","display_name":"Indifference graph","level":3,"score":0.5240107774734497},{"id":"https://openalex.org/C160446614","wikidata":"https://www.wikidata.org/wiki/Q1322892","display_name":"Chordal graph","level":3,"score":0.5053101181983948},{"id":"https://openalex.org/C198352243","wikidata":"https://www.wikidata.org/wiki/Q37105","display_name":"Line (geometry)","level":2,"score":0.48879000544548035},{"id":"https://openalex.org/C43517604","wikidata":"https://www.wikidata.org/wiki/Q7144893","display_name":"Pathwidth","level":4,"score":0.4491916000843048},{"id":"https://openalex.org/C118712358","wikidata":"https://www.wikidata.org/wiki/Q782566","display_name":"Automorphism","level":2,"score":0.4339006543159485},{"id":"https://openalex.org/C186942658","wikidata":"https://www.wikidata.org/wiki/Q5134410","display_name":"Clique-sum","level":5,"score":0.42139044404029846},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4213518500328064},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.4169246256351471},{"id":"https://openalex.org/C102192266","wikidata":"https://www.wikidata.org/wiki/Q4545823","display_name":"1-planar graph","level":4,"score":0.41211673617362976},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.23645082116127014},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.04430466890335083}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1002/jgt.3190050408","is_oa":false,"landing_page_url":"https://doi.org/10.1002/jgt.3190050408","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":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Graph Theory","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W337358633","https://openalex.org/W1963843244","https://openalex.org/W1968719244","https://openalex.org/W2007692348","https://openalex.org/W2010142885","https://openalex.org/W2048159843","https://openalex.org/W2065761231","https://openalex.org/W2066695739","https://openalex.org/W2153525410","https://openalex.org/W2156563793","https://openalex.org/W4213214460","https://openalex.org/W4231597948"],"related_works":["https://openalex.org/W603403972","https://openalex.org/W4361825306","https://openalex.org/W2029854525","https://openalex.org/W3130332934","https://openalex.org/W2093949146","https://openalex.org/W628145248","https://openalex.org/W2031276298","https://openalex.org/W2898526288","https://openalex.org/W3105066740","https://openalex.org/W2749707280"],"abstract_inverted_index":{"Abstract":[0],"Generalized":[1],"line":[2,9,30,36,48],"graphs":[3,10,31],"extend":[4],"the":[5,39,44],"ideas":[6],"of":[7,43],"both":[8],"and":[11,41,54,59],"cocktail":[12],"party":[13],"graphs.":[14],"They":[15],"were":[16],"originally":[17],"motivated":[18],"by":[19],"spectral":[20],"considerations.":[21],"in":[22],"this":[23],"paper":[24],"several":[25],"(nonspectral)":[26],"classical":[27],"theorems":[28,56],"about":[29],"are":[32],"extended":[33],"to":[34],"generalized":[35],"graphs,":[37,49],"including":[38],"derivation":[40],"construction":[42],"31":[45],"minimal":[46],"nongeneralized":[47],"a":[50],"Krausz\u2010type":[51],"covering":[52],"characterization,":[53],"Whitney\u2010type":[55],"on":[57],"isomorphisms":[58],"automorphisms.":[60]},"counts_by_year":[{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":5},{"year":2012,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
