{"id":"https://openalex.org/W1968275322","doi":"https://doi.org/10.1016/0012-365x(95)00150-u","title":"The reduction of graph families closed under contraction","display_name":"The reduction of graph families closed under contraction","publication_year":1996,"publication_date":"1996-11-01","ids":{"openalex":"https://openalex.org/W1968275322","doi":"https://doi.org/10.1016/0012-365x(95)00150-u","mag":"1968275322"},"language":"en","primary_location":{"id":"doi:10.1016/0012-365x(95)00150-u","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0012-365x(95)00150-u","pdf_url":null,"source":{"id":"https://openalex.org/S18902827","display_name":"Discrete Mathematics","issn_l":"0012-365X","issn":["0012-365X","1872-681X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics","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/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, MI 48202, USA","Department of Mathematics, Wayne State University Detroit, MI 48202, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Wayne State University, Detroit, MI 48202, USA","institution_ids":["https://openalex.org/I185443292"]},{"raw_affiliation_string":"Department of Mathematics, Wayne State University Detroit, MI 48202, USA","institution_ids":["https://openalex.org/I185443292"]}]}],"institutions":[],"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":3000,"currency":"USD","value_usd":3000},"apc_paid":null,"fwci":0.515,"has_fulltext":false,"cited_by_count":26,"citation_normalized_percentile":{"value":0.61809229,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"160","issue":"1-3","first_page":"67","last_page":"80"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9998000264167786,"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":0.9998000264167786,"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9962000250816345,"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/T12288","display_name":"Optimization and Search Problems","score":0.9914000034332275,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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":0.8464042544364929},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.8083174824714661},{"id":"https://openalex.org/keywords/epigraph","display_name":"Epigraph","score":0.7297213077545166},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5414891242980957},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.43781036138534546},{"id":"https://openalex.org/keywords/disjoint-sets","display_name":"Disjoint sets","score":0.4296782612800598},{"id":"https://openalex.org/keywords/edge-contraction","display_name":"Edge contraction","score":0.4181898236274719},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.3675393760204315},{"id":"https://openalex.org/keywords/voltage-graph","display_name":"Voltage graph","score":0.1573474109172821}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8464042544364929},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8083174824714661},{"id":"https://openalex.org/C17192189","wikidata":"https://www.wikidata.org/wiki/Q1347059","display_name":"Epigraph","level":2,"score":0.7297213077545166},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5414891242980957},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.43781036138534546},{"id":"https://openalex.org/C45340560","wikidata":"https://www.wikidata.org/wiki/Q215382","display_name":"Disjoint sets","level":2,"score":0.4296782612800598},{"id":"https://openalex.org/C204562854","wikidata":"https://www.wikidata.org/wiki/Q1397646","display_name":"Edge contraction","level":5,"score":0.4181898236274719},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.3675393760204315},{"id":"https://openalex.org/C22149727","wikidata":"https://www.wikidata.org/wiki/Q7940747","display_name":"Voltage graph","level":4,"score":0.1573474109172821},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/0012-365x(95)00150-u","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0012-365x(95)00150-u","pdf_url":null,"source":{"id":"https://openalex.org/S18902827","display_name":"Discrete Mathematics","issn_l":"0012-365X","issn":["0012-365X","1872-681X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics","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":9,"referenced_works":["https://openalex.org/W1484040084","https://openalex.org/W1964275362","https://openalex.org/W2006221650","https://openalex.org/W2010042187","https://openalex.org/W2022190032","https://openalex.org/W2059563583","https://openalex.org/W2060765530","https://openalex.org/W4210246355","https://openalex.org/W4300303686"],"related_works":["https://openalex.org/W2355558294","https://openalex.org/W2392366684","https://openalex.org/W2381998515","https://openalex.org/W2393671386","https://openalex.org/W2377617670","https://openalex.org/W2713931874","https://openalex.org/W2361142453","https://openalex.org/W3164236790","https://openalex.org/W2362020254","https://openalex.org/W2513523599"],"abstract_inverted_index":null,"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":4},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2026-03-10T14:07:55.174380","created_date":"2025-10-10T00:00:00"}