{"id":"https://openalex.org/W2135972039","doi":"https://doi.org/10.1016/s0012-365x(99)00104-1","title":"Neighborhood unions and factor critical graphs","display_name":"Neighborhood unions and factor critical graphs","publication_year":1999,"publication_date":"1999-07-01","ids":{"openalex":"https://openalex.org/W2135972039","doi":"https://doi.org/10.1016/s0012-365x(99)00104-1","mag":"2135972039"},"language":"en","primary_location":{"id":"doi:10.1016/s0012-365x(99)00104-1","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0012-365x(99)00104-1","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/A5111403910","display_name":"Hikoe Enomoto","orcid":null},"institutions":[{"id":"https://openalex.org/I203951103","display_name":"Keio University","ror":"https://ror.org/02kn6nx58","country_code":"JP","type":"education","lineage":["https://openalex.org/I203951103"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Hikoe Enomoto","raw_affiliation_strings":["Department of Mathematics, Keio University, 3-14-1 Hiyoshi, Kohoku-Ku, Yokohama 223-8522, Japan","DEPARTMENT OF MATHEMATICS; KEIO UNIVERSITY; 3-14-1 HIYOSHI KOHOKU-KU YOKOHAMA 223-8522 JAPAN"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Keio University, 3-14-1 Hiyoshi, Kohoku-Ku, Yokohama 223-8522, Japan","institution_ids":["https://openalex.org/I203951103"]},{"raw_affiliation_string":"DEPARTMENT OF MATHEMATICS; KEIO UNIVERSITY; 3-14-1 HIYOSHI KOHOKU-KU YOKOHAMA 223-8522 JAPAN","institution_ids":["https://openalex.org/I203951103"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5004807934","display_name":"Michael D. Plummer","orcid":"https://orcid.org/0000-0002-5877-5330"},"institutions":[{"id":"https://openalex.org/I200719446","display_name":"Vanderbilt University","ror":"https://ror.org/02vm5rt34","country_code":"US","type":"education","lineage":["https://openalex.org/I200719446"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Michael D. Plummer","raw_affiliation_strings":["Department of Mathematics, Vanderbilt University, Nashville, TN 37240, USA","Department of Mathematics , Vanderbilt University , Nashville , TN 37240 , USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Vanderbilt University, Nashville, TN 37240, USA","institution_ids":["https://openalex.org/I200719446"]},{"raw_affiliation_string":"Department of Mathematics , Vanderbilt University , Nashville , TN 37240 , USA","institution_ids":["https://openalex.org/I200719446"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101642885","display_name":"Akira Saito","orcid":"https://orcid.org/0000-0003-4608-242X"},"institutions":[{"id":"https://openalex.org/I104946051","display_name":"Nihon University","ror":"https://ror.org/05jk51a88","country_code":"JP","type":"education","lineage":["https://openalex.org/I104946051"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Akira Saito","raw_affiliation_strings":["Department of Mathematics, Nihon University, Sakurajosui 3-25-40, Setagaya-Ku, Tokyo 156-8550, Japan","Department of Mathematics, Nihon University, Sakurajosui 3\u201025\u201040, Setagaya\u2010ku, Tokyo 156\u20108550, Japan"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Nihon University, Sakurajosui 3-25-40, Setagaya-Ku, Tokyo 156-8550, Japan","institution_ids":["https://openalex.org/I104946051"]},{"raw_affiliation_string":"Department of Mathematics, Nihon University, Sakurajosui 3\u201025\u201040, Setagaya\u2010ku, Tokyo 156\u20108550, Japan","institution_ids":["https://openalex.org/I104946051"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5101642885"],"corresponding_institution_ids":["https://openalex.org/I104946051"],"apc_list":{"value":3000,"currency":"USD","value_usd":3000},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.23356978,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"205","issue":"1-3","first_page":"217","last_page":"220"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9993000030517578,"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":0.9993000030517578,"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/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9948999881744385,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"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/T11476","display_name":"Graph theory and applications","score":0.9672999978065491,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8623251914978027},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7895519137382507},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5693032145500183},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5349705219268799},{"id":"https://openalex.org/keywords/matching","display_name":"Matching (statistics)","score":0.5029849410057068},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.45892244577407837},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.04794520139694214},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.0437161922454834}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8623251914978027},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7895519137382507},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5693032145500183},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5349705219268799},{"id":"https://openalex.org/C165064840","wikidata":"https://www.wikidata.org/wiki/Q1321061","display_name":"Matching (statistics)","level":2,"score":0.5029849410057068},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.45892244577407837},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.04794520139694214},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0437161922454834},{"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":[{"id":"doi:10.1016/s0012-365x(99)00104-1","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0012-365x(99)00104-1","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":[{"score":0.4699999988079071,"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":4,"referenced_works":["https://openalex.org/W1695769697","https://openalex.org/W1970805731","https://openalex.org/W2003376008","https://openalex.org/W2796976177"],"related_works":["https://openalex.org/W2980963558","https://openalex.org/W1972035260","https://openalex.org/W1882246857","https://openalex.org/W3103304230","https://openalex.org/W2185360082","https://openalex.org/W1992365905","https://openalex.org/W4287664878","https://openalex.org/W3212023493","https://openalex.org/W1991411408","https://openalex.org/W4288278856"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2023,"cited_by_count":2},{"year":2019,"cited_by_count":1}],"updated_date":"2026-03-10T14:07:55.174380","created_date":"2025-10-10T00:00:00"}