{"id":"https://openalex.org/W2023130429","doi":"https://doi.org/10.1016/0012-365x(91)90249-2","title":"On the number of irregular assignments on a graph","display_name":"On the number of irregular assignments on a graph","publication_year":1991,"publication_date":"1991-11-01","ids":{"openalex":"https://openalex.org/W2023130429","doi":"https://doi.org/10.1016/0012-365x(91)90249-2","mag":"2023130429"},"language":"en","primary_location":{"id":"doi:10.1016/0012-365x(91)90249-2","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0012-365x(91)90249-2","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/A5109192523","display_name":"Gary L. Ebert","orcid":null},"institutions":[{"id":"https://openalex.org/I86501945","display_name":"University of Delaware","ror":"https://ror.org/01sbq1a82","country_code":"US","type":"education","lineage":["https://openalex.org/I86501945"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Gary Ebert","raw_affiliation_strings":["Department of Mathematical Sciences, University of Delaware, Newark, DE 19716, USA","Department of Mathematical Sciences University of Delaware, Newark, DE 19716, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, University of Delaware, Newark, DE 19716, USA","institution_ids":["https://openalex.org/I86501945"]},{"raw_affiliation_string":"Department of Mathematical Sciences University of Delaware, Newark, DE 19716, USA","institution_ids":["https://openalex.org/I86501945"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5016660261","display_name":"Joe Hemmeter","orcid":null},"institutions":[{"id":"https://openalex.org/I86501945","display_name":"University of Delaware","ror":"https://ror.org/01sbq1a82","country_code":"US","type":"education","lineage":["https://openalex.org/I86501945"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Joe Hemmeter","raw_affiliation_strings":["Department of Mathematical Sciences, University of Delaware, Newark, DE 19716, USA","Department of Mathematical Sciences University of Delaware, Newark, DE 19716, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, University of Delaware, Newark, DE 19716, USA","institution_ids":["https://openalex.org/I86501945"]},{"raw_affiliation_string":"Department of Mathematical Sciences University of Delaware, Newark, DE 19716, USA","institution_ids":["https://openalex.org/I86501945"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5031529103","display_name":"Felix Lazebnik","orcid":null},"institutions":[{"id":"https://openalex.org/I86501945","display_name":"University of Delaware","ror":"https://ror.org/01sbq1a82","country_code":"US","type":"education","lineage":["https://openalex.org/I86501945"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Felix Lazebnik","raw_affiliation_strings":["Department of Mathematical Sciences, University of Delaware, Newark, DE 19716, USA","Department of Mathematical Sciences University of Delaware, Newark, DE 19716, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, University of Delaware, Newark, DE 19716, USA","institution_ids":["https://openalex.org/I86501945"]},{"raw_affiliation_string":"Department of Mathematical Sciences University of Delaware, Newark, DE 19716, USA","institution_ids":["https://openalex.org/I86501945"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5043002667","display_name":"Andrew J. Woldar","orcid":"https://orcid.org/0000-0002-5678-8648"},"institutions":[{"id":"https://openalex.org/I86501945","display_name":"University of Delaware","ror":"https://ror.org/01sbq1a82","country_code":"US","type":"education","lineage":["https://openalex.org/I86501945"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Andrew Woldar","raw_affiliation_strings":["Department of Mathematical Sciences, University of Delaware, Newark, DE 19716, USA","Department of Mathematical Sciences University of Delaware, Newark, DE 19716, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, University of Delaware, Newark, DE 19716, USA","institution_ids":["https://openalex.org/I86501945"]},{"raw_affiliation_string":"Department of Mathematical Sciences University of Delaware, Newark, DE 19716, USA","institution_ids":["https://openalex.org/I86501945"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"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":0.15390457,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"93","issue":"2-3","first_page":"131","last_page":"142"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12541","display_name":"Graph Labeling and Dimension Problems","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/T12541","display_name":"Graph Labeling and Dimension Problems","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/T10374","display_name":"Advanced Graph Theory Research","score":0.9995999932289124,"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":0.9994000196456909,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.8676111698150635},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8644356727600098},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.6739383935928345},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.6119555234909058},{"id":"https://openalex.org/keywords/simple-graph","display_name":"Simple graph","score":0.5998887419700623},{"id":"https://openalex.org/keywords/weight-function","display_name":"Weight function","score":0.4480679929256439},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4349827468395233}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8676111698150635},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8644356727600098},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.6739383935928345},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.6119555234909058},{"id":"https://openalex.org/C2993105083","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Simple graph","level":3,"score":0.5998887419700623},{"id":"https://openalex.org/C134466208","wikidata":"https://www.wikidata.org/wiki/Q1520657","display_name":"Weight function","level":2,"score":0.4480679929256439},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4349827468395233},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/0012-365x(91)90249-2","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0012-365x(91)90249-2","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":2,"referenced_works":["https://openalex.org/W1965984179","https://openalex.org/W2011030480"],"related_works":["https://openalex.org/W2951305269","https://openalex.org/W4310825608","https://openalex.org/W2897806428","https://openalex.org/W3046126138","https://openalex.org/W2078517125","https://openalex.org/W2391518723","https://openalex.org/W2010965931","https://openalex.org/W2805115653","https://openalex.org/W1022875430","https://openalex.org/W1996149838"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":3}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
