{"id":"https://openalex.org/W2072634527","doi":"https://doi.org/10.1016/s0012-365x(00)00124-2","title":"Tolerance orders and bipartite unit tolerance graphs","display_name":"Tolerance orders and bipartite unit tolerance graphs","publication_year":2001,"publication_date":"2001-01-01","ids":{"openalex":"https://openalex.org/W2072634527","doi":"https://doi.org/10.1016/s0012-365x(00)00124-2","mag":"2072634527"},"language":"en","primary_location":{"id":"doi:10.1016/s0012-365x(00)00124-2","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0012-365x(00)00124-2","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/A5036438245","display_name":"Kenneth P. Bogart","orcid":null},"institutions":[{"id":"https://openalex.org/I107672454","display_name":"Dartmouth College","ror":"https://ror.org/049s0rh22","country_code":"US","type":"education","lineage":["https://openalex.org/I107672454"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Kenneth P. Bogart","raw_affiliation_strings":["Department of Mathematics and Computer Science, Dartmouth College, Hanover, NH 03755-3551, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, Dartmouth College, Hanover, NH 03755-3551, USA","institution_ids":["https://openalex.org/I107672454"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5060263835","display_name":"Michael S. Jacobson","orcid":"https://orcid.org/0000-0003-2220-8622"},"institutions":[{"id":"https://openalex.org/I142740786","display_name":"University of Louisville","ror":"https://ror.org/01ckdn478","country_code":"US","type":"education","lineage":["https://openalex.org/I142740786"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Michael S. Jacobson","raw_affiliation_strings":["Department of Mathematics, University of Louisville, Louisville, KY 40292-0001, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Louisville, Louisville, KY 40292-0001, USA","institution_ids":["https://openalex.org/I142740786"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5021131882","display_name":"Larry J. Langley","orcid":null},"institutions":[{"id":"https://openalex.org/I119942576","display_name":"University of the Pacific","ror":"https://ror.org/05ma4gw77","country_code":"US","type":"education","lineage":["https://openalex.org/I119942576"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Larry J. Langley","raw_affiliation_strings":["Department of Mathematics, University of the Pacific, 3601 Pacific Avenue, Stockton, CA 95211, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of the Pacific, 3601 Pacific Avenue, Stockton, CA 95211, USA","institution_ids":["https://openalex.org/I119942576"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5037518076","display_name":"F.R. McMorris","orcid":null},"institutions":[{"id":"https://openalex.org/I180949307","display_name":"Illinois Institute of Technology","ror":"https://ror.org/037t3ry66","country_code":"US","type":"education","lineage":["https://openalex.org/I180949307"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"F.R. Mcmorris","raw_affiliation_strings":["Department of Applied Mathematics, Illinois Institute of Technology, Chicago, IL 60616-3793, USA","Department of Applied Mathematics  Illinois Institute of Technology  Chicago  IL 60616-3793  USA"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, Illinois Institute of Technology, Chicago, IL 60616-3793, USA","institution_ids":["https://openalex.org/I180949307"]},{"raw_affiliation_string":"Department of Applied Mathematics  Illinois Institute of Technology  Chicago  IL 60616-3793  USA","institution_ids":["https://openalex.org/I180949307"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5021131882"],"corresponding_institution_ids":["https://openalex.org/I119942576"],"apc_list":{"value":3000,"currency":"USD","value_usd":3000},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.21253875,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"226","issue":"1-3","first_page":"35","last_page":"50"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12404","display_name":"Mathematical Approximation and Integration","score":0.8528000116348267,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12404","display_name":"Mathematical Approximation and Integration","score":0.8528000116348267,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/T11797","display_name":"graph theory and CDMA systems","score":0.7943999767303467,"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"}},{"id":"https://openalex.org/T12923","display_name":"Digital Image Processing Techniques","score":0.7915999889373779,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/bipartite-graph","display_name":"Bipartite graph","score":0.7886224389076233},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7758060693740845},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7582626342773438},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.47809693217277527},{"id":"https://openalex.org/keywords/unit","display_name":"Unit (ring theory)","score":0.4618467688560486},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.41798102855682373},{"id":"https://openalex.org/keywords/element","display_name":"Element (criminal law)","score":0.4123140871524811}],"concepts":[{"id":"https://openalex.org/C197657726","wikidata":"https://www.wikidata.org/wiki/Q174733","display_name":"Bipartite graph","level":3,"score":0.7886224389076233},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7758060693740845},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7582626342773438},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.47809693217277527},{"id":"https://openalex.org/C122637931","wikidata":"https://www.wikidata.org/wiki/Q118084","display_name":"Unit (ring theory)","level":2,"score":0.4618467688560486},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.41798102855682373},{"id":"https://openalex.org/C200288055","wikidata":"https://www.wikidata.org/wiki/Q2621792","display_name":"Element (criminal law)","level":2,"score":0.4123140871524811},{"id":"https://openalex.org/C145420912","wikidata":"https://www.wikidata.org/wiki/Q853077","display_name":"Mathematics education","level":1,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1016/s0012-365x(00)00124-2","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0012-365x(00)00124-2","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"},{"id":"pmh:oai:scholarlycommons.pacific.edu:cop-facarticles-1646","is_oa":false,"landing_page_url":"https://scholarlycommons.pacific.edu/cop-facarticles/636","pdf_url":null,"source":{"id":"https://openalex.org/S4306400314","display_name":"Scholarly Commons (University of the Pacific)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I119942576","host_organization_name":"University of the Pacific","host_organization_lineage":["https://openalex.org/I119942576"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"College of the Pacific Faculty Articles","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.7099999785423279,"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2371352078","https://openalex.org/W2953461625","https://openalex.org/W2077383796","https://openalex.org/W2080136900","https://openalex.org/W2372768926","https://openalex.org/W2999799752","https://openalex.org/W2567825307","https://openalex.org/W2054458431","https://openalex.org/W2115167491","https://openalex.org/W2799161558"],"abstract_inverted_index":null,"counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}