{"id":"https://openalex.org/W1907059769","doi":"https://doi.org/10.37236/165","title":"Distinguishing Chromatic Numbers of Bipartite Graphs","display_name":"Distinguishing Chromatic Numbers of Bipartite Graphs","publication_year":2009,"publication_date":"2009-06-25","ids":{"openalex":"https://openalex.org/W1907059769","doi":"https://doi.org/10.37236/165","mag":"1907059769"},"language":"en","primary_location":{"id":"doi:10.37236/165","is_oa":true,"landing_page_url":"https://doi.org/10.37236/165","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v16i1r76/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v16i1r76/pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5073859486","display_name":"Claude Laflamme","orcid":null},"institutions":[{"id":"https://openalex.org/I168635309","display_name":"University of Calgary","ror":"https://ror.org/03yjb2x39","country_code":"CA","type":"education","lineage":["https://openalex.org/I168635309"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"C. Laflamme","raw_affiliation_strings":["Department of Mathematics and Statistics, University of Calgary, Calgary, Alberta, Canada, T2N 1N4,","University of Calgary"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, University of Calgary, Calgary, Alberta, Canada, T2N 1N4,","institution_ids":["https://openalex.org/I168635309"]},{"raw_affiliation_string":"University of Calgary","institution_ids":["https://openalex.org/I168635309"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5017089240","display_name":"Karen Seyffarth","orcid":null},"institutions":[{"id":"https://openalex.org/I168635309","display_name":"University of Calgary","ror":"https://ror.org/03yjb2x39","country_code":"CA","type":"education","lineage":["https://openalex.org/I168635309"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"K. Seyffarth","raw_affiliation_strings":["Department of Mathematics and Statistics, University of Calgary, Calgary, Alberta, Canada, T2N 1N4,","University of Calgary"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, University of Calgary, Calgary, Alberta, Canada, T2N 1N4,","institution_ids":["https://openalex.org/I168635309"]},{"raw_affiliation_string":"University of Calgary","institution_ids":["https://openalex.org/I168635309"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5073859486"],"corresponding_institution_ids":["https://openalex.org/I168635309"],"apc_list":null,"apc_paid":null,"fwci":0.707,"has_fulltext":true,"cited_by_count":11,"citation_normalized_percentile":{"value":0.6920713,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"16","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12541","display_name":"Graph Labeling and Dimension Problems","score":1.0,"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":1.0,"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/T11708","display_name":"Photochromic and Fluorescence Chemistry","score":0.9243000149726868,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"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/T11797","display_name":"graph theory and CDMA systems","score":0.9157000184059143,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.8888628482818604},{"id":"https://openalex.org/keywords/bipartite-graph","display_name":"Bipartite graph","score":0.8846324682235718},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8434404134750366},{"id":"https://openalex.org/keywords/chromatic-scale","display_name":"Chromatic scale","score":0.642783522605896},{"id":"https://openalex.org/keywords/delta","display_name":"Delta","score":0.5670859813690186},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5008149147033691},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4349958598613739},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.057532817125320435}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8888628482818604},{"id":"https://openalex.org/C197657726","wikidata":"https://www.wikidata.org/wiki/Q174733","display_name":"Bipartite graph","level":3,"score":0.8846324682235718},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8434404134750366},{"id":"https://openalex.org/C196956537","wikidata":"https://www.wikidata.org/wiki/Q202021","display_name":"Chromatic scale","level":2,"score":0.642783522605896},{"id":"https://openalex.org/C5072461","wikidata":"https://www.wikidata.org/wiki/Q49506","display_name":"Delta","level":2,"score":0.5670859813690186},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5008149147033691},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4349958598613739},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.057532817125320435},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.37236/165","is_oa":true,"landing_page_url":"https://doi.org/10.37236/165","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v16i1r76/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.214.2643","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.214.2643","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.combinatorics.org/Volume_16/PDF/v16i1r76.pdf","raw_type":"text"}],"best_oa_location":{"id":"doi:10.37236/165","is_oa":true,"landing_page_url":"https://doi.org/10.37236/165","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v16i1r76/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1907059769.pdf","grobid_xml":"https://content.openalex.org/works/W1907059769.grobid-xml"},"referenced_works_count":3,"referenced_works":["https://openalex.org/W1516924510","https://openalex.org/W1855706715","https://openalex.org/W2611093227"],"related_works":["https://openalex.org/W1983822485","https://openalex.org/W2126265554","https://openalex.org/W4287548163","https://openalex.org/W4288055366","https://openalex.org/W1974556663","https://openalex.org/W2006170146","https://openalex.org/W1963612445","https://openalex.org/W2070221764","https://openalex.org/W2016775514","https://openalex.org/W1987229802"],"abstract_inverted_index":{"Extending":[0],"the":[1],"work":[2],"of":[3],"K.L.":[4],"Collins":[5],"and":[6],"A.N.":[7],"Trenk,":[8],"we":[9],"characterize":[10],"connected":[11,25],"bipartite":[12,26],"graphs":[13],"with":[14,28],"large":[15],"distinguishing":[16],"chromatic":[17],"number.":[18],"In":[19],"particular,":[20],"if":[21],"$G$":[22],"is":[23],"a":[24],"graph":[27],"maximum":[29],"degree":[30],"$\\Delta":[31],"\\geq":[32],"3$,":[33],"then":[34],"$\\chi_D(G)\\leq":[35],"2\\Delta":[36],"-2$":[37],"whenever":[38],"$G\\not\\cong":[39],"K_{\\Delta-1,\\Delta}$,":[40],"$K_{\\Delta,\\Delta}$.":[41]},"counts_by_year":[{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}