{"id":"https://openalex.org/W2119041716","doi":"https://doi.org/10.1002/net.3230080105","title":"Color\u2010feasible sequences of a multigraph","display_name":"Color\u2010feasible sequences of a multigraph","publication_year":1978,"publication_date":"1978-03-01","ids":{"openalex":"https://openalex.org/W2119041716","doi":"https://doi.org/10.1002/net.3230080105","mag":"2119041716"},"language":"en","primary_location":{"id":"doi:10.1002/net.3230080105","is_oa":false,"landing_page_url":"https://doi.org/10.1002/net.3230080105","pdf_url":null,"source":{"id":"https://openalex.org/S191798613","display_name":"Networks","issn_l":"0028-3045","issn":["0028-3045","1097-0037"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Networks","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://infoscience.epfl.ch/record/88505","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5113455966","display_name":"D. de Werra","orcid":null},"institutions":[{"id":"https://openalex.org/I5124864","display_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","ror":"https://ror.org/02s376052","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I5124864"]}],"countries":["CH"],"is_corresponding":true,"raw_author_name":"D. de Werra","raw_affiliation_strings":["Ecole Polytechnique Fe\u0301de\u0301rale de Lausanne Lausanne, Switzerland","\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne; Lausanne Switzerland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Ecole Polytechnique Fe\u0301de\u0301rale de Lausanne Lausanne, Switzerland","institution_ids":["https://openalex.org/I5124864"]},{"raw_affiliation_string":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne; Lausanne Switzerland","institution_ids":["https://openalex.org/I5124864"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5113455966"],"corresponding_institution_ids":["https://openalex.org/I5124864"],"apc_list":{"value":3400,"currency":"USD","value_usd":3400},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.23016748,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"8","issue":"1","first_page":"7","last_page":"16"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9926999807357788,"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"}},"topics":[{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9926999807357788,"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/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.9147999882698059,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/multigraph","display_name":"Multigraph","score":0.9938488602638245},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.847673773765564},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6921762228012085},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.5666488409042358},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5381565690040588},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.507271945476532},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.36276572942733765},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.18828144669532776},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.09930223226547241},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.06425490975379944}],"concepts":[{"id":"https://openalex.org/C17758045","wikidata":"https://www.wikidata.org/wiki/Q2642629","display_name":"Multigraph","level":3,"score":0.9938488602638245},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.847673773765564},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6921762228012085},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.5666488409042358},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5381565690040588},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.507271945476532},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.36276572942733765},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.18828144669532776},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.09930223226547241},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.06425490975379944},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1002/net.3230080105","is_oa":false,"landing_page_url":"https://doi.org/10.1002/net.3230080105","pdf_url":null,"source":{"id":"https://openalex.org/S191798613","display_name":"Networks","issn_l":"0028-3045","issn":["0028-3045","1097-0037"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Networks","raw_type":"journal-article"},{"id":"pmh:oai:infoscience.tind.io:88505","is_oa":true,"landing_page_url":"http://infoscience.epfl.ch/record/88505","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"research article"}],"best_oa_location":{"id":"pmh:oai:infoscience.tind.io:88505","is_oa":true,"landing_page_url":"http://infoscience.epfl.ch/record/88505","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"research article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":3,"referenced_works":["https://openalex.org/W1530753374","https://openalex.org/W2010326457","https://openalex.org/W2025599479"],"related_works":["https://openalex.org/W2964122414","https://openalex.org/W2781078086","https://openalex.org/W2114952748","https://openalex.org/W2914213999","https://openalex.org/W2604238334","https://openalex.org/W2380420450","https://openalex.org/W1970497402","https://openalex.org/W2608490877","https://openalex.org/W1980334956","https://openalex.org/W2925142624"],"abstract_inverted_index":{"Abstract":[0],"Given":[1],"a":[2,5,98],"multigraph":[3,99],"G,":[4],"sequence":[6],"(h":[7],"1":[8,17,32],",\u2026,":[9,33],"h":[10,16,20,41],"m":[11,21,35],")":[12],"of":[13,53,56,76,97],"nonnegative":[14],"integers":[15],"\u2265\u2026":[18],"\u2265":[19],"is":[22,28,47,58,66],"color\u2010feasible":[23,54],"for":[24],"G":[25,57,65,100],"if":[26,64,92],"there":[27],"an":[29],"edge\u2010coloring":[30],"H":[31,34,37],"where":[36],"i":[38,42],"has":[39],"exactly":[40],"edges":[43],"(i=1,\u2026,":[44],"m).":[45],"It":[46],"known":[48],"that":[49,63],"the":[50,93],"set":[51],"C(G)":[52,77],"sequences":[55,75,108],"partially":[59],"ordered.":[60],"We":[61],"show":[62],"simple":[67],"with":[68],"maximum":[69],"degree":[70],"d,":[71],"then":[72,105],"all":[73,106],"maximal":[74,107],"have":[78,109],"at":[79,110],"most":[80,111],"d+1":[81,112],"nonzero":[82,113],"entries.":[83,114],"This":[84],"result":[85],"can":[86],"be":[87],"extended":[88],"to":[89],"multigraphs.":[90],"Furthermore,":[91],"odd":[94],"elementary":[95],"cycles":[96],"satisfy":[101],"some":[102],"specified":[103],"conditions":[104]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}