{"id":"https://openalex.org/W2074033153","doi":"https://doi.org/10.1142/s1793830914500104","title":"A NOTE ON EDGE WEIGHT CHOOSABILITY OF GRAPHS","display_name":"A NOTE ON EDGE WEIGHT CHOOSABILITY OF GRAPHS","publication_year":2013,"publication_date":"2013-10-31","ids":{"openalex":"https://openalex.org/W2074033153","doi":"https://doi.org/10.1142/s1793830914500104","mag":"2074033153"},"language":"en","primary_location":{"id":"doi:10.1142/s1793830914500104","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830914500104","pdf_url":null,"source":{"id":"https://openalex.org/S178434951","display_name":"Discrete Mathematics Algorithms and Applications","issn_l":"1793-8309","issn":["1793-8309","1793-8317"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics, Algorithms and Applications","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/A5056132887","display_name":"Jingcheng Fu","orcid":null},"institutions":[{"id":"https://openalex.org/I154099455","display_name":"Shandong University","ror":"https://ror.org/0207yh398","country_code":"CN","type":"education","lineage":["https://openalex.org/I154099455"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"JINGCHENG FU","raw_affiliation_strings":["School of Mathematics, Shandong University, Jinan, 250100, P. R. China","School of Mathematics , Shandong University , Jinan, 250100, P.R. China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics, Shandong University, Jinan, 250100, P. R. China","institution_ids":["https://openalex.org/I154099455"]},{"raw_affiliation_string":"School of Mathematics , Shandong University , Jinan, 250100, P.R. China","institution_ids":["https://openalex.org/I154099455"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100399476","display_name":"Guanghui Wang","orcid":"https://orcid.org/0000-0002-3730-5575"},"institutions":[{"id":"https://openalex.org/I154099455","display_name":"Shandong University","ror":"https://ror.org/0207yh398","country_code":"CN","type":"education","lineage":["https://openalex.org/I154099455"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"GUANGHUI WANG","raw_affiliation_strings":["School of Mathematics, Shandong University, Jinan, 250100, P. R. China","School of Mathematics , Shandong University , Jinan, 250100, P.R. China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics, Shandong University, Jinan, 250100, P. R. China","institution_ids":["https://openalex.org/I154099455"]},{"raw_affiliation_string":"School of Mathematics , Shandong University , Jinan, 250100, P.R. China","institution_ids":["https://openalex.org/I154099455"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5041265547","display_name":"Jianliang Wu","orcid":"https://orcid.org/0000-0003-0524-084X"},"institutions":[{"id":"https://openalex.org/I154099455","display_name":"Shandong University","ror":"https://ror.org/0207yh398","country_code":"CN","type":"education","lineage":["https://openalex.org/I154099455"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"JIANLIANG WU","raw_affiliation_strings":["School of Mathematics, Shandong University, Jinan, 250100, P. R. China","School of Mathematics , Shandong University , Jinan, 250100, P.R. China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics, Shandong University, Jinan, 250100, P. R. China","institution_ids":["https://openalex.org/I154099455"]},{"raw_affiliation_string":"School of Mathematics , Shandong University , Jinan, 250100, P.R. China","institution_ids":["https://openalex.org/I154099455"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101804966","display_name":"Jin Xu","orcid":"https://orcid.org/0000-0001-9372-5681"},"institutions":[{"id":"https://openalex.org/I154099455","display_name":"Shandong University","ror":"https://ror.org/0207yh398","country_code":"CN","type":"education","lineage":["https://openalex.org/I154099455"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"JIN XU","raw_affiliation_strings":["School of Mathematics, Shandong University, Jinan, 250100, P. R. China","School of Mathematics , Shandong University , Jinan, 250100, P.R. China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics, Shandong University, Jinan, 250100, P. R. China","institution_ids":["https://openalex.org/I154099455"]},{"raw_affiliation_string":"School of Mathematics , Shandong University , Jinan, 250100, P.R. China","institution_ids":["https://openalex.org/I154099455"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5056132887"],"corresponding_institution_ids":["https://openalex.org/I154099455"],"apc_list":null,"apc_paid":null,"fwci":0.3625,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.65076323,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"06","issue":"01","first_page":"1450010","last_page":"1450010"},"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9965000152587891,"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":0.9958000183105469,"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":0.8640774488449097},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7316428422927856},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.6073122620582581},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.5964650511741638},{"id":"https://openalex.org/keywords/weighting","display_name":"Weighting","score":0.5177768468856812},{"id":"https://openalex.org/keywords/weight-function","display_name":"Weight function","score":0.4246056079864502},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.37765568494796753},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.0910511314868927}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8640774488449097},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7316428422927856},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.6073122620582581},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.5964650511741638},{"id":"https://openalex.org/C183115368","wikidata":"https://www.wikidata.org/wiki/Q856577","display_name":"Weighting","level":2,"score":0.5177768468856812},{"id":"https://openalex.org/C134466208","wikidata":"https://www.wikidata.org/wiki/Q1520657","display_name":"Weight function","level":2,"score":0.4246056079864502},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.37765568494796753},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0910511314868927},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"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:10.1142/s1793830914500104","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830914500104","pdf_url":null,"source":{"id":"https://openalex.org/S178434951","display_name":"Discrete Mathematics Algorithms and Applications","issn_l":"1793-8309","issn":["1793-8309","1793-8317"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics, Algorithms and Applications","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Life below water","id":"https://metadata.un.org/sdg/14","score":0.8700000047683716}],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":7,"referenced_works":["https://openalex.org/W1484040084","https://openalex.org/W2072414205","https://openalex.org/W2075047823","https://openalex.org/W2101062861","https://openalex.org/W2101489005","https://openalex.org/W2911280162","https://openalex.org/W4242583105"],"related_works":["https://openalex.org/W2180954594","https://openalex.org/W2052835778","https://openalex.org/W2049003611","https://openalex.org/W2108418243","https://openalex.org/W2127804977","https://openalex.org/W164103134","https://openalex.org/W2787352659","https://openalex.org/W1970611213","https://openalex.org/W279997932","https://openalex.org/W2081365191"],"abstract_inverted_index":{"In":[0,197],"2004,":[1],"Karo\u0144ski,":[2],"\u0141uczak,":[3],"and":[4,45,66,128,138],"Thomason":[5],"conjectured":[6,140],"that":[7,29,101,141,167,179],"the":[8,23,30,36,97,130],"edges":[9],"of":[10,38,60,104,106,134],"any":[11,102,172,184],"connected":[12],"graph":[13,95,147,174,186],"on":[14],"at":[15],"least":[16],"3":[17],"vertices":[18,31],"may":[19],"be":[20],"weighted":[21],"from":[22],"set":[24],"{1,":[25],"2,":[26],"3}":[27],"so":[28],"are":[32],"properly":[33],"colored":[34],"by":[35,120,124,192],"sums":[37,121],"their":[39],"incident":[40],"edge":[41,54,91,113,131],"weights.":[42],"Bartnicki,":[43,136],"Grytczuk":[44,137],"Niwcyk":[46,139],"introduced":[47],"its":[48],"list":[49,59],"version.":[50],"Assign":[51],"to":[52,109,152,204],"each":[53,74],"e":[55,75],"\u2208":[56,71,76],"E(G)":[57,83,110],"a":[58,68,94,117,145,149],"k":[61,99,108],"real":[62],"numbers,":[63],"say":[64],"L(e),":[65],"choose":[67],"weight":[69,132],"w(e)":[70],"L(e)":[72,87],"for":[73,171,183],"E(G).":[77],"The":[78],"resulting":[79],"function":[80],"w":[81],":":[82],"\u2192":[84],"\u22c3":[85],"e\u2208E(G)":[86],"is":[88,116,122,144,161],"called":[89,129],"an":[90,112],"k-list-weighting.":[92],"Given":[93],"G,":[96],"smallest":[98],"such":[100,166],"assignment":[103],"lists":[105],"size":[107],"permits":[111],"k-list-weighting":[114],"which":[115],"vertex":[118],"coloring":[119],"denoted":[123],"[Formula:":[125,157,168,180,205],"see":[126,158,169,181,206],"text]":[127,170,182],"choosability":[133],"G.":[135,175],"if":[142],"G":[143,187],"nice":[146,173,185],"(without":[148],"component":[150],"isomorphic":[151],"K":[153,165],"2":[154],"),":[155],"then":[156],"text].":[159,207],"There":[160],"no":[162],"known":[163],"constant":[164],"Ben":[176],"Seamone":[177],"proved":[178],"with":[188],"maximum":[189],"degree":[190],"\u0394(G)":[191],"using":[193],"Alon's":[194],"Combinatorial":[195],"Nullstellensatz.":[196],"this":[198,202],"paper,":[199],"we":[200],"improve":[201],"bound":[203]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}