乐胖代购免代理版

{"id":"https://openalex.org/W3195235912","doi":"https://doi.org/10.7151/dmgt.2428","title":"Extremal graphs and classification of planar graphs by MC-numbers","display_name":"Extremal graphs and classification of planar graphs by MC-numbers","publication_year":2021,"publication_date":"2021-08-23","ids":{"openalex":"https://openalex.org/W3195235912","doi":"https://doi.org/10.7151/dmgt.2428","mag":"3195235912"},"language":"en","primary_location":{"is_oa":true,"landing_page_url":"https://doi.org/10.7151/dmgt.2428","pdf_url":"https://www.dmgt.uz.zgora.pl/publish/pdf.php?doi=2428","source":{"id":"https://openalex.org/S2738357781","display_name":"Discussiones Mathematicae Graph Theory","issn_l":"1234-3099","issn":["1234-3099","2083-5892"],"is_oa":true,"is_in_doaj":true,"is_indexed_in_scopus":true,"is_core":true,"host_organization":"https://openalex.org/P4310320322","host_organization_name":"De Gruyter Open","host_organization_lineage":["https://openalex.org/P4310320322","https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter Open","De Gruyter"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true},"type":"article","type_crossref":"journal-article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://www.dmgt.uz.zgora.pl/publish/pdf.php?doi=2428","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5072288665","display_name":"Yanhong Gao","orcid":null},"institutions":[{"id":"https://openalex.org/I205237279","display_name":"Nankai University","ror":"https://ror.org/01y1kjr75","country_code":"CN","type":"funder","lineage":["https://openalex.org/I205237279"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yanhong Gao","raw_affiliation_strings":["Center for Combinatorics and LPMC","Nankai University, Tianjin 300071, China"],"affiliations":[{"raw_affiliation_string":"Nankai University, Tianjin 300071, China","institution_ids":["https://openalex.org/I205237279"]},{"raw_affiliation_string":"Center for Combinatorics and LPMC","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100435510","display_name":"Ping Li","orcid":"https://orcid.org/0000-0002-3518-4802"},"institutions":[{"id":"https://openalex.org/I205237279","display_name":"Nankai University","ror":"https://ror.org/01y1kjr75","country_code":"CN","type":"funder","lineage":["https://openalex.org/I205237279"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ping Li","raw_affiliation_strings":["Center for Combinatorics and LPMC","Nankai University, Tianjin 300071, China"],"affiliations":[{"raw_affiliation_string":"Nankai University, Tianjin 300071, China","institution_ids":["https://openalex.org/I205237279"]},{"raw_affiliation_string":"Center for Combinatorics and LPMC","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100365966","display_name":"Xueliang Li","orcid":"https://orcid.org/0000-0002-8335-9873"},"institutions":[{"id":"https://openalex.org/I205237279","display_name":"Nankai University","ror":"https://ror.org/01y1kjr75","country_code":"CN","type":"funder","lineage":["https://openalex.org/I205237279"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xueliang Li","raw_affiliation_strings":["Center for Combinatorics and LPMC","Nankai University, Tianjin 300071, China"],"affiliations":[{"raw_affiliation_string":"Center for Combinatorics and LPMC","institution_ids":[]},{"raw_affiliation_string":"Nankai University, Tianjin 300071, China","institution_ids":["https://openalex.org/I205237279"]}]}],"institution_assertions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":0,"currency":"USD","value_usd":0},"apc_paid":null,"fwci":0.259,"has_fulltext":true,"fulltext_origin":"pdf","cited_by_count":2,"citation_normalized_percentile":{"value":0.52382,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":66,"max":71},"biblio":{"volume":"43","issue":"4","first_page":"1253","last_page":"1253"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9983,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9983,"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/T12288","display_name":"Optimization and Search Problems","score":0.9828,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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":0.9807,"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/indifference-graph","display_name":"Indifference graph","score":0.4650247},{"id":"https://openalex.org/keywords/clique-sum","display_name":"Clique-sum","score":0.4392136}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8886199},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7815041},{"id":"https://openalex.org/C101837359","wikidata":"https://www.wikidata.org/wiki/Q547823","display_name":"Planar graph","level":3,"score":0.5593046},{"id":"https://openalex.org/C160446614","wikidata":"https://www.wikidata.org/wiki/Q1322892","display_name":"Chordal graph","level":3,"score":0.5151183},{"id":"https://openalex.org/C43517604","wikidata":"https://www.wikidata.org/wiki/Q7144893","display_name":"Pathwidth","level":4,"score":0.47823018},{"id":"https://openalex.org/C74133993","wikidata":"https://www.wikidata.org/wiki/Q3115472","display_name":"Indifference graph","level":3,"score":0.4650247},{"id":"https://openalex.org/C102192266","wikidata":"https://www.wikidata.org/wiki/Q4545823","display_name":"1-planar graph","level":4,"score":0.44614947},{"id":"https://openalex.org/C186942658","wikidata":"https://www.wikidata.org/wiki/Q5134410","display_name":"Clique-sum","level":5,"score":0.4392136},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.39591125},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.2169776},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.07745144}],"mesh":[],"locations_count":2,"locations":[{"is_oa":true,"landing_page_url":"https://doi.org/10.7151/dmgt.2428","pdf_url":"https://www.dmgt.uz.zgora.pl/publish/pdf.php?doi=2428","source":{"id":"https://openalex.org/S2738357781","display_name":"Discussiones Mathematicae Graph Theory","issn_l":"1234-3099","issn":["1234-3099","2083-5892"],"is_oa":true,"is_in_doaj":true,"is_indexed_in_scopus":true,"is_core":true,"host_organization":"https://openalex.org/P4310320322","host_organization_name":"De Gruyter Open","host_organization_lineage":["https://openalex.org/P4310320322","https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter Open","De Gruyter"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true},{"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2010.06809","pdf_url":"https://arxiv.org/pdf/2010.06809","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_indexed_in_scopus":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":["Cornell University"],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false}],"best_oa_location":{"is_oa":true,"landing_page_url":"https://doi.org/10.7151/dmgt.2428","pdf_url":"https://www.dmgt.uz.zgora.pl/publish/pdf.php?doi=2428","source":{"id":"https://openalex.org/S2738357781","display_name":"Discussiones Mathematicae Graph Theory","issn_l":"1234-3099","issn":["1234-3099","2083-5892"],"is_oa":true,"is_in_doaj":true,"is_indexed_in_scopus":true,"is_core":true,"host_organization":"https://openalex.org/P4310320322","host_organization_name":"De Gruyter Open","host_organization_lineage":["https://openalex.org/P4310320322","https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter Open","De Gruyter"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true},"sustainable_development_goals":[],"grants":[],"datasets":[],"versions":[],"referenced_works_count":13,"referenced_works":["https://openalex.org/W1898586148","https://openalex.org/W2055242964","https://openalex.org/W2062733831","https://openalex.org/W2263686775","https://openalex.org/W2283651923","https://openalex.org/W2569249955","https://openalex.org/W2963562790","https://openalex.org/W2977370718","https://openalex.org/W3000103806","https://openalex.org/W3028435644","https://openalex.org/W3040599388","https://openalex.org/W3049686409","https://openalex.org/W3146720783"],"related_works":["https://openalex.org/W628145248","https://openalex.org/W4362699105","https://openalex.org/W4287274161","https://openalex.org/W3163002073","https://openalex.org/W2964312866","https://openalex.org/W2766499403","https://openalex.org/W2620008387","https://openalex.org/W2042939975","https://openalex.org/W1970195683","https://openalex.org/W1554245510"],"abstract_inverted_index":{"A":[0],"path":[1,15,46],"in":[2,13,47,92],"an":[3],"edge-colored":[4],"graph":[5,24,51],"is":[6,26,65,130,145],"called":[7,27],"monochromatic":[8,29,45,54,76,156],"if":[9,35,101,143],"all":[10,110,151],"the":[11,14,17,53,66,131],"edges":[12],"have":[16],"same":[18],"color.An":[19],"edge-coloring":[20],"of":[21,39,60,69,83,133],"a":[22,28,44,49,75,146],"connected":[23,42,50],"G":[25,40,73,112,144],"connection":[30,55,77,157],"coloring":[31,78],"(MC-coloring":[32],"for":[33,58],"short)":[34,59],"any":[36],"two":[37],"vertices":[38],"are":[41],"by":[43,63,79,88,154],"G.For":[48],"G,":[52,61],"number":[56,68,82],"(MC-number":[57],"denoted":[62],"mc(G),":[64],"maximum":[67],"colors":[70],"that":[71,95,137],"ensure":[72],"has":[74],"using":[80],"this":[81,106],"colors.This":[84],"concept":[85],"was":[86],"introduced":[87],"Caro":[89],"and":[90,121,149],"Yuster":[91],"2011.They":[93],"proved":[94],"mc(G)":[96,114,122,138],"\u2264":[97,103,139],"mn":[98,116,124,140],"+":[99,117,119,125,141],"k":[100,104],"\u03ba(G)":[102,118,129],"-1.In":[105],"paper":[107],"we":[108],"characterize":[109],"graphs":[111,153],"with":[113],"=":[115,123],"1":[120],"\u03ba(G),":[126],"respectively,":[127],"where":[128],"connectivity":[132],"G.We":[134],"also":[135],"prove":[136],"4":[142],"planar":[147,152],"graph,":[148],"classify":[150],"their":[155],"numbers.":[158]},"abstract_inverted_index_v3":null,"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W3195235912","counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1}],"updated_date":"2025-04-16T19:45:26.059630","created_date":"2021-08-30"}