{"id":"https://openalex.org/W4400838821","doi":"https://doi.org/10.1142/s1793830924500642","title":"A note on the Berge\u2013Meyniel conjecture","display_name":"A note on the Berge\u2013Meyniel conjecture","publication_year":2024,"publication_date":"2024-07-19","ids":{"openalex":"https://openalex.org/W4400838821","doi":"https://doi.org/10.1142/s1793830924500642"},"language":"en","primary_location":{"id":"doi:10.1142/s1793830924500642","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830924500642","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/A5113251806","display_name":"Zhimin Wang","orcid":null},"institutions":[{"id":"https://openalex.org/I28006308","display_name":"Shandong Normal University","ror":"https://ror.org/01wy3h363","country_code":"CN","type":"education","lineage":["https://openalex.org/I28006308"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhimin Wang","raw_affiliation_strings":["School of Mathematics and Statistics, Shandong Normal University, Jinan 250358, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Shandong Normal University, Jinan 250358, P. R. China","institution_ids":["https://openalex.org/I28006308"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5076155118","display_name":"Xia Zhang","orcid":"https://orcid.org/0000-0001-6323-2923"},"institutions":[{"id":"https://openalex.org/I28006308","display_name":"Shandong Normal University","ror":"https://ror.org/01wy3h363","country_code":"CN","type":"education","lineage":["https://openalex.org/I28006308"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xia Zhang","raw_affiliation_strings":["School of Mathematics and Statistics, Shandong Normal University, Jinan 250358, P. R. China"],"raw_orcid":"https://orcid.org/0000-0001-6323-2923","affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Shandong Normal University, Jinan 250358, P. R. China","institution_ids":["https://openalex.org/I28006308"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I28006308"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.07991513,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"17","issue":"04","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.878000020980835,"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":0.878000020980835,"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/T11559","display_name":"Retinoids in leukemia and cellular processes","score":0.8690000176429749,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T10308","display_name":"Systemic Lupus Erythematosus Research","score":0.8526999950408936,"subfield":{"id":"https://openalex.org/subfields/2745","display_name":"Rheumatology"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.8595020771026611},{"id":"https://openalex.org/keywords/hypergraph","display_name":"Hypergraph","score":0.8529952764511108},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8279054760932922},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.7456878423690796},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.6560163497924805},{"id":"https://openalex.org/keywords/chromatic-scale","display_name":"Chromatic scale","score":0.49717286229133606},{"id":"https://openalex.org/keywords/edge-coloring","display_name":"Edge coloring","score":0.47087037563323975},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.3970583975315094},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.35236719250679016},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.06731575727462769}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8595020771026611},{"id":"https://openalex.org/C2781221856","wikidata":"https://www.wikidata.org/wiki/Q840247","display_name":"Hypergraph","level":2,"score":0.8529952764511108},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8279054760932922},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.7456878423690796},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.6560163497924805},{"id":"https://openalex.org/C196956537","wikidata":"https://www.wikidata.org/wiki/Q202021","display_name":"Chromatic scale","level":2,"score":0.49717286229133606},{"id":"https://openalex.org/C123809776","wikidata":"https://www.wikidata.org/wiki/Q1050972","display_name":"Edge coloring","level":5,"score":0.47087037563323975},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.3970583975315094},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.35236719250679016},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.06731575727462769},{"id":"https://openalex.org/C149530733","wikidata":"https://www.wikidata.org/wiki/Q5597091","display_name":"Graph power","level":4,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s1793830924500642","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830924500642","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":[{"score":0.4699999988079071,"id":"https://metadata.un.org/sdg/13","display_name":"Climate action"}],"awards":[{"id":"https://openalex.org/G6659929261","display_name":null,"funder_award_id":"12071265","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":7,"referenced_works":["https://openalex.org/W1984375054","https://openalex.org/W1996216893","https://openalex.org/W2009863039","https://openalex.org/W2169821423","https://openalex.org/W2918512158","https://openalex.org/W3044140084","https://openalex.org/W3168462725"],"related_works":["https://openalex.org/W4376608589","https://openalex.org/W1537073411","https://openalex.org/W1948107826","https://openalex.org/W2952498147","https://openalex.org/W1524556636","https://openalex.org/W1988533413","https://openalex.org/W3127534791","https://openalex.org/W4287332249","https://openalex.org/W2558716804","https://openalex.org/W2950817880"],"abstract_inverted_index":{"An":[0],"edge":[1,41],"coloring":[2],"of":[3,23,37,43,75,101,104,110],"hypergraph":[4,58],"[Formula:":[5,16,30,44,59,63,67,84,88,93],"see":[6,17,31,45,60,64,68,85,89,94],"text]":[7,18,32,61,86,95],"is":[8,79],"a":[9,73,117],"color":[10],"assignment":[11],"to":[12,129],"all":[13,40],"edges":[14,25],"in":[15,133],"such":[19],"that":[20,54],"any":[21],"pair":[22],"intersecting":[24],"receive":[26],"different":[27],"colors.":[28],"Let":[29],"denote":[33],"the":[34,102,108,123],"minimum":[35],"number":[36],"colors":[38],"among":[39],"colorings":[42],"text].":[46,69],"In":[47,70],"1985,":[48],"Berge":[49],"and":[50,92,107],"Meyniel,":[51],"independently,":[52],"conjectured":[53],"each":[55],"loopless":[56],"linear":[57],"has":[62],"text],":[65],"where":[66],"this":[71],"paper,":[72],"description":[74],"chromatic":[76],"critical":[77],"hypergraphs":[78,91,106,112,115,127],"given.":[80],"Furthermore,":[81],"we":[82],"show":[83],"for":[87,96],"text]-vertex-restricted":[90],"edge-restricted":[97,111],"hypergraphs.":[98],"Since":[99],"either":[100],"class":[103,109],"1-vertex-restricted":[105],"contains":[113],"well-ordered":[114,126],"as":[116],"subclass,":[118],"our":[119],"results":[120],"strictly":[121],"extend":[122],"one":[124],"on":[125],"due":[128],"Bretto":[130],"et":[131],"al.":[132],"2020.":[134]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
