{"id":"https://openalex.org/W4224211072","doi":"https://doi.org/10.1142/s1793830922500999","title":"The size multipartite Ramsey numbers mj(C3,C3,nK2,mK2)","display_name":"The size multipartite Ramsey numbers mj(C3,C3,nK2,mK2)","publication_year":2022,"publication_date":"2022-04-19","ids":{"openalex":"https://openalex.org/W4224211072","doi":"https://doi.org/10.1142/s1793830922500999"},"language":"en","primary_location":{"id":"doi:10.1142/s1793830922500999","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830922500999","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/A5079719299","display_name":"Yaser Rowshan","orcid":null},"institutions":[{"id":"https://openalex.org/I161028277","display_name":"Institute for Advanced Studies in Basic Sciences","ror":"https://ror.org/00bzsst90","country_code":"IR","type":"education","lineage":["https://openalex.org/I161028277"]}],"countries":["IR"],"is_corresponding":true,"raw_author_name":"Yaser Rowshan","raw_affiliation_strings":["Department of Mathematics, Institute for Advanced Studies in Basic Sciences (IASBS), Zanjan 66731-45137, Iran"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Institute for Advanced Studies in Basic Sciences (IASBS), Zanjan 66731-45137, Iran","institution_ids":["https://openalex.org/I161028277"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5064208955","display_name":"Mostafa Gholami","orcid":null},"institutions":[{"id":"https://openalex.org/I161028277","display_name":"Institute for Advanced Studies in Basic Sciences","ror":"https://ror.org/00bzsst90","country_code":"IR","type":"education","lineage":["https://openalex.org/I161028277"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Mostafa Gholami","raw_affiliation_strings":["Department of Mathematics, Institute for Advanced Studies in Basic Sciences (IASBS), Zanjan 66731-45137, Iran"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Institute for Advanced Studies in Basic Sciences (IASBS), Zanjan 66731-45137, Iran","institution_ids":["https://openalex.org/I161028277"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5079719299"],"corresponding_institution_ids":["https://openalex.org/I161028277"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.13187588,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"15","issue":"03","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9994999766349792,"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"}},"topics":[{"id":"https://openalex.org/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9994999766349792,"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"}},{"id":"https://openalex.org/T11151","display_name":"Advanced Topology and Set Theory","score":0.998199999332428,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9952999949455261,"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/multipartite","display_name":"Multipartite","score":0.7292106747627258},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.38135457038879395},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.25269442796707153},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.09736892580986023}],"concepts":[{"id":"https://openalex.org/C166733315","wikidata":"https://www.wikidata.org/wiki/Q6934831","display_name":"Multipartite","level":4,"score":0.7292106747627258},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.38135457038879395},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.25269442796707153},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.09736892580986023},{"id":"https://openalex.org/C121040770","wikidata":"https://www.wikidata.org/wiki/Q215675","display_name":"Quantum entanglement","level":3,"score":0.0},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s1793830922500999","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830922500999","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":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W1532010022","https://openalex.org/W1968181001","https://openalex.org/W2137126986","https://openalex.org/W2137723291","https://openalex.org/W2199358725","https://openalex.org/W2531421428","https://openalex.org/W2605888188","https://openalex.org/W2807373085","https://openalex.org/W2963205369","https://openalex.org/W3151955019","https://openalex.org/W4234441112"],"related_works":["https://openalex.org/W2952287968","https://openalex.org/W2094758646","https://openalex.org/W1606665185","https://openalex.org/W2056683690","https://openalex.org/W2347515247","https://openalex.org/W2143516466","https://openalex.org/W2950685989","https://openalex.org/W2085437413","https://openalex.org/W1979597421","https://openalex.org/W3102941179"],"abstract_inverted_index":{"Assume":[0],"that":[1,45],"[Formula:":[2,26,34,41,48,51,58,61,69,76,83,87,94,98,102,110,114,118,141,146,154,159,164],"see":[3,27,35,42,49,52,59,62,70,77,84,88,95,99,103,111,115,119,142,147,155,160,165],"text]":[4,53,63,71,85,96,100,112,116,120,143,156],"is":[5,37],"a":[6,65],"complete,":[7],"and":[8,16,101,105,117,149,162],"multipartite":[9,30],"graph":[10],"consisting":[11],"of":[12,54,57,68,81,92,108,152],"j":[13],"partite":[14,21],"sets":[15],"n":[17],"vertices":[18],"in":[19,124],"each":[20,145,163],"set.":[22],"For":[23],"given":[24],"graphs":[25],"text],":[28,36,43,60,89,104,148,161],"the":[29,38,55,90,106,139],"Ramsey":[31],"number":[32],"(M-R-number)":[33],"smallest":[39],"integer":[40],"such":[44],"for":[46,72,86,97,113,138,144,157],"any":[47],"text]-edge-coloring":[50],"edges":[56],"contains":[64],"monochromatic":[66],"copy":[67],"at":[73],"least":[74],"one":[75],"text].":[78,166],"The":[79],"size":[80,91,107],"M-R-number":[82,93,109,140,153],"have":[121],"been":[122],"computed":[123],"several":[125],"papers":[126],"up":[127],"to":[128],"now.":[129],"In":[130],"this":[131],"paper,":[132],"we":[133],"determine":[134],"some":[135,150,158],"lower":[136],"bounds":[137],"values":[151]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}