{"id":"https://openalex.org/W2962859276","doi":"https://doi.org/10.1137/140960888","title":"Decomposition of Random Graphs into Complete Bipartite Graphs","display_name":"Decomposition of Random Graphs into Complete Bipartite Graphs","publication_year":2016,"publication_date":"2016-01-01","ids":{"openalex":"https://openalex.org/W2962859276","doi":"https://doi.org/10.1137/140960888","mag":"2962859276"},"language":"en","primary_location":{"id":"doi:10.1137/140960888","is_oa":false,"landing_page_url":"https://doi.org/10.1137/140960888","pdf_url":null,"source":{"id":"https://openalex.org/S117679221","display_name":"SIAM Journal on Discrete Mathematics","issn_l":"0895-4801","issn":["0895-4801","1095-7146"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Discrete Mathematics","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/A5113657664","display_name":"Fan Chung","orcid":"https://orcid.org/0000-0002-6553-7402"},"institutions":[{"id":"https://openalex.org/I36258959","display_name":"University of California, San Diego","ror":"https://ror.org/0168r3w48","country_code":"US","type":"education","lineage":["https://openalex.org/I36258959"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Fan Chung","raw_affiliation_strings":["University of California\u2014San Diego"],"affiliations":[{"raw_affiliation_string":"University of California\u2014San Diego","institution_ids":["https://openalex.org/I36258959"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5064082253","display_name":"Xing Peng","orcid":"https://orcid.org/0000-0002-6177-3715"},"institutions":[{"id":"https://openalex.org/I36258959","display_name":"University of California, San Diego","ror":"https://ror.org/0168r3w48","country_code":"US","type":"education","lineage":["https://openalex.org/I36258959"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Xing Peng","raw_affiliation_strings":["University of California\u2014San Diego"],"affiliations":[{"raw_affiliation_string":"University of California\u2014San Diego","institution_ids":["https://openalex.org/I36258959"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5113657664"],"corresponding_institution_ids":["https://openalex.org/I36258959"],"apc_list":null,"apc_paid":null,"fwci":2.0257,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.86371593,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"30","issue":"1","first_page":"296","last_page":"310"},"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":0.998199999332428,"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":0.998199999332428,"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/T11476","display_name":"Graph theory and applications","score":0.9782999753952026,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9588000178337097,"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/combinatorics","display_name":"Combinatorics","score":0.8701653480529785},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.845923900604248},{"id":"https://openalex.org/keywords/bipartite-graph","display_name":"Bipartite graph","score":0.8052021861076355},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5264626145362854},{"id":"https://openalex.org/keywords/disjoint-sets","display_name":"Disjoint sets","score":0.5144937038421631},{"id":"https://openalex.org/keywords/complete-bipartite-graph","display_name":"Complete bipartite graph","score":0.4854924976825714},{"id":"https://openalex.org/keywords/random-graph","display_name":"Random graph","score":0.4800490140914917},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4350612759590149}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8701653480529785},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.845923900604248},{"id":"https://openalex.org/C197657726","wikidata":"https://www.wikidata.org/wiki/Q174733","display_name":"Bipartite graph","level":3,"score":0.8052021861076355},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5264626145362854},{"id":"https://openalex.org/C45340560","wikidata":"https://www.wikidata.org/wiki/Q215382","display_name":"Disjoint sets","level":2,"score":0.5144937038421631},{"id":"https://openalex.org/C134119311","wikidata":"https://www.wikidata.org/wiki/Q913598","display_name":"Complete bipartite graph","level":4,"score":0.4854924976825714},{"id":"https://openalex.org/C47458327","wikidata":"https://www.wikidata.org/wiki/Q910404","display_name":"Random graph","level":3,"score":0.4800490140914917},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4350612759590149}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/140960888","is_oa":false,"landing_page_url":"https://doi.org/10.1137/140960888","pdf_url":null,"source":{"id":"https://openalex.org/S117679221","display_name":"SIAM Journal on Discrete Mathematics","issn_l":"0895-4801","issn":["0895-4801","1095-7146"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Discrete Mathematics","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":14,"referenced_works":["https://openalex.org/W1964610196","https://openalex.org/W1967237366","https://openalex.org/W1992040566","https://openalex.org/W1999678910","https://openalex.org/W2027939060","https://openalex.org/W2029938155","https://openalex.org/W2036811773","https://openalex.org/W2045472305","https://openalex.org/W2053898220","https://openalex.org/W2071165444","https://openalex.org/W2112575355","https://openalex.org/W2785506964","https://openalex.org/W2953075938","https://openalex.org/W3149604617"],"related_works":["https://openalex.org/W3105144174","https://openalex.org/W2003436364","https://openalex.org/W4285546035","https://openalex.org/W3119048199","https://openalex.org/W1785707220","https://openalex.org/W2127892986","https://openalex.org/W4231567075","https://openalex.org/W2469112301","https://openalex.org/W1998850476","https://openalex.org/W2224493628"],"abstract_inverted_index":{"We":[0,23],"consider":[1],"the":[2,6,14],"problem":[3],"of":[4,9,18],"partitioning":[5],"edge":[7],"set":[8],"a":[10,27,36],"graph":[11,29],"$G$":[12,30],"into":[13],"minimum":[15],"number":[16],"$\\tau(G)$":[17,45],"edge-disjoint":[19],"complete":[20],"bipartite":[21],"subgraphs.":[22],"show":[24],"that":[25],"for":[26,56],"random":[28],"in":[31],"$G(n,p)$,":[32],"where":[33],"$p$":[34],"is":[35,46],"constant":[37],"no":[38],"greater":[39],"than":[40],"$1/2$,":[41],"asymptotically":[42],"almost":[43],"surely":[44],"between":[47],"$n-":[48],"c(\\log_{1/p}":[49],"n)^{3+\\epsilon}$":[50],"and":[51,61],"$n":[52],"-":[53],"(2+o(1))\\log_{1/(1-p)}":[54],"n$":[55],"any":[57],"positive":[58],"constants":[59],"$c$":[60],"$\\epsilon$.":[62]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2014,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
