{"id":"https://openalex.org/W3014978470","doi":"https://doi.org/10.1137/20m1370744","title":"Dense Induced Subgraphs of Dense Bipartite Graphs","display_name":"Dense Induced Subgraphs of Dense Bipartite Graphs","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3014978470","doi":"https://doi.org/10.1137/20m1370744","mag":"3014978470"},"language":"en","primary_location":{"id":"doi:10.1137/20m1370744","is_oa":false,"landing_page_url":"https://doi.org/10.1137/20m1370744","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":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2004.00035","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5027138320","display_name":"Rose McCarty","orcid":"https://orcid.org/0000-0002-9884-3406"},"institutions":[{"id":"https://openalex.org/I151746483","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68","country_code":"CA","type":"education","lineage":["https://openalex.org/I151746483"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Rose McCarty","raw_affiliation_strings":["University of WAterloo"],"affiliations":[{"raw_affiliation_string":"University of WAterloo","institution_ids":["https://openalex.org/I151746483"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5027138320"],"corresponding_institution_ids":["https://openalex.org/I151746483"],"apc_list":null,"apc_paid":null,"fwci":0.6463,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.56313054,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":93},"biblio":{"volume":"35","issue":"2","first_page":"661","last_page":"667"},"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":0.9991999864578247,"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":0.9991999864578247,"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/T12536","display_name":"Topological and Geometric Data Analysis","score":0.9889000058174133,"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":0.9857000112533569,"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/bipartite-graph","display_name":"Bipartite graph","score":0.8745343685150146},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.8577909469604492},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.8575681447982788},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7885236740112305},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.5671204328536987},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5339632630348206},{"id":"https://openalex.org/keywords/induced-subgraph","display_name":"Induced subgraph","score":0.4868625998497009},{"id":"https://openalex.org/keywords/girth","display_name":"Girth (graph theory)","score":0.41479769349098206},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3966646194458008},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.08817720413208008},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.05592074990272522}],"concepts":[{"id":"https://openalex.org/C197657726","wikidata":"https://www.wikidata.org/wiki/Q174733","display_name":"Bipartite graph","level":3,"score":0.8745343685150146},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.8577909469604492},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8575681447982788},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7885236740112305},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.5671204328536987},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5339632630348206},{"id":"https://openalex.org/C2778012994","wikidata":"https://www.wikidata.org/wiki/Q24743362","display_name":"Induced subgraph","level":4,"score":0.4868625998497009},{"id":"https://openalex.org/C2777434295","wikidata":"https://www.wikidata.org/wiki/Q959831","display_name":"Girth (graph theory)","level":2,"score":0.41479769349098206},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3966646194458008},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.08817720413208008},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.05592074990272522},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1137/20m1370744","is_oa":false,"landing_page_url":"https://doi.org/10.1137/20m1370744","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"},{"id":"pmh:oai:arXiv.org:2004.00035","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2004.00035","pdf_url":"https://arxiv.org/pdf/2004.00035","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":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":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":null},{"id":"mag:3014978470","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/2004.00035.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":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":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.2004.00035","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2004.00035","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":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":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2004.00035","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2004.00035","pdf_url":"https://arxiv.org/pdf/2004.00035","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":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":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":null},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3014978470.pdf","grobid_xml":"https://content.openalex.org/works/W3014978470.grobid-xml"},"referenced_works_count":14,"referenced_works":["https://openalex.org/W1444168583","https://openalex.org/W1522791598","https://openalex.org/W1965246637","https://openalex.org/W2027949178","https://openalex.org/W2042135415","https://openalex.org/W2058706196","https://openalex.org/W2070760570","https://openalex.org/W2090746613","https://openalex.org/W2648245838","https://openalex.org/W2786734235","https://openalex.org/W2904645430","https://openalex.org/W2964102969","https://openalex.org/W2999995332","https://openalex.org/W3080973359"],"related_works":["https://openalex.org/W2065306274","https://openalex.org/W2999995332","https://openalex.org/W2952916838","https://openalex.org/W2754599970","https://openalex.org/W1910630822","https://openalex.org/W2768594358","https://openalex.org/W2592868433","https://openalex.org/W2964242048","https://openalex.org/W2972211570","https://openalex.org/W2736575577","https://openalex.org/W2096257156","https://openalex.org/W3101066016","https://openalex.org/W2798872097","https://openalex.org/W2162545545","https://openalex.org/W2963729877","https://openalex.org/W2963687161","https://openalex.org/W3153922932","https://openalex.org/W2803298431","https://openalex.org/W2952907380","https://openalex.org/W2010343794"],"abstract_inverted_index":{"We":[0,30],"prove":[1],"that":[2,32,52],"every":[3],"bipartite":[4],"graph":[5],"of":[6,19,43,47],"sufficiently":[7],"large":[8],"average":[9,20],"degree":[10,21],"has":[11],"either":[12],"a":[13,41],"$K_{t,t}$-subgraph":[14],"or":[15],"an":[16],"induced":[17],"subgraph":[18],"at":[22,27],"least":[23,28],"$t$":[24],"and":[25],"girth":[26],"$6$.":[29],"conjecture":[31,42],"\"$6$\"":[33],"can":[34],"be":[35],"replaced":[36],"by":[37],"\"$k$\",":[38],"which":[39],"strengthens":[40],"Thomassen.":[44],"In":[45],"support":[46],"this":[48],"conjecture,":[49],"we":[50],"show":[51],"it":[53],"holds":[54],"for":[55],"regular":[56],"graphs.":[57]},"counts_by_year":[{"year":2021,"cited_by_count":1}],"updated_date":"2026-03-10T16:38:18.471706","created_date":"2025-10-10T00:00:00"}
