{"id":"https://openalex.org/W2921586192","doi":"https://doi.org/10.1137/19m125786x","title":"Large Homogeneous Submatrices","display_name":"Large Homogeneous Submatrices","publication_year":2020,"publication_date":"2020-01-01","ids":{"openalex":"https://openalex.org/W2921586192","doi":"https://doi.org/10.1137/19m125786x","mag":"2921586192"},"language":"en","primary_location":{"id":"doi:10.1137/19m125786x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/19m125786x","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/1903.06608","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5084541652","display_name":"D\u00e1niel Kor\u00e1ndi","orcid":"https://orcid.org/0000-0002-3975-0787"},"institutions":[{"id":"https://openalex.org/I40120149","display_name":"University of Oxford","ror":"https://ror.org/052gg0110","country_code":"GB","type":"education","lineage":["https://openalex.org/I40120149"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"D\u00e1niel Kor\u00e1ndi","raw_affiliation_strings":["University of Oxford"],"raw_orcid":"https://orcid.org/0000-0002-3975-0787","affiliations":[{"raw_affiliation_string":"University of Oxford","institution_ids":["https://openalex.org/I40120149"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5032398271","display_name":"J\u00e1nos Pach","orcid":"https://orcid.org/0000-0002-2389-2035"},"institutions":[{"id":"https://openalex.org/I102475099","display_name":"Sup\u00e9lec","ror":"https://ror.org/00n7gwn90","country_code":"FR","type":"education","lineage":["https://openalex.org/I102475099"]},{"id":"https://openalex.org/I15196421","display_name":"University of Applied Sciences and Arts of Southern Switzerland","ror":"https://ror.org/05ep8g269","country_code":"CH","type":"education","lineage":["https://openalex.org/I15196421"]},{"id":"https://openalex.org/I4210102264","display_name":"Shandong University of Political Science and Law","ror":"https://ror.org/01b2j5886","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210102264"]}],"countries":["CH","CN","FR"],"is_corresponding":false,"raw_author_name":"J\u00e1nos Pach","raw_affiliation_strings":["New York University<sup>**</sup>"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"New York University<sup>**</sup>","institution_ids":["https://openalex.org/I15196421","https://openalex.org/I4210102264","https://openalex.org/I102475099"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5040332950","display_name":"Istv\u00e1n Tomon","orcid":"https://orcid.org/0000-0001-8344-3592"},"institutions":[{"id":"https://openalex.org/I35440088","display_name":"ETH Zurich","ror":"https://ror.org/05a28rw58","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I35440088"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Istv\u00e1n Tomon","raw_affiliation_strings":["ETH Z\u00fcrich"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ETH Z\u00fcrich","institution_ids":["https://openalex.org/I35440088"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.7285,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.75587981,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"34","issue":"4","first_page":"2532","last_page":"2552"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9997000098228455,"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":0.9997000098228455,"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/T11476","display_name":"Graph theory and applications","score":0.9994000196456909,"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/T11797","display_name":"graph theory and CDMA systems","score":0.9983999729156494,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/homogeneous","display_name":"Homogeneous","score":0.7713297009468079},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7679460644721985},{"id":"https://openalex.org/keywords/bipartite-graph","display_name":"Bipartite graph","score":0.7097233533859253},{"id":"https://openalex.org/keywords/block-matrix","display_name":"Block matrix","score":0.6968873739242554},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6225807666778564},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.6194499135017395},{"id":"https://openalex.org/keywords/string","display_name":"String (physics)","score":0.537116289138794},{"id":"https://openalex.org/keywords/zero","display_name":"Zero (linguistics)","score":0.5284098386764526},{"id":"https://openalex.org/keywords/block","display_name":"Block (permutation group theory)","score":0.5278593897819519},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.5187985301017761},{"id":"https://openalex.org/keywords/characterization","display_name":"Characterization (materials science)","score":0.4290412962436676},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3960978388786316},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.21540215611457825},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1708488166332245},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.13146761059761047}],"concepts":[{"id":"https://openalex.org/C66882249","wikidata":"https://www.wikidata.org/wiki/Q169336","display_name":"Homogeneous","level":2,"score":0.7713297009468079},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7679460644721985},{"id":"https://openalex.org/C197657726","wikidata":"https://www.wikidata.org/wiki/Q174733","display_name":"Bipartite graph","level":3,"score":0.7097233533859253},{"id":"https://openalex.org/C85817219","wikidata":"https://www.wikidata.org/wiki/Q884772","display_name":"Block matrix","level":3,"score":0.6968873739242554},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6225807666778564},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.6194499135017395},{"id":"https://openalex.org/C157486923","wikidata":"https://www.wikidata.org/wiki/Q1376436","display_name":"String (physics)","level":2,"score":0.537116289138794},{"id":"https://openalex.org/C2780813799","wikidata":"https://www.wikidata.org/wiki/Q3274237","display_name":"Zero (linguistics)","level":2,"score":0.5284098386764526},{"id":"https://openalex.org/C2777210771","wikidata":"https://www.wikidata.org/wiki/Q4927124","display_name":"Block (permutation group theory)","level":2,"score":0.5278593897819519},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.5187985301017761},{"id":"https://openalex.org/C2780841128","wikidata":"https://www.wikidata.org/wiki/Q5073781","display_name":"Characterization (materials science)","level":2,"score":0.4290412962436676},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3960978388786316},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.21540215611457825},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1708488166332245},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.13146761059761047},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.0},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1137/19m125786x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/19m125786x","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:1903.06608","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1903.06608","pdf_url":"https://arxiv.org/pdf/1903.06608","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":"text"},{"id":"doi:10.48550/arxiv.1903.06608","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1903.06608","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"},{"id":"mag:2921586192","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":null}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1903.06608","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1903.06608","pdf_url":"https://arxiv.org/pdf/1903.06608","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":"text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2104904450","display_name":null,"funder_award_id":"KKP-133864","funder_id":"https://openalex.org/F4320335908","funder_display_name":"Nemzeti Kutat\u00e1si, Fejleszt\u00e9si \u00e9s Innovaci\u00f3s Alap"},{"id":"https://openalex.org/G4865485715","display_name":null,"funder_award_id":"200021-175573","funder_id":"https://openalex.org/F4320320924","funder_display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung"},{"id":"https://openalex.org/G5288383318","display_name":null,"funder_award_id":"075-15-2019-1926","funder_id":"https://openalex.org/F4320321912","funder_display_name":"Ministry of Education and Science of the Russian Federation"},{"id":"https://openalex.org/G7575726795","display_name":null,"funder_award_id":"Z342-N31","funder_id":"https://openalex.org/F4320321181","funder_display_name":"Austrian Science Fund"}],"funders":[{"id":"https://openalex.org/F4320320924","display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung","ror":"https://ror.org/00yjd3n13"},{"id":"https://openalex.org/F4320321181","display_name":"Austrian Science Fund","ror":"https://ror.org/013tf3c58"},{"id":"https://openalex.org/F4320321912","display_name":"Ministry of Education and Science of the Russian Federation","ror":"https://ror.org/00ghqgy32"},{"id":"https://openalex.org/F4320335908","display_name":"Nemzeti Kutat\u00e1si, Fejleszt\u00e9si \u00e9s Innovaci\u00f3s Alap","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W1502643917","https://openalex.org/W1556771345","https://openalex.org/W1598186826","https://openalex.org/W1965109958","https://openalex.org/W1968148694","https://openalex.org/W1976427966","https://openalex.org/W1984080039","https://openalex.org/W2000180600","https://openalex.org/W2007044730","https://openalex.org/W2007311757","https://openalex.org/W2034523320","https://openalex.org/W2037022974","https://openalex.org/W2047230132","https://openalex.org/W2061475873","https://openalex.org/W2062920840","https://openalex.org/W2069089810","https://openalex.org/W2079887842","https://openalex.org/W2083371178","https://openalex.org/W2090094212","https://openalex.org/W2091015960","https://openalex.org/W2105912565","https://openalex.org/W2136450834","https://openalex.org/W2154919605","https://openalex.org/W2163407691","https://openalex.org/W2892310954","https://openalex.org/W2892534236","https://openalex.org/W2893140165","https://openalex.org/W2913714766","https://openalex.org/W2964325648","https://openalex.org/W3082032630","https://openalex.org/W3121966787"],"related_works":["https://openalex.org/W1967026974","https://openalex.org/W2007044730","https://openalex.org/W2158258117","https://openalex.org/W1999285199","https://openalex.org/W1056392526","https://openalex.org/W2060876340","https://openalex.org/W2895947321","https://openalex.org/W3090517330","https://openalex.org/W2080527130","https://openalex.org/W2151659373","https://openalex.org/W3036983409","https://openalex.org/W2467457048","https://openalex.org/W1968430243","https://openalex.org/W1990502716","https://openalex.org/W2253470506","https://openalex.org/W1596352804","https://openalex.org/W2950922078","https://openalex.org/W1979435176","https://openalex.org/W2464245282","https://openalex.org/W3021154954"],"abstract_inverted_index":{"A":[0],"matrix":[1,18,31],"is":[2,20],"homogeneous":[3,46,79],"if":[4,26],"all":[5],"of":[6,60],"its":[7],"entries":[8],"are":[9],"equal.":[10],"Let":[11],"$P$":[12,36,63,72],"be":[13],"a":[14,38,43,49],"$2\\times":[15],"2$":[16],"zero-one":[17,30],"that":[19,25,70],"not":[21,34],"homogeneous.":[22],"We":[23,53,81],"prove":[24],"an":[27,56,76],"$n\\times":[28],"n$":[29],"$A$":[32,41,74],"does":[33],"contain":[35],"as":[37],"submatrix,":[39],"then":[40],"has":[42],"$cn\\times":[44],"cn$":[45],"submatrix":[47],"for":[48],"suitable":[50],"constant":[51],"$c>0$.":[52],"further":[54],"provide":[55],"almost":[57],"complete":[58],"characterization":[59],"the":[61],"matrices":[62],"(missing":[64],"only":[65],"finitely":[66],"many":[67],"cases)":[68],"such":[69],"forbidding":[71],"in":[73],"guarantees":[75],"$n^{1-o(1)}\\times":[77],"n^{1-o(1)}$":[78],"submatrix.":[80],"apply":[82],"our":[83],"results":[84],"to":[85],"chordal":[86],"bipartite":[87],"graphs,":[88],"totally":[89],"balanced":[90],"matrices,":[91],"halfplane":[92],"arrangements,":[93],"and":[94],"string":[95],"graphs.":[96]},"counts_by_year":[{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
