{"id":"https://openalex.org/W3092941174","doi":"https://doi.org/10.1137/20m1376327","title":"Saturation Problems about Forbidden 0-1 Submatrices","display_name":"Saturation Problems about Forbidden 0-1 Submatrices","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3092941174","doi":"https://doi.org/10.1137/20m1376327","mag":"3092941174"},"language":"en","primary_location":{"id":"doi:10.1137/20m1376327","is_oa":false,"landing_page_url":"https://doi.org/10.1137/20m1376327","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/2010.08256","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5023046493","display_name":"Radoslav Fulek","orcid":"https://orcid.org/0000-0001-8485-1774"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Radoslav Fulek","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5077727901","display_name":"Bal\u00e1zs Keszegh","orcid":"https://orcid.org/0000-0002-3839-5103"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Bal\u00e1zs Keszegh","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5023046493"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.4064,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.58901076,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"35","issue":"3","first_page":"1964","last_page":"1977"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9979000091552734,"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":0.9979000091552734,"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9944999814033508,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9937000274658203,"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/saturation","display_name":"Saturation (graph theory)","score":0.7065709829330444},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6629596948623657},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5815932154655457},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5335593223571777},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5135741233825684},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4848659932613373},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.47333842515945435},{"id":"https://openalex.org/keywords/permutation","display_name":"Permutation (music)","score":0.41787219047546387},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.41155633330345154},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3875746726989746},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.26903295516967773},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1826077699661255},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.16047587990760803}],"concepts":[{"id":"https://openalex.org/C9930424","wikidata":"https://www.wikidata.org/wiki/Q7426587","display_name":"Saturation (graph theory)","level":2,"score":0.7065709829330444},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6629596948623657},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5815932154655457},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5335593223571777},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5135741233825684},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4848659932613373},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.47333842515945435},{"id":"https://openalex.org/C21308566","wikidata":"https://www.wikidata.org/wiki/Q7169365","display_name":"Permutation (music)","level":2,"score":0.41787219047546387},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.41155633330345154},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3875746726989746},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.26903295516967773},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1826077699661255},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.16047587990760803},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","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/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","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/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1137/20m1376327","is_oa":false,"landing_page_url":"https://doi.org/10.1137/20m1376327","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:2010.08256","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2010.08256","pdf_url":"https://arxiv.org/pdf/2010.08256","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":"mag:3092941174","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/2010.08256.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.2010.08256","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2010.08256","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:2010.08256","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2010.08256","pdf_url":"https://arxiv.org/pdf/2010.08256","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/G1196578329","display_name":null,"funder_award_id":"K 132696","funder_id":"https://openalex.org/F4320336675","funder_display_name":"National Research, Development and Innovation Office"},{"id":"https://openalex.org/G1748000517","display_name":null,"funder_award_id":"NKFIH","funder_id":"https://openalex.org/F4320336675","funder_display_name":"National Research, Development and Innovation Office"},{"id":"https://openalex.org/G3094431478","display_name":null,"funder_award_id":"Lend\u00fclet","funder_id":"https://openalex.org/F4320322192","funder_display_name":"Magyar Tudom\u00e1nyos Akad\u00e9mia"},{"id":"https://openalex.org/G3291696148","display_name":null,"funder_award_id":"Lend\u00fc","funder_id":"https://openalex.org/F4320322192","funder_display_name":"Magyar Tudom\u00e1nyos Akad\u00e9mia"},{"id":"https://openalex.org/G3633467406","display_name":null,"funder_award_id":"K 132696","funder_id":"https://openalex.org/F4320326762","funder_display_name":"Nemzeti Kutat\u00e1si Fejleszt\u00e9si \u00e9s Innov\u00e1ci\u00f3s Hivatal"},{"id":"https://openalex.org/G8533160572","display_name":null,"funder_award_id":"LP2017-19/2017","funder_id":"https://openalex.org/F4320322192","funder_display_name":"Magyar Tudom\u00e1nyos Akad\u00e9mia"},{"id":"https://openalex.org/G8550484722","display_name":null,"funder_award_id":"132696","funder_id":"https://openalex.org/F4320326762","funder_display_name":"Nemzeti Kutat\u00e1si Fejleszt\u00e9si \u00e9s Innov\u00e1ci\u00f3s Hivatal"}],"funders":[{"id":"https://openalex.org/F4320322192","display_name":"Magyar Tudom\u00e1nyos Akad\u00e9mia","ror":"https://ror.org/02ks8qq67"},{"id":"https://openalex.org/F4320326762","display_name":"Nemzeti Kutat\u00e1si Fejleszt\u00e9si \u00e9s Innov\u00e1ci\u00f3s Hivatal","ror":null},{"id":"https://openalex.org/F4320336675","display_name":"National Research, Development and Innovation Office","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W1913858864","https://openalex.org/W1981663372","https://openalex.org/W1990490082","https://openalex.org/W1992511794","https://openalex.org/W1992585484","https://openalex.org/W2007311757","https://openalex.org/W2025410851","https://openalex.org/W2037022974","https://openalex.org/W2060876340","https://openalex.org/W2061475873","https://openalex.org/W2063372577","https://openalex.org/W2069400461","https://openalex.org/W2080876227","https://openalex.org/W2091015960","https://openalex.org/W2101850362","https://openalex.org/W2576813251","https://openalex.org/W2964325648","https://openalex.org/W3009260386","https://openalex.org/W3015431743","https://openalex.org/W3021621627","https://openalex.org/W3032777671","https://openalex.org/W3135303697"],"related_works":["https://openalex.org/W3196986336","https://openalex.org/W3021621627","https://openalex.org/W2091015960","https://openalex.org/W1967026974","https://openalex.org/W2060876340","https://openalex.org/W2605759486","https://openalex.org/W2921586192","https://openalex.org/W2158258117","https://openalex.org/W1056392526","https://openalex.org/W2156954419","https://openalex.org/W2464245282","https://openalex.org/W2026142726","https://openalex.org/W2508707188","https://openalex.org/W3090517330","https://openalex.org/W2036360655","https://openalex.org/W2800810841","https://openalex.org/W1967208150","https://openalex.org/W2917125967","https://openalex.org/W2108857231","https://openalex.org/W2952441146"],"abstract_inverted_index":{"A":[0],"$0$-$1$":[1,8,51,110,123,212],"matrix":[2,9,69,125,172,190],"$M$":[3,12,40],"is":[4,71,167,234],"saturating":[5,72,144],"for":[6,50,73,90],"a":[7,16,43,149,153,186,200],"$P$":[10,23],"if":[11],"does":[13],"not":[14],"contain":[15],"submatrix":[17,44],"that":[18,70,121],"can":[19],"be":[20],"turned":[21],"into":[22],"by":[24,156,174,199,207],"changing":[25,33],"some":[26],"$1$":[27,38,62],"entries":[28,63],"to":[29,37,86,142,152],"$0$":[30,36],"entries,":[31],"and":[32,79,98,158],"an":[34,65],"arbitrary":[35],"in":[39,45,56,64,75,106,116,131,135],"introduces":[41],"such":[42],"$M$.":[46],"In":[47,81],"saturation":[48,92,104,128,162,193,216],"problems":[49,105],"matrices":[52,213],"we":[53,84,139,147,184,219],"are":[54],"interested":[55],"estimating":[57],"the":[58,91,101,107,136,161,170,176,180,192,197,222,229],"minimum":[59],"number":[60],"of":[61,77,94,103,109,164,211],"$m":[66],"\\times":[67],"n$":[68],"$P$,":[74],"terms":[76],"$m$":[78],"$n$.":[80],"other":[82],"words,":[83],"wish":[85],"give":[87,148],"good":[88],"estimates":[89],"function":[93,129,163,194],"$P$.":[95],"Recently,":[96],"Brualdi":[97,157],"Cao":[99,159],"initiated":[100],"study":[102],"context":[108],"matrices.":[111,145],"We":[112,119,203],"extend":[113],"their":[114],"work":[115],"several":[117],"directions.":[118],"prove":[120],"every":[122],"forbidden":[124],"has":[126],"its":[127],"either":[130],"$\u0398(1)$":[132],"or":[133],"$\u0398(n)$":[134],"case":[137],"when":[138],"restrict":[140],"ourselves":[141],"square":[143],"Then":[146],"partial":[150],"answer":[151],"question":[154],"posed":[155],"about":[160],"$J_k$,":[165],"which":[166],"obtained":[168],"from":[169,196],"identity":[171],"$I_k$":[173],"putting":[175],"first":[177],"row":[178],"after":[179],"last":[181],"row.":[182],"Furthermore,":[183],"exhibit":[185],"$5\\times":[187],"5$":[188],"permutation":[189],"with":[191,214],"bounded":[195],"above":[198],"fixed":[201],"constant.":[202],"complement":[204],"this":[205],"result":[206],"identifying":[208],"large":[209],"classes":[210],"linear":[215,232],"function.":[217],"Finally,":[218],"completely":[220],"resolve":[221],"related":[223],"semisaturation":[224],"problem":[225],"as":[226,228],"far":[227],"constant":[230],"vs.":[231],"dichotomy":[233],"concerned.":[235]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":1}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}
