{"id":"https://openalex.org/W1543709120","doi":"https://doi.org/10.37236/2166","title":"Forbidden Submatrices: Some New Bounds and Constructions","display_name":"Forbidden Submatrices: Some New Bounds and Constructions","publication_year":2013,"publication_date":"2013-01-14","ids":{"openalex":"https://openalex.org/W1543709120","doi":"https://doi.org/10.37236/2166","mag":"1543709120"},"language":"en","primary_location":{"id":"doi:10.37236/2166","is_oa":true,"landing_page_url":"https://doi.org/10.37236/2166","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v20i1p5/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v20i1p5/pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5031068407","display_name":"R.P. Anstee","orcid":"https://orcid.org/0000-0003-3187-6657"},"institutions":[{"id":"https://openalex.org/I4210139194","display_name":"Universidad Braulio Carrillo","ror":"https://ror.org/041zaaf26","country_code":"CR","type":"education","lineage":["https://openalex.org/I4210139194"]}],"countries":["CR"],"is_corresponding":true,"raw_author_name":"R.P. Anstee","raw_affiliation_strings":["Mathematics Department\r\nUBC","Mathematics Department#R##N#UBC"],"affiliations":[{"raw_affiliation_string":"Mathematics Department\r\nUBC","institution_ids":["https://openalex.org/I4210139194"]},{"raw_affiliation_string":"Mathematics Department#R##N#UBC","institution_ids":["https://openalex.org/I4210139194"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5050443145","display_name":"Ruiyuan Chen","orcid":"https://orcid.org/0000-0002-5891-8717"},"institutions":[{"id":"https://openalex.org/I4210139194","display_name":"Universidad Braulio Carrillo","ror":"https://ror.org/041zaaf26","country_code":"CR","type":"education","lineage":["https://openalex.org/I4210139194"]}],"countries":["CR"],"is_corresponding":false,"raw_author_name":"Ruiyuan Chen","raw_affiliation_strings":["Mathematics Department\r\nUBC","Mathematics Department#R##N#UBC"],"affiliations":[{"raw_affiliation_string":"Mathematics Department\r\nUBC","institution_ids":["https://openalex.org/I4210139194"]},{"raw_affiliation_string":"Mathematics Department#R##N#UBC","institution_ids":["https://openalex.org/I4210139194"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5031068407"],"corresponding_institution_ids":["https://openalex.org/I4210139194"],"apc_list":null,"apc_paid":null,"fwci":0.4798,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.67243066,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"20","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9991999864578247,"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":0.9991999864578247,"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/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9987000226974487,"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/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.996399998664856,"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":0.9050136208534241},{"id":"https://openalex.org/keywords/hypergraph","display_name":"Hypergraph","score":0.8643301129341125},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7718758583068848},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.5911948084831238},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.5595744252204895},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.5469146966934204},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4919109344482422},{"id":"https://openalex.org/keywords/block-matrix","display_name":"Block matrix","score":0.4155636727809906},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3344128131866455},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.1810307800769806},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.14023521542549133},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.0780082643032074}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.9050136208534241},{"id":"https://openalex.org/C2781221856","wikidata":"https://www.wikidata.org/wiki/Q840247","display_name":"Hypergraph","level":2,"score":0.8643301129341125},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7718758583068848},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.5911948084831238},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5595744252204895},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.5469146966934204},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4919109344482422},{"id":"https://openalex.org/C85817219","wikidata":"https://www.wikidata.org/wiki/Q884772","display_name":"Block matrix","level":3,"score":0.4155636727809906},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3344128131866455},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.1810307800769806},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.14023521542549133},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.0780082643032074},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"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/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","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/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.37236/2166","is_oa":true,"landing_page_url":"https://doi.org/10.37236/2166","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v20i1p5/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.37236/2166","is_oa":true,"landing_page_url":"https://doi.org/10.37236/2166","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v20i1p5/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G6358621934","display_name":null,"funder_award_id":"NSERC USRA","funder_id":"https://openalex.org/F4320334593","funder_display_name":"Natural Sciences and Engineering Research Council of Canada"}],"funders":[{"id":"https://openalex.org/F4320318328","display_name":"Universities Space Research Association","ror":"https://ror.org/043pgqy52"},{"id":"https://openalex.org/F4320334593","display_name":"Natural Sciences and Engineering Research Council of Canada","ror":"https://ror.org/01h531d29"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1543709120.pdf","grobid_xml":"https://content.openalex.org/works/W1543709120.grobid-xml"},"referenced_works_count":7,"referenced_works":["https://openalex.org/W1598186826","https://openalex.org/W1976427966","https://openalex.org/W2021769154","https://openalex.org/W2069400461","https://openalex.org/W2083371178","https://openalex.org/W2913796054","https://openalex.org/W4240108823"],"related_works":["https://openalex.org/W2611130496","https://openalex.org/W2964184729","https://openalex.org/W4300656036","https://openalex.org/W1995891825","https://openalex.org/W1984430553","https://openalex.org/W3033252460","https://openalex.org/W4251679243","https://openalex.org/W2360264057","https://openalex.org/W1995893205","https://openalex.org/W2320216381"],"abstract_inverted_index":{"We":[0,69,152,174],"explore":[1],"an":[2,65],"extremal":[3],"hypergraph":[4,17,29,54],"problem":[5],"for":[6,157,162],"which":[7,99],"both":[8,45],"the":[9,92,108],"vertices":[10,35,60],"and":[11,50,116,139,161],"edges":[12,26,57],"are":[13],"ordered.":[14],"Given":[15,84],"a":[16,27,42,71,78,85,105,169],"$F$":[18,40,103,125,145],"(not":[19],"necessarily":[20],"simple),":[21],"we":[22,88],"consider":[23],"how":[24],"many":[25],"simple":[28,74,96],"(no":[30],"repeated":[31,82],"edges)":[32],"on":[33,58],"$m$":[34,59],"can":[36,61],"have":[37,47,102,141],"while":[38],"forbidding":[39],"as":[41,64,91,104],"subhypergraph":[43],"where":[44,133],"hypergraphs":[46],"fixed":[48],"vertex":[49],"edge":[51],"orderings.":[52],"A":[53],"of":[55,107,110,171],"$n$":[56],"be":[62],"encoded":[63],"$m\\times":[66],"n$":[67],"(0,1)-matrix.":[68],"say":[70],"matrix":[72],"is":[73,77,121,126,131,146,150,155],"if":[75,124,144],"it":[76],"(0,1)-matrix":[79,86],"with":[80],"no":[81],"columns.":[83],"$F$,":[87],"define":[89],"${\\hbox{fs}}(m,F)$":[90,130,149,154],"maximum,":[93],"over":[94],"all":[95],"matrices":[97],"$A$":[98],"do":[100],"not":[101],"submatrix,":[106],"number":[109],"columns":[111],"in":[112],"$A$.":[113],"The":[114,166],"row":[115],"column":[117],"order":[118],"matter.":[119],"It":[120],"known":[122],"that":[123,143],"$k\\times":[127],"\\ell$":[128],"then":[129,148],"$O(m^{2k-1-\\epsilon})$":[132],"$\\epsilon=(k-1)/(13\\log_2":[134],"\\ell)$.":[135],"Anstee,":[136],"Frankl,":[137],"F\u00fcredi":[138],"Pach":[140],"conjectured":[142],"$k$-rowed,":[147],"$O(m^k)$.":[151],"show":[153],"$O(m^2)$":[156],"$F=":[158,163],"\\left[{1\\,0\\,1\\,0\\,1\\atop":[159,164],"0\\,1\\,0\\,1\\,0}\\cdots\\right]$":[160],"1\\,0\\,1\\,0\\,1}\\cdots\\right]$.":[165],"proofs":[167],"use":[168],"type":[170],"amortized":[172],"analysis.":[173],"also":[175],"give":[176],"some":[177],"constructions.":[178]},"counts_by_year":[{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}