{"id":"https://openalex.org/W2805372100","doi":"https://doi.org/10.1145/3322817","title":"On Minrank and Forbidden Subgraphs","display_name":"On Minrank and Forbidden Subgraphs","publication_year":2019,"publication_date":"2019-05-07","ids":{"openalex":"https://openalex.org/W2805372100","doi":"https://doi.org/10.1145/3322817","mag":"2805372100"},"language":"en","primary_location":{"id":"doi:10.1145/3322817","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3322817","pdf_url":null,"source":{"id":"https://openalex.org/S205019203","display_name":"ACM Transactions on Computation Theory","issn_l":"1942-3454","issn":["1942-3454","1942-3462"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Computation Theory","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/1806.00638","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5020923873","display_name":"Ishay Haviv","orcid":"https://orcid.org/0000-0002-2903-076X"},"institutions":[{"id":"https://openalex.org/I4210141777","display_name":"Academic College of Tel Aviv-Yafo","ror":"https://ror.org/04cg6c004","country_code":"IL","type":"education","lineage":["https://openalex.org/I4210141777"]}],"countries":["IL"],"is_corresponding":true,"raw_author_name":"Ishay Haviv","raw_affiliation_strings":["School of Computer Science, The Academic College of Tel Aviv-Yaffo, Israel"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computer Science, The Academic College of Tel Aviv-Yaffo, Israel","institution_ids":["https://openalex.org/I4210141777"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5020923873"],"corresponding_institution_ids":["https://openalex.org/I4210141777"],"apc_list":null,"apc_paid":null,"fwci":1.0119,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.68644338,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"11","issue":"4","first_page":"1","last_page":"13"},"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":0.9998999834060669,"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":0.9998999834060669,"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/T11130","display_name":"Coding theory and cryptography","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T11797","display_name":"graph theory and CDMA systems","score":0.9991000294685364,"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/combinatorics","display_name":"Combinatorics","score":0.8475939035415649},{"id":"https://openalex.org/keywords/bipartite-graph","display_name":"Bipartite graph","score":0.6653003692626953},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.582129180431366},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5777063965797424},{"id":"https://openalex.org/keywords/finite-field","display_name":"Finite field","score":0.5158151984214783},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.4717855155467987},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.45345187187194824},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.4384951889514923},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.39771705865859985}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8475939035415649},{"id":"https://openalex.org/C197657726","wikidata":"https://www.wikidata.org/wiki/Q174733","display_name":"Bipartite graph","level":3,"score":0.6653003692626953},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.582129180431366},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5777063965797424},{"id":"https://openalex.org/C77926391","wikidata":"https://www.wikidata.org/wiki/Q603880","display_name":"Finite field","level":2,"score":0.5158151984214783},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.4717855155467987},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.45345187187194824},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.4384951889514923},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.39771705865859985},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1145/3322817","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3322817","pdf_url":null,"source":{"id":"https://openalex.org/S205019203","display_name":"ACM Transactions on Computation Theory","issn_l":"1942-3454","issn":["1942-3454","1942-3462"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Computation Theory","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1806.00638","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1806.00638","pdf_url":"https://arxiv.org/pdf/1806.00638","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:2805372100","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1806.00638v1","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":"pmh:oai:drops-oai.dagstuhl.de:9446","is_oa":true,"landing_page_url":"https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.APPROX-RANDOM.2018.42","pdf_url":null,"source":{"id":"https://openalex.org/S4377196569","display_name":"DROPS (Schloss Dagstuhl \u2013 Leibniz Center for Informatics)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2799853480","host_organization_name":"Schloss Dagstuhl \u2013 Leibniz Center for Informatics","host_organization_lineage":["https://openalex.org/I2799853480"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"InProceedings"},{"id":"doi:10.48550/arxiv.1806.00638","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1806.00638","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":"doi:10.4230/lipics.approx-random.2018.42","is_oa":true,"landing_page_url":"https://doi.org/10.4230/lipics.approx-random.2018.42","pdf_url":null,"source":{"id":"https://openalex.org/S7407052059","display_name":"Dagstuhl Research Online Publication Server","issn_l":null,"issn":[],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":""}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1806.00638","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1806.00638","pdf_url":"https://arxiv.org/pdf/1806.00638","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W1623354552","https://openalex.org/W1845405019","https://openalex.org/W1964385142","https://openalex.org/W1969872431","https://openalex.org/W1974827405","https://openalex.org/W1986908956","https://openalex.org/W2018074536","https://openalex.org/W2024500982","https://openalex.org/W2044716089","https://openalex.org/W2051336598","https://openalex.org/W2052119489","https://openalex.org/W2059613941","https://openalex.org/W2067803318","https://openalex.org/W2068871408","https://openalex.org/W2072475112","https://openalex.org/W2074920973","https://openalex.org/W2078289947","https://openalex.org/W2116471929","https://openalex.org/W2130847187","https://openalex.org/W2164684058","https://openalex.org/W2166333600","https://openalex.org/W2296317949","https://openalex.org/W2402422612","https://openalex.org/W2477674116","https://openalex.org/W2609005943","https://openalex.org/W2898680372","https://openalex.org/W6629366828","https://openalex.org/W6633761402","https://openalex.org/W6636473813","https://openalex.org/W6725288367","https://openalex.org/W6980728950"],"related_works":["https://openalex.org/W2952210779","https://openalex.org/W3210829833","https://openalex.org/W1690043692","https://openalex.org/W2949606243","https://openalex.org/W3190674309","https://openalex.org/W2008729281","https://openalex.org/W2402766034","https://openalex.org/W2963500080","https://openalex.org/W2172837624","https://openalex.org/W3103974728","https://openalex.org/W1897557205","https://openalex.org/W2943357508","https://openalex.org/W2962736919","https://openalex.org/W3038124658","https://openalex.org/W2950039013","https://openalex.org/W1967072319","https://openalex.org/W3165892239","https://openalex.org/W2005791424","https://openalex.org/W3172394114","https://openalex.org/W1974463914"],"abstract_inverted_index":{"The":[0,208],"minrank":[1,85],"over":[2,86],"a":[3,7,25,65,70,121,124,137,194,201],"field":[4,71],"F":[5,29,87],"of":[6,24,88,98,141,196,203],"graph":[8,66,92,171],"G":[9,58],"on":[10,128],"the":[11,20,82,150,158],"vertex":[12],"set":[13],"{":[14],"1,2,\u2026":[15],",":[16,43,64,68,77,79,132,173,177,179],"n":[17,30,32,63,76,90,131,144,147,176,182],"}":[18],"is":[19],"minimum":[21],"possible":[22,84],"rank":[23],"matrix":[26],"M":[27,35,45],"\u2208":[28],"\u00d7":[31],"such":[33],"that":[34,167],"i,":[36,46],"i":[37,42,54],"\u2260":[38],"0":[39],"for":[40,49,108,149,168,184],"every":[41,50,169],"and":[44,55,69,112,219],"j":[47,56],"=0":[48],"distinct":[51],"non-adjacent":[52],"vertices":[53],"in":[57,214],".":[59,100,156],"For":[60,115,157],"an":[61,89,164],"integer":[62],"H":[67,78,99,111,133,152,172,178,190],"F,":[72],"let":[73],"g":[74,129,174],"(":[75,130,175,189],"F)":[80],"denote":[81],"maximum":[83],"-vertex":[91],"whose":[93],"complement":[94],"contains":[95],"no":[96],"copy":[97],"In":[101],"this":[102,106,197],"article,":[103],"we":[104,118,161,199],"study":[105],"quantity":[107],"various":[109],"graphs":[110],"fields":[113],"F.":[114],"finite":[116],"fields,":[117],"prove":[119,162],"by":[120,163,212],"probabilistic":[122],"argument":[123],"general":[125],"lower":[126],"bound":[127,140],",F),":[134],"which":[135],"yields":[136],"nearly":[138],"tight":[139],"\u03a9":[142],"(\u221a":[143],"/":[145],"log":[146],")":[148],"triangle":[151],"=":[153,187],"K":[154],"3":[155],"real":[159],"field,":[160],"explicit":[165],"construction":[166],"non-bipartite":[170],"R)":[180],"\u2265":[181],"\u03b4":[183,186,188],"some":[185],")&gt;":[191],"0.":[192],"As":[193],"by-product":[195],"construction,":[198],"disprove":[200],"conjecture":[202],"Codenotti":[204],"et":[205],"al.":[206],"[11].":[207],"results":[209],"are":[210],"motivated":[211],"questions":[213],"information":[215],"theory,":[216],"circuit":[217],"complexity,":[218],"geometry.":[220]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
