{"id":"https://openalex.org/W1921367233","doi":"https://doi.org/10.37236/717","title":"Genetic Algorithms Applied to Problems of Forbidden Configurations","display_name":"Genetic Algorithms Applied to Problems of Forbidden Configurations","publication_year":2011,"publication_date":"2011-12-05","ids":{"openalex":"https://openalex.org/W1921367233","doi":"https://doi.org/10.37236/717","mag":"1921367233"},"language":"en","primary_location":{"id":"doi:10.37236/717","is_oa":true,"landing_page_url":"https://doi.org/10.37236/717","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v18i1p230/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/v18i1p230/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/I141945490","display_name":"University of British Columbia","ror":"https://ror.org/03rmrcq20","country_code":"CA","type":"education","lineage":["https://openalex.org/I141945490"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"R. P. Anstee","raw_affiliation_strings":["Department of Mathematics University of British Columbia Vancouver, B.C. Canada V6T 1Z2","University of British Columbia"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics University of British Columbia Vancouver, B.C. Canada V6T 1Z2","institution_ids":["https://openalex.org/I141945490"]},{"raw_affiliation_string":"University of British Columbia","institution_ids":["https://openalex.org/I141945490"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5014296439","display_name":"Miguel Raggi","orcid":"https://orcid.org/0000-0001-9100-1655"},"institutions":[{"id":"https://openalex.org/I141945490","display_name":"University of British Columbia","ror":"https://ror.org/03rmrcq20","country_code":"CA","type":"education","lineage":["https://openalex.org/I141945490"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Miguel Raggi","raw_affiliation_strings":["Department of Mathematics University of British Columbia Vancouver, B.C. Canada V6T 1Z2"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics University of British Columbia Vancouver, B.C. Canada V6T 1Z2","institution_ids":["https://openalex.org/I141945490"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5031068407"],"corresponding_institution_ids":["https://openalex.org/I141945490"],"apc_list":null,"apc_paid":null,"fwci":0.2702,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.58768809,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"18","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":0.9994999766349792,"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":0.9994999766349792,"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.98580002784729,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/T12176","display_name":"Optimization and Packing Problems","score":0.9853000044822693,"subfield":{"id":"https://openalex.org/subfields/2209","display_name":"Industrial and Manufacturing 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/simple","display_name":"Simple (philosophy)","score":0.7776931524276733},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.7378169298171997},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7359362244606018},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6845209002494812},{"id":"https://openalex.org/keywords/permutation","display_name":"Permutation (music)","score":0.6832300424575806},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5008571147918701},{"id":"https://openalex.org/keywords/simple-algorithm","display_name":"SIMPLE algorithm","score":0.47229889035224915},{"id":"https://openalex.org/keywords/column","display_name":"Column (typography)","score":0.4128805994987488},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.36184272170066833},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.06542035937309265},{"id":"https://openalex.org/keywords/connection","display_name":"Connection (principal bundle)","score":0.06097480654716492},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.05839619040489197}],"concepts":[{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.7776931524276733},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.7378169298171997},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7359362244606018},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6845209002494812},{"id":"https://openalex.org/C21308566","wikidata":"https://www.wikidata.org/wiki/Q7169365","display_name":"Permutation (music)","level":2,"score":0.6832300424575806},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5008571147918701},{"id":"https://openalex.org/C97542219","wikidata":"https://www.wikidata.org/wiki/Q497863","display_name":"SIMPLE algorithm","level":2,"score":0.47229889035224915},{"id":"https://openalex.org/C2780551164","wikidata":"https://www.wikidata.org/wiki/Q2306599","display_name":"Column (typography)","level":3,"score":0.4128805994987488},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.36184272170066833},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.06542035937309265},{"id":"https://openalex.org/C13355873","wikidata":"https://www.wikidata.org/wiki/Q2920850","display_name":"Connection (principal bundle)","level":2,"score":0.06097480654716492},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.05839619040489197},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"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/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"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/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","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":2,"locations":[{"id":"doi:10.37236/717","is_oa":true,"landing_page_url":"https://doi.org/10.37236/717","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v18i1p230/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"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.230.2735","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.230.2735","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.math.ubc.ca/%7Eanstee/genetic.pdf","raw_type":"text"}],"best_oa_location":{"id":"doi:10.37236/717","is_oa":true,"landing_page_url":"https://doi.org/10.37236/717","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v18i1p230/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":[],"funders":[{"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/W1921367233.pdf","grobid_xml":"https://content.openalex.org/works/W1921367233.grobid-xml"},"referenced_works_count":10,"referenced_works":["https://openalex.org/W1483736078","https://openalex.org/W1583473912","https://openalex.org/W1598186826","https://openalex.org/W2014574528","https://openalex.org/W2055440347","https://openalex.org/W2089627821","https://openalex.org/W2097571405","https://openalex.org/W2118720660","https://openalex.org/W2164866963","https://openalex.org/W4244095508"],"related_works":["https://openalex.org/W2952426683","https://openalex.org/W2394002236","https://openalex.org/W2287252246","https://openalex.org/W2184922646","https://openalex.org/W2952541781","https://openalex.org/W2762324796","https://openalex.org/W1585007175","https://openalex.org/W3213833483","https://openalex.org/W4381140938","https://openalex.org/W2309657040"],"abstract_inverted_index":{"A":[0],"simple":[1,57,70,115],"matrix":[2,58,66,71,116],"is":[3,26,32,54,124],"a":[4,11,16,22,33,89,107],"(0,1)-matrix":[5,12,17],"with":[6,73],"no":[7,27],"repeated":[8],"columns.":[9],"For":[10],"$F$,":[13],"we":[14],"say":[15],"$A$":[18,30,72],"avoids":[19,60,75],"$F$":[20,76,118],"(as":[21],"configuration)":[23],"if":[24],"there":[25],"submatrix":[28],"of":[29,38,45,47,83,112],"which":[31],"row":[34],"and":[35,77,119],"column":[36],"permutation":[37],"$F$.":[39],"Let":[40],"$\\|{A}\\|$":[41],"denote":[42],"the":[43,81,110,122,135],"number":[44],"columns":[46],"$A$.":[48],"We":[49,79,96],"define":[50],"$\\mathrm{forb}(m,F)=\\max\\{\\|{A}\\|\\":[51],":":[52],"A$":[53],"an":[55,64,68,113],"$m$-rowed":[56,69],"that":[59,74],"$F":[61],"\\}$.":[62],"Define":[63],"extremal":[65,94],"as":[67],"$\\|{A}\\|=\\mathrm{forb}(m,F)$.":[78],"describe":[80],"use":[82],"Local":[84],"Search":[85],"Algorithms":[86],"(in":[87],"particular":[88],"Genetic":[90,128],"Algorithm)":[91],"for":[92,109],"finding":[93,134],"matrices.":[95],"apply":[97],"this":[98],"technique":[99],"to":[100],"two":[101],"forbidden":[102],"configurations":[103],"in":[104,133],"turn,":[105],"obtaining":[106],"guess":[108,123],"structure":[111],"$m\\times\\mathrm{forb}(m,F)$":[114],"avoiding":[117],"then":[120],"proving":[121],"indeed":[125],"correct.":[126],"The":[127],"Algorithm":[129],"was":[130],"also":[131],"helpful":[132],"proof.":[136]},"counts_by_year":[{"year":2013,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
