{"id":"https://openalex.org/W1919302619","doi":"https://doi.org/10.1017/s0960129515000250","title":"Permutation classes and polyomino classes with excluded submatrices","display_name":"Permutation classes and polyomino classes with excluded submatrices","publication_year":2015,"publication_date":"2015-07-03","ids":{"openalex":"https://openalex.org/W1919302619","doi":"https://doi.org/10.1017/s0960129515000250","mag":"1919302619"},"language":"en","primary_location":{"id":"doi:10.1017/s0960129515000250","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s0960129515000250","pdf_url":null,"source":{"id":"https://openalex.org/S101766102","display_name":"Mathematical Structures in Computer Science","issn_l":"0960-1295","issn":["0960-1295","1469-8072"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Structures in Computer Science","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1402.2260","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5021177865","display_name":"Daniela Battaglino","orcid":null},"institutions":[{"id":"https://openalex.org/I102064193","display_name":"University of Siena","ror":"https://ror.org/01tevnk56","country_code":"IT","type":"education","lineage":["https://openalex.org/I102064193"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"DANIELA BATTAGLINO","raw_affiliation_strings":["Dipartimento di Ingegneria dell'Informazione e Scienza Matematiche, Via Roma, 56, 53100, Siena, Italy Email:","Dipartimento di Ingegneria dell'Informazione e Scienza Matematiche, Via Roma, 56, 53100, Siena, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Ingegneria dell'Informazione e Scienza Matematiche, Via Roma, 56, 53100, Siena, Italy Email:","institution_ids":["https://openalex.org/I102064193"]},{"raw_affiliation_string":"Dipartimento di Ingegneria dell'Informazione e Scienza Matematiche, Via Roma, 56, 53100, Siena, Italy","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5110181824","display_name":"Mathilde Bouvel","orcid":null},"institutions":[{"id":"https://openalex.org/I202697423","display_name":"University of Zurich","ror":"https://ror.org/02crff812","country_code":"CH","type":"education","lineage":["https://openalex.org/I202697423"]},{"id":"https://openalex.org/I4210166048","display_name":"Gesellschaft Fur Mathematik Und Datenverarbeitung","ror":"https://ror.org/02g6d4t03","country_code":"DE","type":"facility","lineage":["https://openalex.org/I4210166048"]}],"countries":["CH","DE"],"is_corresponding":false,"raw_author_name":"MATHILDE BOUVEL","raw_affiliation_strings":["Institut f\u00fcr Mathematik, Universit\u00e4t Z\u00fcrich, Winterthurerstrasse 190, CH-8057 Z\u00fcrich, Switzerland Email:","Institut f\u00fcr Mathematik"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Mathematik, Universit\u00e4t Z\u00fcrich, Winterthurerstrasse 190, CH-8057 Z\u00fcrich, Switzerland Email:","institution_ids":["https://openalex.org/I202697423"]},{"raw_affiliation_string":"Institut f\u00fcr Mathematik","institution_ids":["https://openalex.org/I4210166048"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5008742130","display_name":"Andrea Frosini","orcid":"https://orcid.org/0000-0001-7210-2231"},"institutions":[{"id":"https://openalex.org/I45084792","display_name":"University of Florence","ror":"https://ror.org/04jr1s763","country_code":"IT","type":"education","lineage":["https://openalex.org/I45084792"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"ANDREA FROSINI","raw_affiliation_strings":["Dipartimento di Matematica e Informatica, viale Morgagni 67, 50134, Firenze, Italy Email:","Dipartimento di Matematica e Informatica, viale Morgagni 67, 50134, Firenze, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica e Informatica, viale Morgagni 67, 50134, Firenze, Italy Email:","institution_ids":["https://openalex.org/I45084792"]},{"raw_affiliation_string":"Dipartimento di Matematica e Informatica, viale Morgagni 67, 50134, Firenze, Italy","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5018231504","display_name":"Simone Rinaldi","orcid":null},"institutions":[{"id":"https://openalex.org/I102064193","display_name":"University of Siena","ror":"https://ror.org/01tevnk56","country_code":"IT","type":"education","lineage":["https://openalex.org/I102064193"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"SIMONE RINALDI","raw_affiliation_strings":["Dipartimento di Ingegneria dell'Informazione e Scienza Matematiche, Via Roma, 56, 53100, Siena, Italy Email:","Dipartimento di Ingegneria dell'Informazione e Scienza Matematiche, Via Roma, 56, 53100, Siena, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Ingegneria dell'Informazione e Scienza Matematiche, Via Roma, 56, 53100, Siena, Italy Email:","institution_ids":["https://openalex.org/I102064193"]},{"raw_affiliation_string":"Dipartimento di Ingegneria dell'Informazione e Scienza Matematiche, Via Roma, 56, 53100, Siena, Italy","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.6766,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.64658432,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"27","issue":"2","first_page":"157","last_page":"183"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9994000196456909,"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/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9994000196456909,"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/T11567","display_name":"semigroups and automata theory","score":0.9983999729156494,"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/T11727","display_name":"Advanced Algebra and Logic","score":0.9966999888420105,"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/polyomino","display_name":"Polyomino","score":0.9871558547019958},{"id":"https://openalex.org/keywords/permutation","display_name":"Permutation (music)","score":0.885988712310791},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.665514349937439},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.6229085922241211},{"id":"https://openalex.org/keywords/cyclic-permutation","display_name":"Cyclic permutation","score":0.5781558156013489},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5381558537483215},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.4280300438404083},{"id":"https://openalex.org/keywords/block-matrix","display_name":"Block matrix","score":0.4214113652706146},{"id":"https://openalex.org/keywords/derangement","display_name":"Derangement","score":0.42032724618911743},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.39715588092803955},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.37334197759628296},{"id":"https://openalex.org/keywords/symmetric-group","display_name":"Symmetric group","score":0.1790657639503479},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.06329849362373352},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.061249226331710815},{"id":"https://openalex.org/keywords/history","display_name":"History","score":0.05837094783782959},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.05166661739349365}],"concepts":[{"id":"https://openalex.org/C69919132","wikidata":"https://www.wikidata.org/wiki/Q1144819","display_name":"Polyomino","level":3,"score":0.9871558547019958},{"id":"https://openalex.org/C21308566","wikidata":"https://www.wikidata.org/wiki/Q7169365","display_name":"Permutation (music)","level":2,"score":0.885988712310791},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.665514349937439},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.6229085922241211},{"id":"https://openalex.org/C77670614","wikidata":"https://www.wikidata.org/wiki/Q212130","display_name":"Cyclic permutation","level":3,"score":0.5781558156013489},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5381558537483215},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.4280300438404083},{"id":"https://openalex.org/C85817219","wikidata":"https://www.wikidata.org/wiki/Q884772","display_name":"Block matrix","level":3,"score":0.4214113652706146},{"id":"https://openalex.org/C38298161","wikidata":"https://www.wikidata.org/wiki/Q1207920","display_name":"Derangement","level":2,"score":0.42032724618911743},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.39715588092803955},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.37334197759628296},{"id":"https://openalex.org/C128622974","wikidata":"https://www.wikidata.org/wiki/Q849512","display_name":"Symmetric group","level":2,"score":0.1790657639503479},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.06329849362373352},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.061249226331710815},{"id":"https://openalex.org/C95457728","wikidata":"https://www.wikidata.org/wiki/Q309","display_name":"History","level":0,"score":0.05837094783782959},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.05166661739349365},{"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/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","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/C166957645","wikidata":"https://www.wikidata.org/wiki/Q23498","display_name":"Archaeology","level":1,"score":0.0},{"id":"https://openalex.org/C107038049","wikidata":"https://www.wikidata.org/wiki/Q35986","display_name":"Aesthetics","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1017/s0960129515000250","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s0960129515000250","pdf_url":null,"source":{"id":"https://openalex.org/S101766102","display_name":"Mathematical Structures in Computer Science","issn_l":"0960-1295","issn":["0960-1295","1469-8072"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Structures in Computer Science","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1402.2260","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1402.2260","pdf_url":"https://arxiv.org/pdf/1402.2260","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":null,"raw_type":"text"},{"id":"pmh:oai:flore.unifi.it:2158/1039859","is_oa":false,"landing_page_url":"http://hdl.handle.net/2158/1039859","pdf_url":null,"source":{"id":"https://openalex.org/S4306402033","display_name":"Florence Research (University of Florence)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I45084792","host_organization_name":"University of Florence","host_organization_lineage":["https://openalex.org/I45084792"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:usiena-air.unisi.it:11365/1035011","is_oa":false,"landing_page_url":"http://hdl.handle.net/11365/1035011","pdf_url":null,"source":{"id":"https://openalex.org/S4377196319","display_name":"Use Siena air (University of Siena)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I102064193","host_organization_name":"University of Siena","host_organization_lineage":["https://openalex.org/I102064193"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1402.2260","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1402.2260","pdf_url":"https://arxiv.org/pdf/1402.2260","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":null,"raw_type":"text"},"sustainable_development_goals":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.5400000214576721}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":38,"referenced_works":["https://openalex.org/W652330899","https://openalex.org/W1511910139","https://openalex.org/W1552196842","https://openalex.org/W1573901902","https://openalex.org/W1865910358","https://openalex.org/W1882541734","https://openalex.org/W1941271855","https://openalex.org/W1980486012","https://openalex.org/W1984841421","https://openalex.org/W1989735674","https://openalex.org/W2009793614","https://openalex.org/W2013064186","https://openalex.org/W2023353776","https://openalex.org/W2036252950","https://openalex.org/W2047075079","https://openalex.org/W2051725919","https://openalex.org/W2060137220","https://openalex.org/W2091015960","https://openalex.org/W2111619805","https://openalex.org/W2112736257","https://openalex.org/W2121947368","https://openalex.org/W2139313435","https://openalex.org/W2171046979","https://openalex.org/W2327692812","https://openalex.org/W2334907329","https://openalex.org/W2601870897","https://openalex.org/W2752061190","https://openalex.org/W2752853835","https://openalex.org/W2952552917","https://openalex.org/W2963740510","https://openalex.org/W4212838771","https://openalex.org/W4232319609","https://openalex.org/W4237930722","https://openalex.org/W4239917935","https://openalex.org/W4243285511","https://openalex.org/W4248488802","https://openalex.org/W4253748139","https://openalex.org/W6676960901"],"related_works":["https://openalex.org/W4298457394","https://openalex.org/W2769202988","https://openalex.org/W2963471363","https://openalex.org/W2338752714","https://openalex.org/W2022866443","https://openalex.org/W2385551783","https://openalex.org/W2951483239","https://openalex.org/W2964309395","https://openalex.org/W2953758618","https://openalex.org/W1919302619"],"abstract_inverted_index":{"This":[0],"article":[1],"introduces":[2],"an":[3,22],"analogue":[4],"of":[5,11,25,51,66],"permutation":[6,15,52],"classes":[7,16,55],"in":[8],"the":[9,63],"context":[10],"polyominoes.":[12],"For":[13],"both":[14],"and":[17,35,53,60,68],"polyomino":[18,54],"classes,":[19],"we":[20,36],"present":[21],"original":[23],"way":[24],"characterizing":[26],"them":[27],"by":[28,43],"avoidance":[29],"constraints":[30],"(namely,":[31],"with":[32,70],"excluded":[33],"submatrices)":[34],"discuss":[37],"how":[38],"canonical":[39],"such":[40],"a":[41],"description":[42],"submatrix-avoidance":[44,64],"can":[45],"be.":[46],"We":[47],"provide":[48],"numerous":[49],"examples":[50],"which":[56],"may":[57],"be":[58],"defined":[59],"studied":[61],"from":[62],"point":[65],"view,":[67],"conclude":[69],"various":[71],"directions":[72],"for":[73],"future":[74],"research":[75],"on":[76],"this":[77],"topic.":[78]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-06-12T08:23:45.883708","created_date":"2025-10-10T00:00:00"}