{"id":"https://openalex.org/W3178242102","doi":"https://doi.org/10.1137/21m1449646","title":"Letter Graphs and Geometric Grid Classes of Permutations","display_name":"Letter Graphs and Geometric Grid Classes of Permutations","publication_year":2022,"publication_date":"2022-11-14","ids":{"openalex":"https://openalex.org/W3178242102","doi":"https://doi.org/10.1137/21m1449646","mag":"3178242102"},"language":"en","primary_location":{"id":"doi:10.1137/21m1449646","is_oa":false,"landing_page_url":"https://doi.org/10.1137/21m1449646","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":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2107.03447","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5021958252","display_name":"Bogdan Alecu","orcid":"https://orcid.org/0000-0002-5515-9145"},"institutions":[{"id":"https://openalex.org/I39555362","display_name":"University of Warwick","ror":"https://ror.org/01a77tt86","country_code":"GB","type":"education","lineage":["https://openalex.org/I39555362"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Bogdan Alecu","raw_affiliation_strings":["WMI - Warwick Mathematics Institute (Mathematics Institute, Zeeman Building, The University of Warwick, Coventry CV4 7AL, United Kingdom - United Kingdom)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"WMI - Warwick Mathematics Institute (Mathematics Institute, Zeeman Building, The University of Warwick, Coventry CV4 7AL, United Kingdom - United Kingdom)","institution_ids":["https://openalex.org/I39555362"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5022919593","display_name":"Robert Ferguson","orcid":"https://orcid.org/0000-0002-8071-0998"},"institutions":[{"id":"https://openalex.org/I33213144","display_name":"University of Florida","ror":"https://ror.org/02y3ad647","country_code":"US","type":"education","lineage":["https://openalex.org/I33213144"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Robert Ferguson","raw_affiliation_strings":["UF|Math - Department of Mathematics [Gainesville] (University of Florida, \r\n358 Little Hall, Gainesville FL 32611-8105 - United States)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"UF|Math - Department of Mathematics [Gainesville] (University of Florida, \r\n358 Little Hall, Gainesville FL 32611-8105 - United States)","institution_ids":["https://openalex.org/I33213144"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5086757058","display_name":"Mamadou Moustapha Kant\u00e9","orcid":"https://orcid.org/0000-0003-1838-7744"},"institutions":[{"id":"https://openalex.org/I4210099416","display_name":"Laboratoire d'Informatique, de Mod\u00e9lisation et d'Optimisation des Syst\u00e8mes","ror":"https://ror.org/00t3fpp34","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I198244214","https://openalex.org/I198244214","https://openalex.org/I203339264","https://openalex.org/I205703379","https://openalex.org/I3019848993","https://openalex.org/I4210099416","https://openalex.org/I4210123221","https://openalex.org/I4210159245","https://openalex.org/I4387154249"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Mamadou Moustapha Kant\u00e9","raw_affiliation_strings":["LIMOS - Laboratoire d'Informatique, de Mod\u00e9lisation et d'Optimisation des Syst\u00e8mes (Campus Universitaire des C\u00e9zeaux, 1 rue de la Chebarde, TSA 60125 / CS 60026, 63178 Aubi\u00e8re Cedex - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LIMOS - Laboratoire d'Informatique, de Mod\u00e9lisation et d'Optimisation des Syst\u00e8mes (Campus Universitaire des C\u00e9zeaux, 1 rue de la Chebarde, TSA 60125 / CS 60026, 63178 Aubi\u00e8re Cedex - France)","institution_ids":["https://openalex.org/I4210099416"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5081581015","display_name":"Vadim Lozin","orcid":"https://orcid.org/0000-0003-2464-7389"},"institutions":[{"id":"https://openalex.org/I39555362","display_name":"University of Warwick","ror":"https://ror.org/01a77tt86","country_code":"GB","type":"education","lineage":["https://openalex.org/I39555362"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Vadim V. Lozin","raw_affiliation_strings":["WMI - Warwick Mathematics Institute (Mathematics Institute, Zeeman Building, The University of Warwick, Coventry CV4 7AL, United Kingdom - United Kingdom)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"WMI - Warwick Mathematics Institute (Mathematics Institute, Zeeman Building, The University of Warwick, Coventry CV4 7AL, United Kingdom - United Kingdom)","institution_ids":["https://openalex.org/I39555362"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5026309695","display_name":"Vincent Vatter","orcid":"https://orcid.org/0000-0001-5713-4059"},"institutions":[{"id":"https://openalex.org/I33213144","display_name":"University of Florida","ror":"https://ror.org/02y3ad647","country_code":"US","type":"education","lineage":["https://openalex.org/I33213144"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Vincent Vatter","raw_affiliation_strings":["UF|Math - Department of Mathematics [Gainesville] (University of Florida, \r\n358 Little Hall, Gainesville FL 32611-8105 - United States)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"UF|Math - Department of Mathematics [Gainesville] (University of Florida, \r\n358 Little Hall, Gainesville FL 32611-8105 - United States)","institution_ids":["https://openalex.org/I33213144"]}]},{"author_position":"last","author":{"id":null,"display_name":"Victor Zamaraev","orcid":null},"institutions":[{"id":"https://openalex.org/I146655781","display_name":"University of Liverpool","ror":"https://ror.org/04xs57h96","country_code":"GB","type":"education","lineage":["https://openalex.org/I146655781"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Victor Zamaraev","raw_affiliation_strings":["Department of Computer Science, University of Liverpool, Liverpool, L69 3BX, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Liverpool, Liverpool, L69 3BX, UK","institution_ids":["https://openalex.org/I146655781"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":6,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.1189,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.78560494,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"36","issue":"4","first_page":"2774","last_page":"2797"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13664","display_name":"Genome Rearrangement Algorithms","score":0.9966999888420105,"subfield":{"id":"https://openalex.org/subfields/1311","display_name":"Genetics"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},"topics":[{"id":"https://openalex.org/T13664","display_name":"Genome Rearrangement Algorithms","score":0.9966999888420105,"subfield":{"id":"https://openalex.org/subfields/1311","display_name":"Genetics"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9958999752998352,"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/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9921000003814697,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7917640209197998},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7063043713569641},{"id":"https://openalex.org/keywords/permutation-graph","display_name":"Permutation graph","score":0.6769394874572754},{"id":"https://openalex.org/keywords/permutation","display_name":"Permutation (music)","score":0.6688455939292908},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.6179335117340088},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5366563200950623},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.49912333488464355},{"id":"https://openalex.org/keywords/grid","display_name":"Grid","score":0.4969961941242218},{"id":"https://openalex.org/keywords/connection","display_name":"Connection (principal bundle)","score":0.4864227771759033},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4054025411605835},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1357107162475586}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7917640209197998},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7063043713569641},{"id":"https://openalex.org/C68965932","wikidata":"https://www.wikidata.org/wiki/Q7169369","display_name":"Permutation graph","level":3,"score":0.6769394874572754},{"id":"https://openalex.org/C21308566","wikidata":"https://www.wikidata.org/wiki/Q7169365","display_name":"Permutation (music)","level":2,"score":0.6688455939292908},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.6179335117340088},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5366563200950623},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.49912333488464355},{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.4969961941242218},{"id":"https://openalex.org/C13355873","wikidata":"https://www.wikidata.org/wiki/Q2920850","display_name":"Connection (principal bundle)","level":2,"score":0.4864227771759033},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4054025411605835},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1357107162475586},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1137/21m1449646","is_oa":false,"landing_page_url":"https://doi.org/10.1137/21m1449646","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:wrap.warwick.ac.uk:168183","is_oa":false,"landing_page_url":"https://wrap.warwick.ac.uk/168183/1/WRAP-Letter-graphs-geometric-grid-classes-permutations-22.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400665","display_name":"Warwick Research Archive Portal (University of Warwick)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I39555362","host_organization_name":"University of Warwick","host_organization_lineage":["https://openalex.org/I39555362"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"Journal Article"},{"id":"pmh:oai:arXiv.org:2107.03447","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2107.03447","pdf_url":"https://arxiv.org/pdf/2107.03447","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":"pmh:oai:HAL:hal-04056615v1","is_oa":false,"landing_page_url":"https://hal.science/hal-04056615","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"SIAM Journal on Discrete Mathematics, 2022, 36 (4), pp.2774-2797. &#x27E8;10.1137/21M1449646&#x27E9;","raw_type":"Journal articles"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2107.03447","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2107.03447","pdf_url":"https://arxiv.org/pdf/2107.03447","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":[{"id":"https://metadata.un.org/sdg/10","score":0.4399999976158142,"display_name":"Reduced inequalities"}],"awards":[{"id":"https://openalex.org/G5021610120","display_name":null,"funder_award_id":"636113","funder_id":"https://openalex.org/F4320306164","funder_display_name":"Simons Foundation"},{"id":"https://openalex.org/G6876561401","display_name":null,"funder_award_id":"ANR-18","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G7367179401","display_name":"Algorithms with Small Separations acKnowledged: graphs and linear matroids","funder_award_id":"ANR-18-CE40-0025","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"}],"funders":[{"id":"https://openalex.org/F4320306164","display_name":"Simons Foundation","ror":"https://ror.org/01cmst727"},{"id":"https://openalex.org/F4320320279","display_name":"University of Warwick","ror":"https://ror.org/01a77tt86"},{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"},{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W1570340896","https://openalex.org/W1574446493","https://openalex.org/W1579049696","https://openalex.org/W1605354378","https://openalex.org/W1955551554","https://openalex.org/W1974351233","https://openalex.org/W1977950997","https://openalex.org/W1993476439","https://openalex.org/W1997435682","https://openalex.org/W2076508310","https://openalex.org/W2088341217","https://openalex.org/W2092807942","https://openalex.org/W2143474538","https://openalex.org/W2167190263","https://openalex.org/W2167928772","https://openalex.org/W2314893179","https://openalex.org/W2767249719","https://openalex.org/W2798714101","https://openalex.org/W2896817844","https://openalex.org/W2911358220","https://openalex.org/W2912910446","https://openalex.org/W2963998142","https://openalex.org/W2994155334","https://openalex.org/W3028658449","https://openalex.org/W3101041804","https://openalex.org/W3106127071","https://openalex.org/W4205903631","https://openalex.org/W4254218383"],"related_works":["https://openalex.org/W2385551783","https://openalex.org/W2141765721","https://openalex.org/W4302067876","https://openalex.org/W2356795487","https://openalex.org/W4285292213","https://openalex.org/W2362864942","https://openalex.org/W2964309395","https://openalex.org/W2107311821","https://openalex.org/W3458368","https://openalex.org/W2391050754"],"abstract_inverted_index":{"We":[0,37],"uncover":[1],"a":[2,48],"connection":[3],"between":[4],"two":[5],"seemingly":[6],"unrelated":[7],"notions:":[8],"lettericity,":[9],"from":[10,17],"structural":[11,29],"graph":[12],"theory,":[13],"and":[14,55],"geometric":[15],"griddability,":[16],"the":[18,45,58],"world":[19],"of":[20,24,31,35,61],"permutation":[21,49],"patterns.":[22],"Both":[23],"these":[25,40],"notions":[26,41],"capture":[27],"important":[28],"properties":[30],"their":[32],"respective":[33],"classes":[34],"objects.":[36],"prove":[38],"that":[39,47],"are":[42],"equivalent":[43],"in":[44],"sense":[46],"class":[50,60],"is":[51],"geometrically":[52],"griddable":[53],"if":[54,57],"only":[56],"corresponding":[59],"inversion":[62],"graphs":[63],"has":[64],"bounded":[65],"lettericity.":[66]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":3},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2026-06-22T08:00:12.763002","created_date":"2025-10-10T00:00:00"}
