{"id":"https://openalex.org/W4385768108","doi":"https://doi.org/10.37236/11603","title":"Inversion Sequences Avoiding a Triple of Patterns of 3 Letters","display_name":"Inversion Sequences Avoiding a Triple of Patterns of 3 Letters","publication_year":2023,"publication_date":"2023-08-11","ids":{"openalex":"https://openalex.org/W4385768108","doi":"https://doi.org/10.37236/11603"},"language":"en","primary_location":{"id":"doi:10.37236/11603","is_oa":true,"landing_page_url":"http://dx.doi.org/10.37236/11603","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v30i3p19/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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","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/v30i3p19/pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5011124440","display_name":"David Callan","orcid":null},"institutions":[{"id":"https://openalex.org/I135310074","display_name":"University of Wisconsin\u2013Madison","ror":"https://ror.org/01y2jtd41","country_code":"US","type":"education","lineage":["https://openalex.org/I135310074"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"David Callan","raw_affiliation_strings":["Department of Statistics, University of Wisconsin, Madison"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Statistics, University of Wisconsin, Madison","institution_ids":["https://openalex.org/I135310074"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5005488534","display_name":"V\u00edt Jel\u00ednek","orcid":"https://orcid.org/0000-0003-4831-4079"},"institutions":[{"id":"https://openalex.org/I21250087","display_name":"Charles University","ror":"https://ror.org/024d6js02","country_code":"CZ","type":"education","lineage":["https://openalex.org/I21250087"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"V\u00edt Jel\u00ednek","raw_affiliation_strings":["Computer Science Institute, Charles University, Prague, Czechia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Computer Science Institute, Charles University, Prague, Czechia","institution_ids":["https://openalex.org/I21250087"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5024416044","display_name":"Toufik Mansour","orcid":"https://orcid.org/0000-0001-8028-2391"},"institutions":[{"id":"https://openalex.org/I91203450","display_name":"University of Haifa","ror":"https://ror.org/02f009v59","country_code":"IL","type":"education","lineage":["https://openalex.org/I91203450"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Toufik Mansour","raw_affiliation_strings":["Department of Mathematics, University of Haifa"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Haifa","institution_ids":["https://openalex.org/I91203450"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.3484,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.57279361,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"30","issue":"3","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":0.9984999895095825,"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":0.9984999895095825,"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/T11567","display_name":"semigroups and automata theory","score":0.9965000152587891,"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/T11130","display_name":"Coding theory and cryptography","score":0.9958999752998352,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8069793581962585},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.8051750659942627},{"id":"https://openalex.org/keywords/inversion","display_name":"Inversion (geology)","score":0.622527003288269},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.5168704986572266}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8069793581962585},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8051750659942627},{"id":"https://openalex.org/C1893757","wikidata":"https://www.wikidata.org/wiki/Q3653001","display_name":"Inversion (geology)","level":3,"score":0.622527003288269},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.5168704986572266},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C109007969","wikidata":"https://www.wikidata.org/wiki/Q749565","display_name":"Structural basin","level":2,"score":0.0},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.37236/11603","is_oa":true,"landing_page_url":"http://dx.doi.org/10.37236/11603","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v30i3p19/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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","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:10.37236/11603","is_oa":true,"landing_page_url":"http://dx.doi.org/10.37236/11603","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v30i3p19/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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","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/F4320321006","display_name":"Grantov\u00e1 Agentura \u010cesk\u00e9 Republiky","ror":"https://ror.org/01pv73b02"}],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4385768108.pdf"},"referenced_works_count":21,"referenced_works":["https://openalex.org/W1772401354","https://openalex.org/W1978059000","https://openalex.org/W2075656311","https://openalex.org/W2135805766","https://openalex.org/W2460079960","https://openalex.org/W2887852849","https://openalex.org/W2913341612","https://openalex.org/W2962709784","https://openalex.org/W2963539886","https://openalex.org/W2963698320","https://openalex.org/W2969303935","https://openalex.org/W2983341574","https://openalex.org/W2992381333","https://openalex.org/W3013450710","https://openalex.org/W3044372408","https://openalex.org/W3216115079","https://openalex.org/W4210958424","https://openalex.org/W4220857460","https://openalex.org/W4319080013","https://openalex.org/W4377020029","https://openalex.org/W6601365666"],"related_works":["https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W4225152035","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W1587224694","https://openalex.org/W2911598644","https://openalex.org/W2042127053"],"abstract_inverted_index":{"An":[0],"inversion":[1,37],"sequence":[2,8],"of":[3,9,27,36,39,53,72,77],"length":[4,40],"$n$":[5,41],"is":[6,80,91],"a":[7,25],"integers":[10],"$e=e_1\\cdots":[11],"e_n$":[12],"which":[13],"satisfies":[14],"for":[15,62],"each":[16],"$i\\in[n]=\\{1,2,\\ldots,n\\}$":[17],"the":[18,34,45,70],"inequality":[19],"$0\\le":[20],"e_i":[21],"&lt;":[22],"i$.":[23],"For":[24],"set":[26,35],"patterns":[28,46,54,79],"$P$,":[29],"we":[30,67],"let":[31],"$\\mathbf{I}_n(P)$":[32],"denote":[33],"sequences":[38],"that":[42,50,69,88],"avoid":[43],"all":[44],"from~$P$.":[47],"We":[48],"say":[49],"two":[51],"sets":[52],"$P$":[55],"and":[56,99],"$Q$":[57],"are":[58],"I-Wilf-equivalent":[59],"if":[60],"$|\\mathbf{I}_n(P)|=|\\mathbf{I}_n(Q)|$":[61],"every~$n$.":[63],"In":[64,84],"this":[65,89],"paper,":[66],"show":[68,87],"number":[71,90],"I-Wilf-equivalence":[73],"classes":[74],"among":[75],"triples":[76],"length-3":[78],"$137$,":[81,93],"$138$":[82],"or~$139$.":[83],"particular,":[85],"to":[86,96],"exactly":[92],"it":[94],"remains":[95],"prove":[97],"$\\{101,102,110\\}\\stackrel{\\mathbf{I}}{\\sim}\\{021,100,101\\}$":[98],"$\\{100,110,201\\}\\stackrel{\\mathbf{I}}{\\sim}\\{100,120,210\\}$.":[100]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
