{"id":"https://openalex.org/W1970355144","doi":"https://doi.org/10.1142/s021819671250018x","title":"ON THE TRANSITION SEMIGROUPS OF CENTRALLY LABELED RAUZY GRAPHS","display_name":"ON THE TRANSITION SEMIGROUPS OF CENTRALLY LABELED RAUZY GRAPHS","publication_year":2011,"publication_date":"2011-10-19","ids":{"openalex":"https://openalex.org/W1970355144","doi":"https://doi.org/10.1142/s021819671250018x","mag":"1970355144"},"language":"en","primary_location":{"id":"doi:10.1142/s021819671250018x","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s021819671250018x","pdf_url":null,"source":{"id":"https://openalex.org/S23260266","display_name":"International Journal of Algebra and Computation","issn_l":"0218-1967","issn":["0218-1967","1793-6500"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Algebra and Computation","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5021996338","display_name":"Jorge Almeida","orcid":"https://orcid.org/0000-0002-3829-2382"},"institutions":[{"id":"https://openalex.org/I182534213","display_name":"Universidade do Porto","ror":"https://ror.org/043pwc612","country_code":"PT","type":"education","lineage":["https://openalex.org/I182534213"]}],"countries":["PT"],"is_corresponding":true,"raw_author_name":"JORGE ALMEIDA","raw_affiliation_strings":["CMUP, Departamento de Matem\u00e1tica, Faculdade de Ci\u00eancias, Universidade do Porto, Rua do Campo Alegre 687, 4169-007 Porto, Portugal"],"affiliations":[{"raw_affiliation_string":"CMUP, Departamento de Matem\u00e1tica, Faculdade de Ci\u00eancias, Universidade do Porto, Rua do Campo Alegre 687, 4169-007 Porto, Portugal","institution_ids":["https://openalex.org/I182534213"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5079582750","display_name":"Alfredo Costa","orcid":"https://orcid.org/0000-0001-5906-965X"},"institutions":[{"id":"https://openalex.org/I76903346","display_name":"University of Coimbra","ror":"https://ror.org/04z8k9a98","country_code":"PT","type":"education","lineage":["https://openalex.org/I76903346"]}],"countries":["PT"],"is_corresponding":false,"raw_author_name":"ALFREDO COSTA","raw_affiliation_strings":["CMUC, Department of Mathematics, University of Coimbra, 3001-454 Coimbra, Portugal"],"affiliations":[{"raw_affiliation_string":"CMUC, Department of Mathematics, University of Coimbra, 3001-454 Coimbra, Portugal","institution_ids":["https://openalex.org/I76903346"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5021996338"],"corresponding_institution_ids":["https://openalex.org/I182534213"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.06712219,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"22","issue":"02","first_page":"1250018","last_page":"1250018"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11567","display_name":"semigroups and automata theory","score":1.0,"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"}},"topics":[{"id":"https://openalex.org/T11567","display_name":"semigroups and automata theory","score":1.0,"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/T12029","display_name":"DNA and Biological Computing","score":0.998199999332428,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"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/T12162","display_name":"Cellular Automata and Applications","score":0.9922999739646912,"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/mathematics","display_name":"Mathematics","score":0.8998672962188721},{"id":"https://openalex.org/keywords/semigroup","display_name":"Semigroup","score":0.7997794151306152},{"id":"https://openalex.org/keywords/aperiodic-graph","display_name":"Aperiodic graph","score":0.7990751266479492},{"id":"https://openalex.org/keywords/inverse-semigroup","display_name":"Inverse semigroup","score":0.7097628712654114},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.6428207755088806},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.5981519818305969},{"id":"https://openalex.org/keywords/inverse-limit","display_name":"Inverse limit","score":0.556050717830658},{"id":"https://openalex.org/keywords/special-classes-of-semigroups","display_name":"Special classes of semigroups","score":0.5533506870269775},{"id":"https://openalex.org/keywords/automaton","display_name":"Automaton","score":0.5453157424926758},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4677481949329376},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.462558388710022},{"id":"https://openalex.org/keywords/bicyclic-semigroup","display_name":"Bicyclic semigroup","score":0.4172028601169586},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.40191176533699036},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.07539874315261841},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.056837618350982666},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.054872721433639526}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8998672962188721},{"id":"https://openalex.org/C207405024","wikidata":"https://www.wikidata.org/wiki/Q207348","display_name":"Semigroup","level":2,"score":0.7997794151306152},{"id":"https://openalex.org/C104247578","wikidata":"https://www.wikidata.org/wiki/Q4779368","display_name":"Aperiodic graph","level":2,"score":0.7990751266479492},{"id":"https://openalex.org/C2778508345","wikidata":"https://www.wikidata.org/wiki/Q3022118","display_name":"Inverse semigroup","level":3,"score":0.7097628712654114},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.6428207755088806},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.5981519818305969},{"id":"https://openalex.org/C53936288","wikidata":"https://www.wikidata.org/wiki/Q2634828","display_name":"Inverse limit","level":2,"score":0.556050717830658},{"id":"https://openalex.org/C46149467","wikidata":"https://www.wikidata.org/wiki/Q7574800","display_name":"Special classes of semigroups","level":3,"score":0.5533506870269775},{"id":"https://openalex.org/C112505250","wikidata":"https://www.wikidata.org/wiki/Q787116","display_name":"Automaton","level":2,"score":0.5453157424926758},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4677481949329376},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.462558388710022},{"id":"https://openalex.org/C40417594","wikidata":"https://www.wikidata.org/wiki/Q3022111","display_name":"Bicyclic semigroup","level":3,"score":0.4172028601169586},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.40191176533699036},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07539874315261841},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.056837618350982666},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.054872721433639526},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s021819671250018x","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s021819671250018x","pdf_url":null,"source":{"id":"https://openalex.org/S23260266","display_name":"International Journal of Algebra and Computation","issn_l":"0218-1967","issn":["0218-1967","1793-6500"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Algebra and Computation","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W42091839","https://openalex.org/W61795437","https://openalex.org/W67338565","https://openalex.org/W584208200","https://openalex.org/W590387709","https://openalex.org/W1531958013","https://openalex.org/W1533648993","https://openalex.org/W1586417893","https://openalex.org/W1600140231","https://openalex.org/W1966764205","https://openalex.org/W1971955757","https://openalex.org/W1978132406","https://openalex.org/W1996191328","https://openalex.org/W2014844984","https://openalex.org/W2032833010","https://openalex.org/W2047703421","https://openalex.org/W2055592177","https://openalex.org/W2066134710","https://openalex.org/W2107622588","https://openalex.org/W2166698119","https://openalex.org/W2169485367","https://openalex.org/W2187202169","https://openalex.org/W2196559987","https://openalex.org/W2268877421","https://openalex.org/W4299651338"],"related_works":["https://openalex.org/W3200179526","https://openalex.org/W4250486651","https://openalex.org/W1965539507","https://openalex.org/W3024725012","https://openalex.org/W2038752011","https://openalex.org/W3043939538","https://openalex.org/W1985929360","https://openalex.org/W2008928562","https://openalex.org/W2391723581","https://openalex.org/W2090966910"],"abstract_inverted_index":{"Rauzy":[0],"graphs":[1],"of":[2,24,34,38,42],"subshifts":[3],"are":[4],"endowed":[5],"with":[6],"an":[7],"automaton":[8],"structure.":[9],"For":[10],"Sturmian":[11],"subshifts,":[12],"it":[13,70],"is":[14,20,46,51,57],"shown":[15],"that":[16],"its":[17],"transition":[18,44],"semigroup":[19,23],"the":[21,25,29,35,49,64,72],"syntactic":[22],"language":[26],"recognized":[27],"by":[28],"automaton.":[30],"An":[31],"inverse":[32,55],"limit":[33,56],"partial":[36,61],"semigroups":[37,45],"nonzero":[39],"regular":[40],"elements":[41],"their":[43],"described.":[47],"If":[48],"subshift":[50],"minimal,":[52],"then":[53],"this":[54],"isomorphic,":[58],"as":[59],"a":[60],"semigroup,":[62],"to":[63,69],"[Formula:":[65],"see":[66],"text]-class":[67],"associated":[68],"in":[71],"free":[73],"pro-aperiodic":[74],"semigroup.":[75]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
