{"id":"https://openalex.org/W1898220519","doi":"https://doi.org/10.37236/4771","title":"On Periodicity of Generalized Pseudostandard Words","display_name":"On Periodicity of Generalized Pseudostandard Words","publication_year":2016,"publication_date":"2016-01-11","ids":{"openalex":"https://openalex.org/W1898220519","doi":"https://doi.org/10.37236/4771","mag":"1898220519"},"language":"en","primary_location":{"id":"doi:10.37236/4771","is_oa":true,"landing_page_url":"https://doi.org/10.37236/4771","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v23i1p2/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":"preprint","indexed_in":["arxiv","crossref","datacite","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v23i1p2/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5060404837","display_name":"Josef Florian","orcid":null},"institutions":[{"id":"https://openalex.org/I44504214","display_name":"Czech Technical University in Prague","ror":"https://ror.org/03kqpb082","country_code":"CZ","type":"education","lineage":["https://openalex.org/I44504214"]}],"countries":["CZ"],"is_corresponding":true,"raw_author_name":"Josef Florian","raw_affiliation_strings":["Czech Technical University in Prague, Faculty of Nuclear Sciences and Physical Engineering, Department of Mathematics","Czech Technical Univ. in Prague"],"affiliations":[{"raw_affiliation_string":"Czech Technical University in Prague, Faculty of Nuclear Sciences and Physical Engineering, Department of Mathematics","institution_ids":["https://openalex.org/I44504214"]},{"raw_affiliation_string":"Czech Technical Univ. in Prague","institution_ids":["https://openalex.org/I44504214"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5059406138","display_name":"\u013dubom\u00edra Dvo\u0159\u00e1kov\u00e1","orcid":"https://orcid.org/0000-0001-7208-4248"},"institutions":[{"id":"https://openalex.org/I44504214","display_name":"Czech Technical University in Prague","ror":"https://ror.org/03kqpb082","country_code":"CZ","type":"education","lineage":["https://openalex.org/I44504214"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"L'ubom\u00edra Dvo\u0159\u00e1kov\u00e1","raw_affiliation_strings":["Czech Technical University in Prague, Faculty of Nuclear Sciences and Physical Engineering, Department of Mathematics","born Balkova"],"affiliations":[{"raw_affiliation_string":"Czech Technical University in Prague, Faculty of Nuclear Sciences and Physical Engineering, Department of Mathematics","institution_ids":["https://openalex.org/I44504214"]},{"raw_affiliation_string":"born Balkova","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5060404837"],"corresponding_institution_ids":["https://openalex.org/I44504214"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.00630609,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"23","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11567","display_name":"semigroups and automata theory","score":0.9998000264167786,"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":0.9998000264167786,"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/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9879000186920166,"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/T10126","display_name":"Logic, programming, and type systems","score":0.9763000011444092,"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/palindrome","display_name":"Palindrome","score":0.7942361831665039},{"id":"https://openalex.org/keywords/alphabet","display_name":"Alphabet","score":0.709584653377533},{"id":"https://openalex.org/keywords/closure","display_name":"Closure (psychology)","score":0.7064766883850098},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6473348140716553},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.6469772458076477},{"id":"https://openalex.org/keywords/word","display_name":"Word (group theory)","score":0.6414335370063782},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.6167733073234558},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.46091726422309875},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4342593252658844},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3778466284275055},{"id":"https://openalex.org/keywords/linguistics","display_name":"Linguistics","score":0.1811719536781311}],"concepts":[{"id":"https://openalex.org/C44667518","wikidata":"https://www.wikidata.org/wiki/Q12321","display_name":"Palindrome","level":4,"score":0.7942361831665039},{"id":"https://openalex.org/C112876837","wikidata":"https://www.wikidata.org/wiki/Q837518","display_name":"Alphabet","level":2,"score":0.709584653377533},{"id":"https://openalex.org/C146834321","wikidata":"https://www.wikidata.org/wiki/Q2979672","display_name":"Closure (psychology)","level":2,"score":0.7064766883850098},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6473348140716553},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.6469772458076477},{"id":"https://openalex.org/C90805587","wikidata":"https://www.wikidata.org/wiki/Q10944557","display_name":"Word (group theory)","level":2,"score":0.6414335370063782},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.6167733073234558},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.46091726422309875},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4342593252658844},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3778466284275055},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.1811719536781311},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"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/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C98108389","wikidata":"https://www.wikidata.org/wiki/Q412563","display_name":"CRISPR","level":3,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0},{"id":"https://openalex.org/C34447519","wikidata":"https://www.wikidata.org/wiki/Q179522","display_name":"Market economy","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.37236/4771","is_oa":true,"landing_page_url":"https://doi.org/10.37236/4771","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v23i1p2/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"},{"id":"pmh:oai:arXiv.org:1508.02020","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1508.02020","pdf_url":"https://arxiv.org/pdf/1508.02020","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":"mag:1898220519","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1508.02020","pdf_url":null,"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":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.1508.02020","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1508.02020","pdf_url":null,"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":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"doi:10.37236/4771","is_oa":true,"landing_page_url":"https://doi.org/10.37236/4771","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v23i1p2/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":[{"id":"https://metadata.un.org/sdg/4","score":0.5799999833106995,"display_name":"Quality Education"}],"awards":[{"id":"https://openalex.org/G1422231492","display_name":null,"funder_award_id":"13-03538S","funder_id":"https://openalex.org/F4320321006","funder_display_name":"Grantov\u00e1 Agentura \u010cesk\u00e9 Republiky"},{"id":"https://openalex.org/G3655437767","display_name":null,"funder_award_id":"SGS14/205/OHK4/3T/14","funder_id":"https://openalex.org/F4320309972","funder_display_name":"\u010cesk\u00e9 Vysok\u00e9 U\u010den\u00ed Technick\u00e9 v Praze"}],"funders":[{"id":"https://openalex.org/F4320309972","display_name":"\u010cesk\u00e9 Vysok\u00e9 U\u010den\u00ed Technick\u00e9 v Praze","ror":"https://ror.org/03kqpb082"},{"id":"https://openalex.org/F4320321006","display_name":"Grantov\u00e1 Agentura \u010cesk\u00e9 Republiky","ror":"https://ror.org/01pv73b02"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1898220519.pdf","grobid_xml":"https://content.openalex.org/works/W1898220519.grobid-xml"},"referenced_works_count":7,"referenced_works":["https://openalex.org/W2005055946","https://openalex.org/W2005199334","https://openalex.org/W2032460544","https://openalex.org/W2036769664","https://openalex.org/W2317201179","https://openalex.org/W3157257698","https://openalex.org/W6699443240"],"related_works":["https://openalex.org/W2963891390","https://openalex.org/W3157257698","https://openalex.org/W2171696848","https://openalex.org/W1733778818","https://openalex.org/W2004595847","https://openalex.org/W2053072101","https://openalex.org/W2065492911","https://openalex.org/W2504466352","https://openalex.org/W3156499996","https://openalex.org/W2130075931","https://openalex.org/W2177150369","https://openalex.org/W1980577621","https://openalex.org/W2951994963","https://openalex.org/W2068953207","https://openalex.org/W2952852892","https://openalex.org/W2566543723","https://openalex.org/W3194783055","https://openalex.org/W2179147864","https://openalex.org/W2263044548","https://openalex.org/W2604132601"],"abstract_inverted_index":{"Generalized":[0],"pseudostandard":[1,34,67],"words":[2],"were":[3],"introduced":[4],"by":[5],"de":[6],"Luca":[7,10],"and":[8,18,30,43,52,89],"De":[9],"in":[11,73],"2006.":[12],"In":[13,36],"comparison":[14],"to":[15,70,75,77],"the":[16,26,31,61],"palindromic":[17],"pseudopalindromic":[19,28],"closure,":[20],"only":[21],"little":[22],"is":[23],"known":[24],"about":[25],"generalized":[27,33,66],"closure":[29],"associated":[32],"words.":[35],"this":[37],"paper":[38],"we":[39,58],"provide":[40],"a":[41,50,53,65,78,84,87],"necessary":[42,88],"sufficient":[44,90],"condition":[45,91],"for":[46,92],"their":[47],"periodicity":[48,93],"over":[49,94],"binary":[51],"ternary":[54],"alphabet.":[55,96],"More":[56],"precisely,":[57],"describe":[59],"how":[60],"directive":[62],"bi-sequence":[63],"of":[64],"word":[68],"has":[69],"look":[71],"like":[72],"order":[74],"correspond":[76],"periodic":[79],"word.":[80],"We":[81],"state":[82],"moreover":[83],"conjecture":[85],"concerning":[86],"any":[95]},"counts_by_year":[],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}
