{"id":"https://openalex.org/W1546216597","doi":"https://doi.org/10.1007/978-3-642-13089-2_8","title":"Abelian Square-Free Partial Words","display_name":"Abelian Square-Free Partial Words","publication_year":2010,"publication_date":"2010-01-01","ids":{"openalex":"https://openalex.org/W1546216597","doi":"https://doi.org/10.1007/978-3-642-13089-2_8","mag":"1546216597"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-13089-2_8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-13089-2_8","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"conference-paper","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/A5034611719","display_name":"F. Blanchet-Sadri","orcid":null},"institutions":[{"id":"https://openalex.org/I169335092","display_name":"University of North Carolina at Greensboro","ror":"https://ror.org/04fnxsj42","country_code":"US","type":"education","lineage":["https://openalex.org/I169335092"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Francine Blanchet-Sadri","raw_affiliation_strings":["Department of Computer Science, University of North Carolina, P.O. Box 26170, Greensboro, NC, 27402\u20136170, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of North Carolina, P.O. Box 26170, Greensboro, NC, 27402\u20136170, USA","institution_ids":["https://openalex.org/I169335092"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5022903270","display_name":"Jane I. Kim","orcid":null},"institutions":[{"id":"https://openalex.org/I78577930","display_name":"Columbia University","ror":"https://ror.org/00hj8s172","country_code":"US","type":"education","lineage":["https://openalex.org/I78577930"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jane I. Kim","raw_affiliation_strings":["Department of Mathematics, Columbia University, 2960 Broadway, New York, NY 10027-6902, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Columbia University, 2960 Broadway, New York, NY 10027-6902, USA","institution_ids":["https://openalex.org/I78577930"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5049507611","display_name":"Robert Merca\u015f","orcid":"https://orcid.org/0000-0001-6034-433X"},"institutions":[{"id":"https://openalex.org/I63772739","display_name":"Florida Atlantic University","ror":"https://ror.org/05p8w6387","country_code":"US","type":"education","lineage":["https://openalex.org/I63772739"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Robert Merca\u015f","raw_affiliation_strings":["Harriet L. Wilkes Honors College, Florida Atlantic University, 5353 Parkside Dr., Jupiter, FL, 33458, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Harriet L. Wilkes Honors College, Florida Atlantic University, 5353 Parkside Dr., Jupiter, FL, 33458, USA","institution_ids":["https://openalex.org/I63772739"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5054738532","display_name":"William Severa","orcid":"https://orcid.org/0000-0002-8740-220X"},"institutions":[{"id":"https://openalex.org/I55952717","display_name":"Universitat Rovira i Virgili","ror":"https://ror.org/00g5sqv46","country_code":"ES","type":"education","lineage":["https://openalex.org/I55952717"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"William Severa","raw_affiliation_strings":["Departament de Filologies Rom\u00e0niques, GRLMC, Universitat Rovira i Virgili, Av. Catalunya 35, Tarragona, 43002, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departament de Filologies Rom\u00e0niques, GRLMC, Universitat Rovira i Virgili, Av. Catalunya 35, Tarragona, 43002, Spain","institution_ids":["https://openalex.org/I55952717"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5017886169","display_name":"Sean Simmons","orcid":"https://orcid.org/0000-0002-1537-4000"},"institutions":[{"id":"https://openalex.org/I86519309","display_name":"The University of Texas at Austin","ror":"https://ror.org/00hj54h04","country_code":"US","type":"education","lineage":["https://openalex.org/I86519309"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Sean Simmons","raw_affiliation_strings":["Department of Mathematics, University of Texas at Austin, 1 University Station C1200, Austin, TX, 78712-0233, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Texas at Austin, 1 University Station C1200, Austin, TX, 78712-0233, USA","institution_ids":["https://openalex.org/I86519309"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5034611719","https://openalex.org/A5049507611"],"corresponding_institution_ids":["https://openalex.org/I169335092","https://openalex.org/I63772739"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":2.1915,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.864166,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"94","last_page":"105"},"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/T12162","display_name":"Cellular Automata and Applications","score":0.996999979019165,"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":0.9969000220298767,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/abelian-group","display_name":"Abelian group","score":0.8032721281051636},{"id":"https://openalex.org/keywords/alphabet","display_name":"Alphabet","score":0.6387342810630798},{"id":"https://openalex.org/keywords/square","display_name":"Square (algebra)","score":0.6094292402267456},{"id":"https://openalex.org/keywords/combinatorics-on-words","display_name":"Combinatorics on words","score":0.5744504928588867},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5646468997001648},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5114061236381531},{"id":"https://openalex.org/keywords/square-free-integer","display_name":"Square-free integer","score":0.45203131437301636},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.36448657512664795},{"id":"https://openalex.org/keywords/word","display_name":"Word (group theory)","score":0.2533932626247406},{"id":"https://openalex.org/keywords/linguistics","display_name":"Linguistics","score":0.0940433144569397},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.05206117033958435}],"concepts":[{"id":"https://openalex.org/C136170076","wikidata":"https://www.wikidata.org/wiki/Q181296","display_name":"Abelian group","level":2,"score":0.8032721281051636},{"id":"https://openalex.org/C112876837","wikidata":"https://www.wikidata.org/wiki/Q837518","display_name":"Alphabet","level":2,"score":0.6387342810630798},{"id":"https://openalex.org/C135692309","wikidata":"https://www.wikidata.org/wiki/Q111124","display_name":"Square (algebra)","level":2,"score":0.6094292402267456},{"id":"https://openalex.org/C164804908","wikidata":"https://www.wikidata.org/wiki/Q2985058","display_name":"Combinatorics on words","level":3,"score":0.5744504928588867},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5646468997001648},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5114061236381531},{"id":"https://openalex.org/C188139237","wikidata":"https://www.wikidata.org/wiki/Q50706","display_name":"Square-free integer","level":2,"score":0.45203131437301636},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.36448657512664795},{"id":"https://openalex.org/C90805587","wikidata":"https://www.wikidata.org/wiki/Q10944557","display_name":"Word (group theory)","level":2,"score":0.2533932626247406},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0940433144569397},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.05206117033958435},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-642-13089-2_8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-13089-2_8","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/4","score":0.6299999952316284,"display_name":"Quality Education"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W181313868","https://openalex.org/W1537696453","https://openalex.org/W1549821250","https://openalex.org/W1589421353","https://openalex.org/W1967905977","https://openalex.org/W1994676950","https://openalex.org/W2016376081","https://openalex.org/W2017131087","https://openalex.org/W2020326682","https://openalex.org/W2022723708","https://openalex.org/W2047107624","https://openalex.org/W2056539009","https://openalex.org/W2062997012","https://openalex.org/W2074547893","https://openalex.org/W2078173764","https://openalex.org/W2080123161","https://openalex.org/W2136069334","https://openalex.org/W2136210216","https://openalex.org/W2143943120","https://openalex.org/W2400010728"],"related_works":["https://openalex.org/W2980022841","https://openalex.org/W2015232716","https://openalex.org/W4220736324","https://openalex.org/W109262676","https://openalex.org/W2963534902","https://openalex.org/W2131864548","https://openalex.org/W4298870704","https://openalex.org/W3011226720","https://openalex.org/W4287231885","https://openalex.org/W3156499996"],"abstract_inverted_index":null,"counts_by_year":[{"year":2016,"cited_by_count":2},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":3}],"updated_date":"2026-08-04T08:18:43.703281","created_date":"2025-10-10T00:00:00"}