{"id":"https://openalex.org/W2273472658","doi":"https://doi.org/10.1007/978-3-319-23660-5_19","title":"On the Tree of Ternary Square-Free Words","display_name":"On the Tree of Ternary Square-Free Words","publication_year":2015,"publication_date":"2015-01-01","ids":{"openalex":"https://openalex.org/W2273472658","doi":"https://doi.org/10.1007/978-3-319-23660-5_19","mag":"2273472658"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-319-23660-5_19","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-23660-5_19","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":"book-chapter","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/A5007984577","display_name":"Elena A. Petrova","orcid":"https://orcid.org/0000-0002-2298-1431"},"institutions":[{"id":"https://openalex.org/I130823665","display_name":"Ural Federal University","ror":"https://ror.org/00hs7dr46","country_code":"RU","type":"education","lineage":["https://openalex.org/I130823665"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"Elena A. Petrova","raw_affiliation_strings":["Ural Federal University, Ekaterinburg, Russia"],"affiliations":[{"raw_affiliation_string":"Ural Federal University, Ekaterinburg, Russia","institution_ids":["https://openalex.org/I130823665"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5063068146","display_name":"Arseny M. Shur","orcid":"https://orcid.org/0000-0002-7812-3399"},"institutions":[{"id":"https://openalex.org/I130823665","display_name":"Ural Federal University","ror":"https://ror.org/00hs7dr46","country_code":"RU","type":"education","lineage":["https://openalex.org/I130823665"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Arseny M. Shur","raw_affiliation_strings":["Ural Federal University, Ekaterinburg, Russia"],"affiliations":[{"raw_affiliation_string":"Ural Federal University, Ekaterinburg, Russia","institution_ids":["https://openalex.org/I130823665"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5007984577"],"corresponding_institution_ids":["https://openalex.org/I130823665"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":1.3882,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.81191848,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"223","last_page":"236"},"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/T11269","display_name":"Algorithms and Data Compression","score":0.9997000098228455,"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"}},{"id":"https://openalex.org/T12072","display_name":"Machine Learning and Algorithms","score":0.9958000183105469,"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/prefix","display_name":"Prefix","score":0.6684885025024414},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.593281626701355},{"id":"https://openalex.org/keywords/path","display_name":"Path (computing)","score":0.5846683979034424},{"id":"https://openalex.org/keywords/tree","display_name":"Tree (set theory)","score":0.5624393820762634},{"id":"https://openalex.org/keywords/trie","display_name":"Trie","score":0.5582253932952881},{"id":"https://openalex.org/keywords/branching","display_name":"Branching (polymer chemistry)","score":0.5487074851989746},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5095763206481934},{"id":"https://openalex.org/keywords/binary-tree","display_name":"Binary tree","score":0.4760548770427704},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.47533655166625977},{"id":"https://openalex.org/keywords/square","display_name":"Square (algebra)","score":0.44335469603538513},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4295578896999359},{"id":"https://openalex.org/keywords/ternary-operation","display_name":"Ternary operation","score":0.4256264567375183},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4237598180770874},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.37601497769355774},{"id":"https://openalex.org/keywords/data-structure","display_name":"Data structure","score":0.27376338839530945},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.07744964957237244}],"concepts":[{"id":"https://openalex.org/C141603448","wikidata":"https://www.wikidata.org/wiki/Q134830","display_name":"Prefix","level":2,"score":0.6684885025024414},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.593281626701355},{"id":"https://openalex.org/C2777735758","wikidata":"https://www.wikidata.org/wiki/Q817765","display_name":"Path (computing)","level":2,"score":0.5846683979034424},{"id":"https://openalex.org/C113174947","wikidata":"https://www.wikidata.org/wiki/Q2859736","display_name":"Tree (set theory)","level":2,"score":0.5624393820762634},{"id":"https://openalex.org/C190290938","wikidata":"https://www.wikidata.org/wiki/Q387015","display_name":"Trie","level":3,"score":0.5582253932952881},{"id":"https://openalex.org/C206175624","wikidata":"https://www.wikidata.org/wiki/Q595731","display_name":"Branching (polymer chemistry)","level":2,"score":0.5487074851989746},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5095763206481934},{"id":"https://openalex.org/C197855036","wikidata":"https://www.wikidata.org/wiki/Q380172","display_name":"Binary tree","level":2,"score":0.4760548770427704},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.47533655166625977},{"id":"https://openalex.org/C135692309","wikidata":"https://www.wikidata.org/wiki/Q111124","display_name":"Square (algebra)","level":2,"score":0.44335469603538513},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4295578896999359},{"id":"https://openalex.org/C64452783","wikidata":"https://www.wikidata.org/wiki/Q1524945","display_name":"Ternary operation","level":2,"score":0.4256264567375183},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4237598180770874},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.37601497769355774},{"id":"https://openalex.org/C162319229","wikidata":"https://www.wikidata.org/wiki/Q175263","display_name":"Data structure","level":2,"score":0.27376338839530945},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.07744964957237244},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","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/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-319-23660-5_19","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-23660-5_19","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":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W24498335","https://openalex.org/W1967466192","https://openalex.org/W1980322817","https://openalex.org/W1986611537","https://openalex.org/W2021093608","https://openalex.org/W2029049420","https://openalex.org/W2047897736","https://openalex.org/W2083930353","https://openalex.org/W2086965829","https://openalex.org/W2280268851","https://openalex.org/W2963348725","https://openalex.org/W3081952542"],"related_works":["https://openalex.org/W104884668","https://openalex.org/W54192826","https://openalex.org/W2074308207","https://openalex.org/W2395357979","https://openalex.org/W2795037468","https://openalex.org/W3092113474","https://openalex.org/W1754202134","https://openalex.org/W2800763970","https://openalex.org/W2992809476","https://openalex.org/W1997112896"],"abstract_inverted_index":null,"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}