{"id":"https://openalex.org/W1748975720","doi":"https://doi.org/10.1007/978-3-319-23660-5_10","title":"The Degree of Squares is an Atom","display_name":"The Degree of Squares is an Atom","publication_year":2015,"publication_date":"2015-01-01","ids":{"openalex":"https://openalex.org/W1748975720","doi":"https://doi.org/10.1007/978-3-319-23660-5_10","mag":"1748975720"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-319-23660-5_10","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-23660-5_10","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":true,"oa_status":"green","oa_url":"http://hdl.handle.net/2066/143773","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5029479330","display_name":"J\u00f6rg Endrullis","orcid":"https://orcid.org/0000-0002-2554-8270"},"institutions":[{"id":"https://openalex.org/I865915315","display_name":"Vrije Universiteit Amsterdam","ror":"https://ror.org/008xxew50","country_code":"NL","type":"education","lineage":["https://openalex.org/I865915315"]}],"countries":["NL"],"is_corresponding":true,"raw_author_name":"J\u00f6rg Endrullis","raw_affiliation_strings":["Department of Computer Science, VU University Amsterdam, Amsterdam, Netherlands"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, VU University Amsterdam, Amsterdam, Netherlands","institution_ids":["https://openalex.org/I865915315"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5078432736","display_name":"Clemens Grabmayer","orcid":null},"institutions":[{"id":"https://openalex.org/I865915315","display_name":"Vrije Universiteit Amsterdam","ror":"https://ror.org/008xxew50","country_code":"NL","type":"education","lineage":["https://openalex.org/I865915315"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Clemens Grabmayer","raw_affiliation_strings":["Department of Computer Science, VU University Amsterdam, Amsterdam, Netherlands"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, VU University Amsterdam, Amsterdam, Netherlands","institution_ids":["https://openalex.org/I865915315"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5026514058","display_name":"Dimitri Hendriks","orcid":null},"institutions":[{"id":"https://openalex.org/I865915315","display_name":"Vrije Universiteit Amsterdam","ror":"https://ror.org/008xxew50","country_code":"NL","type":"education","lineage":["https://openalex.org/I865915315"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Dimitri Hendriks","raw_affiliation_strings":["Department of Computer Science, VU University Amsterdam, Amsterdam, Netherlands"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, VU University Amsterdam, Amsterdam, Netherlands","institution_ids":["https://openalex.org/I865915315"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5080214204","display_name":"Hans Zantema","orcid":null},"institutions":[{"id":"https://openalex.org/I145872427","display_name":"Radboud University Nijmegen","ror":"https://ror.org/016xsfp80","country_code":"NL","type":"education","lineage":["https://openalex.org/I145872427"]},{"id":"https://openalex.org/I83019370","display_name":"Eindhoven University of Technology","ror":"https://ror.org/02c2kyt77","country_code":"NL","type":"education","lineage":["https://openalex.org/I83019370"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Hans Zantema","raw_affiliation_strings":["Department of Computer Science, Eindhoven University of Technology, Eindhoven, Netherlands","Institute for Computing and Information Science, Radboud University Nijmegen, Nijmegen, Netherlands","Eindhoven University of Technology","Radboud University Nijmegen"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Eindhoven University of Technology, Eindhoven, Netherlands","institution_ids":["https://openalex.org/I83019370"]},{"raw_affiliation_string":"Institute for Computing and Information Science, Radboud University Nijmegen, Nijmegen, Netherlands","institution_ids":["https://openalex.org/I145872427"]},{"raw_affiliation_string":"Eindhoven University of Technology","institution_ids":["https://openalex.org/I83019370"]},{"raw_affiliation_string":"Radboud University Nijmegen","institution_ids":["https://openalex.org/I145872427"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5029479330"],"corresponding_institution_ids":["https://openalex.org/I865915315"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":2.7649,"has_fulltext":true,"cited_by_count":10,"citation_normalized_percentile":{"value":0.89725421,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"109","last_page":"121"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11567","display_name":"semigroups and automata theory","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9972000122070312,"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/T12162","display_name":"Cellular Automata and Applications","score":0.9968000054359436,"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/degree","display_name":"Degree (music)","score":0.8594196438789368},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.6977915167808533},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.6837412714958191},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.624860405921936},{"id":"https://openalex.org/keywords/atom","display_name":"Atom (system on chip)","score":0.5968689918518066},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5465537905693054},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.465213805437088},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.4584360718727112},{"id":"https://openalex.org/keywords/degree-of-a-polynomial","display_name":"Degree of a polynomial","score":0.41542285680770874},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.33195164799690247},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2554488778114319},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1952914595603943},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.18261519074440002},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.12396940588951111}],"concepts":[{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.8594196438789368},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.6977915167808533},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.6837412714958191},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.624860405921936},{"id":"https://openalex.org/C58312451","wikidata":"https://www.wikidata.org/wiki/Q4817200","display_name":"Atom (system on chip)","level":2,"score":0.5968689918518066},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5465537905693054},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.465213805437088},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.4584360718727112},{"id":"https://openalex.org/C25878781","wikidata":"https://www.wikidata.org/wiki/Q1473607","display_name":"Degree of a polynomial","level":3,"score":0.41542285680770874},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.33195164799690247},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2554488778114319},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1952914595603943},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.18261519074440002},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.12396940588951111},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0},{"id":"https://openalex.org/C149635348","wikidata":"https://www.wikidata.org/wiki/Q193040","display_name":"Embedded system","level":1,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","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/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":7,"locations":[{"id":"doi:10.1007/978-3-319-23660-5_10","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-23660-5_10","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"},{"id":"pmh:oai:pure.tue.nl:openaire_cris_publications/5ccf13d8-0ad8-4e55-aad1-547f8c363aaf","is_oa":false,"landing_page_url":"https://research.tue.nl/en/publications/5ccf13d8-0ad8-4e55-aad1-547f8c363aaf","pdf_url":null,"source":{"id":"https://openalex.org/S4406922641","display_name":"TU/e Research Portal","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Endrullis, J, Grabmayer, C A, Hendriks, D & Zantema, H 2015, The degree of squares is an atom. in Combinatorics on Words: 10th International Conference, WORDS 2015. Lecture Notes in Computer Science, Springer, Amsterdam, pp. 109-121, 10th international conference WORDS 2015, Kiel, Germany, 14/09/15. https://doi.org/10.1007/978-3-319-23660-5_10","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:research.vu.nl:openaire_cris_publications/16954d0c-34eb-4f3b-8b21-32262ff0269e","is_oa":false,"landing_page_url":"https://research.vu.nl/en/publications/16954d0c-34eb-4f3b-8b21-32262ff0269e","pdf_url":null,"source":{"id":"https://openalex.org/S4306401107","display_name":"VU Research Portal","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I865915315","host_organization_name":"Vrije Universiteit Amsterdam","host_organization_lineage":["https://openalex.org/I865915315"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Endrullis, J, Grabmayer, C, Hendriks, D & Zantema, H 2015, The Degrees of Squares is an Atom. in Combinatorics on Words - 10th International Conference, WORDS 2015, Proceedings. vol. 9304, Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 9304, Springer/Verlag, pp. 109-121, 10th International Conference on Words, WORDS 2015, Kiel, Germany, 14/09/15. https://doi.org/10.1007/978-3-319-23660-5_10","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:repository.ubn.ru.nl:2066/143773","is_oa":true,"landing_page_url":"http://hdl.handle.net/2066/143773","pdf_url":"http://hdl.handle.net/2066/143773","source":{"id":"https://openalex.org/S4306401067","display_name":"Radboud Repository (Radboud University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I145872427","host_organization_name":"Radboud University Nijmegen","host_organization_lineage":["https://openalex.org/I145872427"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Manea, F.; Nowotka, D. (ed.), Combinatorics on Words : 10th International Conference, WORDS 2015, Kiel, Germany, September 14-17, 2015, Proceedings, pp. 109-121","raw_type":"Part of book or chapter of book"},{"id":"pmh:oai:library.tue.nl:903308","is_oa":false,"landing_page_url":"http://repository.tue.nl/903308","pdf_url":null,"source":{"id":"https://openalex.org/S4406923046","display_name":"TU/e Research Portal (Eindhoven University of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":""},{"id":"pmh:oai:research.vu.nl:publications/16954d0c-34eb-4f3b-8b21-32262ff0269e","is_oa":false,"landing_page_url":"http://www.scopus.com/inward/record.url?scp=84945946685&partnerID=8YFLogxK","pdf_url":null,"source":{"id":"https://openalex.org/S4306401107","display_name":"VU Research Portal","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I865915315","host_organization_name":"Vrije Universiteit Amsterdam","host_organization_lineage":["https://openalex.org/I865915315"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Endrullis, J, Grabmayer, C, Hendriks, D & Zantema, H 2015, The Degrees of Squares is an Atom. in Combinatorics on Words - 10th International Conference, WORDS 2015, Proceedings. vol. 9304, Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 9304, Springer/Verlag, pp. 109-121, 10th International Conference on Words, WORDS 2015, Kiel, Germany, 14/09/15. https://doi.org/10.1007/978-3-319-23660-5_10","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:tue:oai:pure.tue.nl:publications/5ccf13d8-0ad8-4e55-aad1-547f8c363aaf","is_oa":false,"landing_page_url":"https://research.tue.nl/nl/publications/5ccf13d8-0ad8-4e55-aad1-547f8c363aaf","pdf_url":null,"source":{"id":"https://openalex.org/S4306401843","display_name":"Data Archiving and Networked Services (DANS)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1322597698","host_organization_name":"Royal Netherlands Academy of Arts and Sciences","host_organization_lineage":["https://openalex.org/I1322597698"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Combinatorics on Words: 10th International Conference, WORDS 2015, 109 - 121","raw_type":"info:eu-repo/semantics/conferencepaper"}],"best_oa_location":{"id":"pmh:oai:repository.ubn.ru.nl:2066/143773","is_oa":true,"landing_page_url":"http://hdl.handle.net/2066/143773","pdf_url":"http://hdl.handle.net/2066/143773","source":{"id":"https://openalex.org/S4306401067","display_name":"Radboud Repository (Radboud University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I145872427","host_organization_name":"Radboud University Nijmegen","host_organization_lineage":["https://openalex.org/I145872427"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Manea, F.; Nowotka, D. (ed.), Combinatorics on Words : 10th International Conference, WORDS 2015, Kiel, Germany, September 14-17, 2015, Proceedings, pp. 109-121","raw_type":"Part of book or chapter of book"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1748975720.pdf","grobid_xml":"https://content.openalex.org/works/W1748975720.grobid-xml"},"referenced_works_count":8,"referenced_works":["https://openalex.org/W1584451387","https://openalex.org/W1748975720","https://openalex.org/W1963890729","https://openalex.org/W2022485134","https://openalex.org/W2163285607","https://openalex.org/W2241862745","https://openalex.org/W3012965785","https://openalex.org/W4206411814"],"related_works":["https://openalex.org/W2138856444","https://openalex.org/W3121083392","https://openalex.org/W4287394691","https://openalex.org/W4306167235","https://openalex.org/W4285300817","https://openalex.org/W4213372917","https://openalex.org/W70420423","https://openalex.org/W4225725618","https://openalex.org/W4307330758","https://openalex.org/W4280495132"],"abstract_inverted_index":null,"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":2}],"updated_date":"2026-04-30T09:15:22.047038","created_date":"2025-10-10T00:00:00"}
