{"id":"https://openalex.org/W2272542839","doi":"https://doi.org/10.1007/978-3-319-23660-5_14","title":"Square-Density Increasing Mappings","display_name":"Square-Density Increasing Mappings","publication_year":2015,"publication_date":"2015-01-01","ids":{"openalex":"https://openalex.org/W2272542839","doi":"https://doi.org/10.1007/978-3-319-23660-5_14","mag":"2272542839"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-319-23660-5_14","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-23660-5_14","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/A5006548981","display_name":"Flor\u00edn Manea","orcid":"https://orcid.org/0000-0001-6094-3324"},"institutions":[{"id":"https://openalex.org/I32021983","display_name":"Kiel University","ror":"https://ror.org/04v76ef78","country_code":"DE","type":"education","lineage":["https://openalex.org/I32021983"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Florin Manea","raw_affiliation_strings":["Department of Computer Science, Christian-Albrechts-Universit\u00e4t zu Kiel, Christian-Albrechts-Platz 4, 24118, Kiel, Germany","Universit\u00e4t Kiel, Kiel, Germany"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Christian-Albrechts-Universit\u00e4t zu Kiel, Christian-Albrechts-Platz 4, 24118, Kiel, Germany","institution_ids":["https://openalex.org/I32021983"]},{"raw_affiliation_string":"Universit\u00e4t Kiel, Kiel, Germany","institution_ids":["https://openalex.org/I32021983"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5002387043","display_name":"Shinnosuke Seki","orcid":"https://orcid.org/0000-0002-0276-3322"},"institutions":[{"id":"https://openalex.org/I20529979","display_name":"University of Electro-Communications","ror":"https://ror.org/02x73b849","country_code":"JP","type":"education","lineage":["https://openalex.org/I20529979"]},{"id":"https://openalex.org/I32943570","display_name":"Helsinki Institute for Information Technology","ror":"https://ror.org/05kph4940","country_code":"FI","type":"facility","lineage":["https://openalex.org/I133731052","https://openalex.org/I32943570","https://openalex.org/I9927081"]},{"id":"https://openalex.org/I9927081","display_name":"Aalto University","ror":"https://ror.org/020hwjq30","country_code":"FI","type":"education","lineage":["https://openalex.org/I9927081"]}],"countries":["FI","JP"],"is_corresponding":true,"raw_author_name":"Shinnosuke Seki","raw_affiliation_strings":["Department of Communication Engineering and Informatics, University of Electro-Communications, 1-5-1, Chofugaoka, Chofu, Tokyo, 1828585, Japan","Department of Computer Science, Aalto University, P.\u00a0O.\u00a0Box 15400, 00076, Aalto, Finland","Helsinki Institute for Information Technology (HIIT), Espoo, Finland"],"affiliations":[{"raw_affiliation_string":"Department of Communication Engineering and Informatics, University of Electro-Communications, 1-5-1, Chofugaoka, Chofu, Tokyo, 1828585, Japan","institution_ids":["https://openalex.org/I20529979"]},{"raw_affiliation_string":"Department of Computer Science, Aalto University, P.\u00a0O.\u00a0Box 15400, 00076, Aalto, Finland","institution_ids":["https://openalex.org/I9927081"]},{"raw_affiliation_string":"Helsinki Institute for Information Technology (HIIT), Espoo, Finland","institution_ids":["https://openalex.org/I32943570"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5002387043"],"corresponding_institution_ids":["https://openalex.org/I20529979","https://openalex.org/I32943570","https://openalex.org/I9927081"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":2.3137,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.88236597,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"160","last_page":"169"},"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/T11130","display_name":"Coding theory and cryptography","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"}},{"id":"https://openalex.org/T11269","display_name":"Algorithms and Data Compression","score":0.9933000206947327,"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/conjecture","display_name":"Conjecture","score":0.8718722462654114},{"id":"https://openalex.org/keywords/alphabet","display_name":"Alphabet","score":0.8062264323234558},{"id":"https://openalex.org/keywords/square","display_name":"Square (algebra)","score":0.7887594699859619},{"id":"https://openalex.org/keywords/unary-operation","display_name":"Unary operation","score":0.7570714354515076},{"id":"https://openalex.org/keywords/word","display_name":"Word (group theory)","score":0.7023219466209412},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.5680384039878845},{"id":"https://openalex.org/keywords/homomorphism","display_name":"Homomorphism","score":0.5317168235778809},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5041278600692749},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4964032769203186},{"id":"https://openalex.org/keywords/square-free-integer","display_name":"Square-free integer","score":0.4277162551879883},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4047339856624603},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3452070355415344},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.284113347530365},{"id":"https://openalex.org/keywords/linguistics","display_name":"Linguistics","score":0.10223105549812317}],"concepts":[{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.8718722462654114},{"id":"https://openalex.org/C112876837","wikidata":"https://www.wikidata.org/wiki/Q837518","display_name":"Alphabet","level":2,"score":0.8062264323234558},{"id":"https://openalex.org/C135692309","wikidata":"https://www.wikidata.org/wiki/Q111124","display_name":"Square (algebra)","level":2,"score":0.7887594699859619},{"id":"https://openalex.org/C78023250","wikidata":"https://www.wikidata.org/wiki/Q657596","display_name":"Unary operation","level":2,"score":0.7570714354515076},{"id":"https://openalex.org/C90805587","wikidata":"https://www.wikidata.org/wiki/Q10944557","display_name":"Word (group theory)","level":2,"score":0.7023219466209412},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.5680384039878845},{"id":"https://openalex.org/C4042151","wikidata":"https://www.wikidata.org/wiki/Q215111","display_name":"Homomorphism","level":2,"score":0.5317168235778809},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5041278600692749},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4964032769203186},{"id":"https://openalex.org/C188139237","wikidata":"https://www.wikidata.org/wiki/Q50706","display_name":"Square-free integer","level":2,"score":0.4277162551879883},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4047339856624603},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3452070355415344},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.284113347530365},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.10223105549812317},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"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:10.1007/978-3-319-23660-5_14","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-23660-5_14","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":[{"score":0.4000000059604645,"id":"https://metadata.un.org/sdg/4","display_name":"Quality Education"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":7,"referenced_works":["https://openalex.org/W166520803","https://openalex.org/W195053133","https://openalex.org/W1992381397","https://openalex.org/W2023034313","https://openalex.org/W2036042874","https://openalex.org/W2133943430","https://openalex.org/W4211131950"],"related_works":["https://openalex.org/W2888918612","https://openalex.org/W2166285859","https://openalex.org/W3148597776","https://openalex.org/W4362598163","https://openalex.org/W2060412688","https://openalex.org/W3011226720","https://openalex.org/W1982437410","https://openalex.org/W4287231885","https://openalex.org/W3156499996","https://openalex.org/W2014919645"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":1},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
