{"id":"https://openalex.org/W3200353584","doi":"https://doi.org/10.1142/s1793830922500616","title":"Embedding and the rotational dimension of a graph containing a clique","display_name":"Embedding and the rotational dimension of a graph containing a clique","publication_year":2022,"publication_date":"2022-02-25","ids":{"openalex":"https://openalex.org/W3200353584","doi":"https://doi.org/10.1142/s1793830922500616","mag":"3200353584"},"language":"en","primary_location":{"id":"doi:10.1142/s1793830922500616","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830922500616","pdf_url":null,"source":{"id":"https://openalex.org/S178434951","display_name":"Discrete Mathematics Algorithms and Applications","issn_l":"1793-8309","issn":["1793-8309","1793-8317"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics, Algorithms and Applications","raw_type":"journal-article"},"type":"article","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/A5009377424","display_name":"Takumi Gomyou","orcid":"https://orcid.org/0000-0001-8314-2722"},"institutions":[{"id":"https://openalex.org/I60134161","display_name":"Nagoya University","ror":"https://ror.org/04chrp450","country_code":"JP","type":"education","lineage":["https://openalex.org/I60134161"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Takumi Gomyou","raw_affiliation_strings":["Graduate School of Mathematics, Nagoya University, Chikusa-ku, Nagoya 464-8602, Japan"],"raw_orcid":"https://orcid.org/0000-0001-8314-2722","affiliations":[{"raw_affiliation_string":"Graduate School of Mathematics, Nagoya University, Chikusa-ku, Nagoya 464-8602, Japan","institution_ids":["https://openalex.org/I60134161"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5009377424"],"corresponding_institution_ids":["https://openalex.org/I60134161"],"apc_list":null,"apc_paid":null,"fwci":0.4019,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.52744395,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"15","issue":"01","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11476","display_name":"Graph theory and applications","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11476","display_name":"Graph theory and applications","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9979000091552734,"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/T10849","display_name":"Finite Group Theory Research","score":0.996999979019165,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6900361180305481},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6496684551239014},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.5325642824172974},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4794798791408539},{"id":"https://openalex.org/keywords/chordal-graph","display_name":"Chordal graph","score":0.47823208570480347},{"id":"https://openalex.org/keywords/clique-graph","display_name":"Clique graph","score":0.42998793721199036},{"id":"https://openalex.org/keywords/regular-graph","display_name":"Regular graph","score":0.4203667640686035},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.36680060625076294},{"id":"https://openalex.org/keywords/graph-power","display_name":"Graph power","score":0.36267799139022827}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6900361180305481},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6496684551239014},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.5325642824172974},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4794798791408539},{"id":"https://openalex.org/C160446614","wikidata":"https://www.wikidata.org/wiki/Q1322892","display_name":"Chordal graph","level":3,"score":0.47823208570480347},{"id":"https://openalex.org/C189239283","wikidata":"https://www.wikidata.org/wiki/Q17101022","display_name":"Clique graph","level":5,"score":0.42998793721199036},{"id":"https://openalex.org/C123482549","wikidata":"https://www.wikidata.org/wiki/Q826467","display_name":"Regular graph","level":5,"score":0.4203667640686035},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.36680060625076294},{"id":"https://openalex.org/C149530733","wikidata":"https://www.wikidata.org/wiki/Q5597091","display_name":"Graph power","level":4,"score":0.36267799139022827}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s1793830922500616","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830922500616","pdf_url":null,"source":{"id":"https://openalex.org/S178434951","display_name":"Discrete Mathematics Algorithms and Applications","issn_l":"1793-8309","issn":["1793-8309","1793-8317"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics, Algorithms and Applications","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W1512522810","https://openalex.org/W2087083200","https://openalex.org/W2117344743","https://openalex.org/W2120899029","https://openalex.org/W2161247714","https://openalex.org/W2168986492","https://openalex.org/W2296319761","https://openalex.org/W4250589301"],"related_works":["https://openalex.org/W2370290577","https://openalex.org/W2186006531","https://openalex.org/W2890133864","https://openalex.org/W1977623074","https://openalex.org/W2079220110","https://openalex.org/W2604724570","https://openalex.org/W2020792090","https://openalex.org/W2051302547","https://openalex.org/W3145440674","https://openalex.org/W2332903352"],"abstract_inverted_index":{"The":[0,52],"rotational":[1,43,59,76],"dimension":[2,11,77],"is":[3,31,55],"a":[4,13,17,66],"minor-monotone":[5],"graph":[6,28,54,68],"invariant":[7],"related":[8],"to":[9,21],"the":[10,22,27,75],"of":[12,26,45],"Euclidean":[14],"space":[15],"containing":[16],"spectral":[18],"embedding":[19],"corresponding":[20],"first":[23],"nonzero":[24],"eigenvalue":[25],"Laplacian,":[29],"which":[30,47],"introduced":[32],"by":[33,57],"G\u00f6ring,":[34],"Helmberg":[35],"and":[36],"Wappler.":[37],"In":[38],"this":[39],"paper,":[40],"we":[41],"study":[42],"dimensions":[44],"graphs":[46],"contain":[48],"large":[49,72],"complete":[50,53],"graphs.":[51],"characterized":[56],"its":[58],"dimension.":[60],"It":[61],"will":[62],"be":[63,70],"obtained":[64],"that":[65],"chordal":[67],"may":[69],"made":[71],"while":[73],"keeping":[74],"constant.":[78]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}