{"id":"https://openalex.org/W2146429887","doi":"https://doi.org/10.1142/s1793830913500389","title":"UNIVERSAL GRAPHS AND UNIVERSAL PERMUTATIONS","display_name":"UNIVERSAL GRAPHS AND UNIVERSAL PERMUTATIONS","publication_year":2013,"publication_date":"2013-09-04","ids":{"openalex":"https://openalex.org/W2146429887","doi":"https://doi.org/10.1142/s1793830913500389","mag":"2146429887"},"language":"en","primary_location":{"id":"doi:10.1142/s1793830913500389","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830913500389","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/A5062255888","display_name":"Aistis Atminas","orcid":"https://orcid.org/0000-0001-5026-3210"},"institutions":[{"id":"https://openalex.org/I39555362","display_name":"University of Warwick","ror":"https://ror.org/01a77tt86","country_code":"GB","type":"education","lineage":["https://openalex.org/I39555362"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"AISTIS ATMINAS","raw_affiliation_strings":["DIMAP and Mathematic Institute, University of Warwick, Coventry CV4 7AL, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"DIMAP and Mathematic Institute, University of Warwick, Coventry CV4 7AL, UK","institution_ids":["https://openalex.org/I39555362"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5081581015","display_name":"Vadim Lozin","orcid":"https://orcid.org/0000-0003-2464-7389"},"institutions":[{"id":"https://openalex.org/I39555362","display_name":"University of Warwick","ror":"https://ror.org/01a77tt86","country_code":"GB","type":"education","lineage":["https://openalex.org/I39555362"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"VADIM V. LOZIN","raw_affiliation_strings":["DIMAP and Mathematic Institute, University of Warwick, Coventry CV4 7AL, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"DIMAP and Mathematic Institute, University of Warwick, Coventry CV4 7AL, UK","institution_ids":["https://openalex.org/I39555362"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5024451009","display_name":"Sergey Kitaev","orcid":"https://orcid.org/0000-0003-3324-1647"},"institutions":[{"id":"https://openalex.org/I181647926","display_name":"University of Strathclyde","ror":"https://ror.org/00n3w3b69","country_code":"GB","type":"education","lineage":["https://openalex.org/I181647926"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"SERGEY KITAEV","raw_affiliation_strings":["Department of Computer and Information Sciences, University of Strathclyde, Glasgow G1 1XH, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer and Information Sciences, University of Strathclyde, Glasgow G1 1XH, UK","institution_ids":["https://openalex.org/I181647926"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5051912952","display_name":"Alexandr Valyuzhenich","orcid":"https://orcid.org/0000-0002-0582-6595"},"institutions":[{"id":"https://openalex.org/I188973947","display_name":"Novosibirsk State University","ror":"https://ror.org/04t2ss102","country_code":"RU","type":"education","lineage":["https://openalex.org/I188973947"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"ALEXANDR VALYUZHENICH","raw_affiliation_strings":["Novosibirsk State University, 2 Pirogova Street, 630090, Novosibirsk, Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Novosibirsk State University, 2 Pirogova Street, 630090, Novosibirsk, Russia","institution_ids":["https://openalex.org/I188973947"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5062255888"],"corresponding_institution_ids":["https://openalex.org/I39555362"],"apc_list":null,"apc_paid":null,"fwci":0.4799,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.71608047,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"05","issue":"04","first_page":"1350038","last_page":"1350038"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.9986000061035156,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9958000183105469,"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/combinatorics","display_name":"Combinatorics","score":0.8280531167984009},{"id":"https://openalex.org/keywords/bijection","display_name":"Bijection","score":0.6998419165611267},{"id":"https://openalex.org/keywords/permutation-graph","display_name":"Permutation graph","score":0.6863782405853271},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6363542079925537},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5068569779396057},{"id":"https://openalex.org/keywords/cyclic-permutation","display_name":"Cyclic permutation","score":0.49404361844062805},{"id":"https://openalex.org/keywords/permutation","display_name":"Permutation (music)","score":0.44811445474624634},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.4283643960952759},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.40192827582359314},{"id":"https://openalex.org/keywords/symmetric-group","display_name":"Symmetric group","score":0.26958972215652466},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07019400596618652}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8280531167984009},{"id":"https://openalex.org/C24424167","wikidata":"https://www.wikidata.org/wiki/Q180907","display_name":"Bijection","level":2,"score":0.6998419165611267},{"id":"https://openalex.org/C68965932","wikidata":"https://www.wikidata.org/wiki/Q7169369","display_name":"Permutation graph","level":3,"score":0.6863782405853271},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6363542079925537},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5068569779396057},{"id":"https://openalex.org/C77670614","wikidata":"https://www.wikidata.org/wiki/Q212130","display_name":"Cyclic permutation","level":3,"score":0.49404361844062805},{"id":"https://openalex.org/C21308566","wikidata":"https://www.wikidata.org/wiki/Q7169365","display_name":"Permutation (music)","level":2,"score":0.44811445474624634},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.4283643960952759},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.40192827582359314},{"id":"https://openalex.org/C128622974","wikidata":"https://www.wikidata.org/wiki/Q849512","display_name":"Symmetric group","level":2,"score":0.26958972215652466},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07019400596618652},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s1793830913500389","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830913500389","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":[{"id":"https://openalex.org/G7547548424","display_name":null,"funder_award_id":"EP/I01795X/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W166539567","https://openalex.org/W1566296722","https://openalex.org/W1605337124","https://openalex.org/W1978110003","https://openalex.org/W1983773246","https://openalex.org/W2054926432","https://openalex.org/W2058643203","https://openalex.org/W2060963839","https://openalex.org/W2063441479","https://openalex.org/W2094722858","https://openalex.org/W2119837203","https://openalex.org/W2166695258","https://openalex.org/W2314893179"],"related_works":["https://openalex.org/W2385551783","https://openalex.org/W2964309395","https://openalex.org/W2356795487","https://openalex.org/W2952662568","https://openalex.org/W2141765721","https://openalex.org/W2391050754","https://openalex.org/W3133549692","https://openalex.org/W2349665798","https://openalex.org/W2078652738","https://openalex.org/W2951538996"],"abstract_inverted_index":{"Let":[0],"X":[1,8,25,46],"be":[2],"a":[3,42,58,74,80],"family":[4],"of":[5,12,65],"graphs":[6,14,23],"and":[7,79,85],"n":[9,26],"the":[10,53,63],"set":[11],"n-vertex":[13],"in":[15,96],"X.":[16,34,51],"A":[17],"graph":[18,44,61,94],"U":[19,39],"(n)":[20,40],"containing":[21],"all":[22],"from":[24],"as":[27],"induced":[28],"subgraphs":[29],"is":[30,41,108],"called":[31],"n-universal":[32,60,91],"for":[33,45,62],"Moreover,":[35],"we":[36,56],"say":[37],"that":[38,105],"propern-universal":[43],"if":[47],"it":[48],"belongs":[49],"to":[50],"In":[52],"present":[54],"paper,":[55],"construct":[57],"proper":[59,75],"class":[64],"split":[66,87,92],"permutation":[67,78,88,93],"graphs.":[68,89],"Our":[69],"solution":[70],"includes":[71],"two":[72],"ingredients:":[73],"universal":[76],"321-avoiding":[77,83],"bijection":[81],"between":[82],"permutations":[84],"symmetric":[86],"The":[90],"constructed":[95],"this":[97,106],"paper":[98],"has":[99],"4n":[100],"3":[101],"vertices,":[102],"which":[103],"means":[104],"construction":[107],"order-optimal.":[109]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
