{"id":"https://openalex.org/W1480224489","doi":"https://doi.org/10.37236/685","title":"Automorphism Group of the Derangement Graph","display_name":"Automorphism Group of the Derangement Graph","publication_year":2011,"publication_date":"2011-10-03","ids":{"openalex":"https://openalex.org/W1480224489","doi":"https://doi.org/10.37236/685","mag":"1480224489"},"language":"en","primary_location":{"id":"doi:10.37236/685","is_oa":true,"landing_page_url":"https://doi.org/10.37236/685","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v18i1p198/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v18i1p198/pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100511201","display_name":"Yun-Ping Deng","orcid":null},"institutions":[{"id":"https://openalex.org/I183067930","display_name":"Shanghai Jiao Tong University","ror":"https://ror.org/0220qvk04","country_code":"CN","type":"education","lineage":["https://openalex.org/I183067930"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yun-Ping Deng","raw_affiliation_strings":["Department of Mathematics Shanghai Jiao Tong University Shanghai 200240, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics Shanghai Jiao Tong University Shanghai 200240, P. R. China","institution_ids":["https://openalex.org/I183067930"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100376227","display_name":"Xiao\u2010Dong Zhang","orcid":"https://orcid.org/0000-0003-0783-051X"},"institutions":[{"id":"https://openalex.org/I183067930","display_name":"Shanghai Jiao Tong University","ror":"https://ror.org/0220qvk04","country_code":"CN","type":"education","lineage":["https://openalex.org/I183067930"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiao-Dong Zhang","raw_affiliation_strings":["Department of Mathematics Shanghai Jiao Tong University Shanghai 200240, P. R. China","Shanghai Jiao Tong Univ"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics Shanghai Jiao Tong University Shanghai 200240, P. R. China","institution_ids":["https://openalex.org/I183067930"]},{"raw_affiliation_string":"Shanghai Jiao Tong Univ","institution_ids":["https://openalex.org/I183067930"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.4479,"has_fulltext":true,"cited_by_count":11,"citation_normalized_percentile":{"value":0.53117207,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"18","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10849","display_name":"Finite Group Theory Research","score":0.9994999766349792,"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"}},"topics":[{"id":"https://openalex.org/T10849","display_name":"Finite Group Theory Research","score":0.9994999766349792,"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"}},{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9929999709129333,"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/T11797","display_name":"graph theory and CDMA systems","score":0.9873999953269958,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.856568455696106},{"id":"https://openalex.org/keywords/automorphism","display_name":"Automorphism","score":0.8091462850570679},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.8023245334625244},{"id":"https://openalex.org/keywords/automorphism-group","display_name":"Automorphism group","score":0.7521439790725708},{"id":"https://openalex.org/keywords/sigma","display_name":"Sigma","score":0.6477416157722473},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.646432101726532},{"id":"https://openalex.org/keywords/derangement","display_name":"Derangement","score":0.562931478023529},{"id":"https://openalex.org/keywords/group","display_name":"Group (periodic table)","score":0.4353334307670593},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.12786057591438293},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.04980692267417908}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.856568455696106},{"id":"https://openalex.org/C118712358","wikidata":"https://www.wikidata.org/wiki/Q782566","display_name":"Automorphism","level":2,"score":0.8091462850570679},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8023245334625244},{"id":"https://openalex.org/C2988750069","wikidata":"https://www.wikidata.org/wiki/Q60790315","display_name":"Automorphism group","level":3,"score":0.7521439790725708},{"id":"https://openalex.org/C2778049214","wikidata":"https://www.wikidata.org/wiki/Q7512234","display_name":"Sigma","level":2,"score":0.6477416157722473},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.646432101726532},{"id":"https://openalex.org/C38298161","wikidata":"https://www.wikidata.org/wiki/Q1207920","display_name":"Derangement","level":2,"score":0.562931478023529},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.4353334307670593},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.12786057591438293},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.04980692267417908}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.37236/685","is_oa":true,"landing_page_url":"https://doi.org/10.37236/685","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v18i1p198/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.372.7779","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.372.7779","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.combinatorics.org/ojs/index.php/eljc/article/viewFile/v18i1p198/pdf/","raw_type":"text"}],"best_oa_location":{"id":"doi:10.37236/685","is_oa":true,"landing_page_url":"https://doi.org/10.37236/685","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v18i1p198/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4435259379","display_name":null,"funder_award_id":"09XD1402500","funder_id":"https://openalex.org/F4320321885","funder_display_name":"Science and Technology Commission of Shanghai Municipality"},{"id":"https://openalex.org/G580985360","display_name":null,"funder_award_id":"10971137","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320321885","display_name":"Science and Technology Commission of Shanghai Municipality","ror":"https://ror.org/03kt66j61"},{"id":"https://openalex.org/F4320335777","display_name":"National Key Research and Development Program of China","ror":null}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1480224489.pdf","grobid_xml":"https://content.openalex.org/works/W1480224489.grobid-xml"},"referenced_works_count":22,"referenced_works":["https://openalex.org/W1967207190","https://openalex.org/W1992184374","https://openalex.org/W1995234636","https://openalex.org/W1999387439","https://openalex.org/W2002528985","https://openalex.org/W2004482555","https://openalex.org/W2013639817","https://openalex.org/W2020562139","https://openalex.org/W2023601405","https://openalex.org/W2041807026","https://openalex.org/W2067431917","https://openalex.org/W2068854759","https://openalex.org/W2084490360","https://openalex.org/W2093718341","https://openalex.org/W2117862969","https://openalex.org/W2167698871","https://openalex.org/W2168751269","https://openalex.org/W2262739895","https://openalex.org/W2274512402","https://openalex.org/W2502697445","https://openalex.org/W6601636429","https://openalex.org/W6821556336"],"related_works":["https://openalex.org/W2963257052","https://openalex.org/W4302155387","https://openalex.org/W2949256963","https://openalex.org/W2545189445","https://openalex.org/W2115024785","https://openalex.org/W2949890955","https://openalex.org/W2085781584","https://openalex.org/W4289596368","https://openalex.org/W1543499813","https://openalex.org/W1678473343"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3],"prove":[4],"that":[5],"the":[6,11,28,33,43,52],"full":[7],"automorphism":[8,35],"group":[9,36],"of":[10,37,55],"derangement":[12],"graph":[13],"$\\Gamma_n$":[14,56],"($n\\geq3$)":[15,57],"is":[16],"equal":[17],"to":[18],"$(R(S_n)\\rtimes\\hbox{Inn}":[19],"(S_n))\\rtimes":[20],"Z_2$,":[21],"where":[22],"$R(S_n)$":[23],"and":[24,32,40],"$\\hbox{Inn}":[25],"(S_n)$":[26],"are":[27,58],"right":[29],"regular":[30],"representation":[31],"inner":[34],"$S_n$":[38],"respectively,":[39],"$Z_2=\\langle\\varphi\\rangle$":[41],"with":[42],"mapping":[44],"$\\varphi:$":[45],"$\\sigma^{\\varphi}=\\sigma^{-1},\\,\\forall\\,\\sigma\\in":[46],"S_n.$":[47],"Moreover,":[48],"all":[49],"orbits":[50],"on":[51],"edge":[53],"set":[54],"determined.":[59]},"counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
