{"id":"https://openalex.org/W2003518840","doi":"https://doi.org/10.1137/090765596","title":"The Automorphism Group of a Johnson Graph","display_name":"The Automorphism Group of a Johnson Graph","publication_year":2011,"publication_date":"2011-01-01","ids":{"openalex":"https://openalex.org/W2003518840","doi":"https://doi.org/10.1137/090765596","mag":"2003518840"},"language":"en","primary_location":{"id":"doi:10.1137/090765596","is_oa":false,"landing_page_url":"https://doi.org/10.1137/090765596","pdf_url":null,"source":{"id":"https://openalex.org/S117679221","display_name":"SIAM Journal on Discrete Mathematics","issn_l":"0895-4801","issn":["0895-4801","1095-7146"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Discrete Mathematics","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/A5069330395","display_name":"Mark Ramras","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Mark Ramras","raw_affiliation_strings":["[email\u00a0protected]#TAB#"],"affiliations":[{"raw_affiliation_string":"[email\u00a0protected]#TAB#","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5044488073","display_name":"Elizabeth A. Donovan","orcid":"https://orcid.org/0000-0001-8394-9489"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Elizabeth Donovan","raw_affiliation_strings":["beth2528@gmail.com#TAB#"],"affiliations":[{"raw_affiliation_string":"beth2528@gmail.com#TAB#","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5069330395"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.4479,"has_fulltext":false,"cited_by_count":28,"citation_normalized_percentile":{"value":0.56078554,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"25","issue":"1","first_page":"267","last_page":"270"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10849","display_name":"Finite Group Theory Research","score":0.9998000264167786,"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":0.9998000264167786,"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":0.996999979019165,"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":0.9962999820709229,"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":0.8567999005317688},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.77928626537323},{"id":"https://openalex.org/keywords/automorphism-group","display_name":"Automorphism group","score":0.777367353439331},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.5980823040008545},{"id":"https://openalex.org/keywords/automorphism","display_name":"Automorphism","score":0.5857003927230835},{"id":"https://openalex.org/keywords/graph-automorphism","display_name":"Graph automorphism","score":0.5534161925315857},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5391831994056702},{"id":"https://openalex.org/keywords/outer-automorphism-group","display_name":"Outer automorphism group","score":0.5176801681518555},{"id":"https://openalex.org/keywords/clique","display_name":"Clique","score":0.4502045214176178},{"id":"https://openalex.org/keywords/graph-theory","display_name":"Graph theory","score":0.44898420572280884},{"id":"https://openalex.org/keywords/group","display_name":"Group (periodic table)","score":0.44558185338974},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.43924131989479065},{"id":"https://openalex.org/keywords/voltage-graph","display_name":"Voltage graph","score":0.19699224829673767},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.16371354460716248}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8567999005317688},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.77928626537323},{"id":"https://openalex.org/C2988750069","wikidata":"https://www.wikidata.org/wiki/Q60790315","display_name":"Automorphism group","level":3,"score":0.777367353439331},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.5980823040008545},{"id":"https://openalex.org/C118712358","wikidata":"https://www.wikidata.org/wiki/Q782566","display_name":"Automorphism","level":2,"score":0.5857003927230835},{"id":"https://openalex.org/C6049932","wikidata":"https://www.wikidata.org/wiki/Q834981","display_name":"Graph automorphism","level":5,"score":0.5534161925315857},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5391831994056702},{"id":"https://openalex.org/C7619685","wikidata":"https://www.wikidata.org/wiki/Q3630548","display_name":"Outer automorphism group","level":4,"score":0.5176801681518555},{"id":"https://openalex.org/C2777035058","wikidata":"https://www.wikidata.org/wiki/Q1662634","display_name":"Clique","level":2,"score":0.4502045214176178},{"id":"https://openalex.org/C88230418","wikidata":"https://www.wikidata.org/wiki/Q131476","display_name":"Graph theory","level":2,"score":0.44898420572280884},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.44558185338974},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.43924131989479065},{"id":"https://openalex.org/C22149727","wikidata":"https://www.wikidata.org/wiki/Q7940747","display_name":"Voltage graph","level":4,"score":0.19699224829673767},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.16371354460716248},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/090765596","is_oa":false,"landing_page_url":"https://doi.org/10.1137/090765596","pdf_url":null,"source":{"id":"https://openalex.org/S117679221","display_name":"SIAM Journal on Discrete Mathematics","issn_l":"0895-4801","issn":["0895-4801","1095-7146"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Discrete Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":7,"referenced_works":["https://openalex.org/W97263645","https://openalex.org/W1979668650","https://openalex.org/W1990775940","https://openalex.org/W1990964037","https://openalex.org/W1998655607","https://openalex.org/W2018562010","https://openalex.org/W2030424565"],"related_works":["https://openalex.org/W3047157451","https://openalex.org/W4290190164","https://openalex.org/W2090179922","https://openalex.org/W4300933166","https://openalex.org/W3158565317","https://openalex.org/W2032894414","https://openalex.org/W2051407672","https://openalex.org/W2616348469","https://openalex.org/W1991616666","https://openalex.org/W2003518840"],"abstract_inverted_index":{"Using":[0],"an":[1],"analysis":[2],"of":[3,19,32,34],"the":[4,9,16,20,57],"clique":[5],"structure":[6],"and":[7],"only":[8],"most":[10],"elementary":[11],"group":[12,18],"theory,":[13],"we":[14],"determine":[15],"automorphism":[17],"Johnson":[21],"graph":[22],"$J(n,i)$,":[23],"for":[24,56],"$n\\neq2i$.":[25],"Although":[26],"this":[27],"is":[28],"a":[29,54],"special":[30],"case":[31,58],"results":[33],"Jones":[35],"[European":[36],"J.":[37],"Combin.,":[38],"26":[39],"(2005),":[40],"pp.":[41],"417\u2013435],":[42],"unlike":[43],"his":[44],"proof,":[45],"ours":[46],"uses":[47],"no":[48],"heavy":[49],"group-theoretic":[50],"machinery.":[51],"We":[52],"make":[53],"conjecture":[55],"$n=2i$.":[59]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":4},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2013,"cited_by_count":1}],"updated_date":"2026-04-22T08:38:42.863108","created_date":"2025-10-10T00:00:00"}