{"id":"https://openalex.org/W1978215749","doi":"https://doi.org/10.1016/0097-3165(88)90033-7","title":"On the diameter of cayley graphs of the symmetric group","display_name":"On the diameter of cayley graphs of the symmetric group","publication_year":1988,"publication_date":"1988-09-01","ids":{"openalex":"https://openalex.org/W1978215749","doi":"https://doi.org/10.1016/0097-3165(88)90033-7","mag":"1978215749"},"language":"en","primary_location":{"id":"doi:10.1016/0097-3165(88)90033-7","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0097-3165(88)90033-7","pdf_url":null,"source":{"id":"https://openalex.org/S128556326","display_name":"Journal of Combinatorial Theory Series A","issn_l":"0097-3165","issn":["0097-3165","1096-0899"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Combinatorial Theory, Series A","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/A5014978503","display_name":"L\u00e1szl\u00f3 Babai","orcid":"https://orcid.org/0000-0002-2058-685X"},"institutions":[{"id":"https://openalex.org/I106118109","display_name":"E\u00f6tv\u00f6s Lor\u00e1nd University","ror":"https://ror.org/01jsq2704","country_code":"HU","type":"education","lineage":["https://openalex.org/I106118109"]},{"id":"https://openalex.org/I40347166","display_name":"University of Chicago","ror":"https://ror.org/024mw5h28","country_code":"US","type":"education","lineage":["https://openalex.org/I40347166"]}],"countries":["HU","US"],"is_corresponding":true,"raw_author_name":"L\u00e1szl\u00f3 Babai","raw_affiliation_strings":["E\u00f6tv\u00f6s University, Budapest, Hungary 1088","University of Chicago, Chicago, Illinois 60637 USA"],"affiliations":[{"raw_affiliation_string":"E\u00f6tv\u00f6s University, Budapest, Hungary 1088","institution_ids":["https://openalex.org/I106118109"]},{"raw_affiliation_string":"University of Chicago, Chicago, Illinois 60637 USA","institution_ids":["https://openalex.org/I40347166"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5083769806","display_name":"\u00c1kos Seress","orcid":null},"institutions":[{"id":"https://openalex.org/I7597260","display_name":"Hungarian Academy of Sciences","ror":"https://ror.org/02ks8qq67","country_code":"HU","type":"government","lineage":["https://openalex.org/I7597260"]}],"countries":["HU"],"is_corresponding":false,"raw_author_name":"\u00c1kos Seress","raw_affiliation_strings":["Mathematical Institute of the Hungarian Academy of Sciences, Budapest, Hungary 1053"],"affiliations":[{"raw_affiliation_string":"Mathematical Institute of the Hungarian Academy of Sciences, Budapest, Hungary 1053","institution_ids":["https://openalex.org/I7597260"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5014978503"],"corresponding_institution_ids":["https://openalex.org/I106118109","https://openalex.org/I40347166"],"apc_list":{"value":3320,"currency":"USD","value_usd":3320},"apc_paid":null,"fwci":1.442,"has_fulltext":false,"cited_by_count":79,"citation_normalized_percentile":{"value":0.75220126,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":100},"biblio":{"volume":"49","issue":"1","first_page":"175","last_page":"179"},"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/T11797","display_name":"graph theory and CDMA systems","score":0.9940000176429749,"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/T10304","display_name":"Geometric and Algebraic Topology","score":0.9918000102043152,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/cayley-graph","display_name":"Cayley graph","score":0.8662991523742676},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.8182032108306885},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.8119555711746216},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7091042995452881},{"id":"https://openalex.org/keywords/symmetric-group","display_name":"Symmetric group","score":0.6310513615608215},{"id":"https://openalex.org/keywords/group","display_name":"Group (periodic table)","score":0.6206090450286865},{"id":"https://openalex.org/keywords/alternating-group","display_name":"Alternating group","score":0.5707281231880188},{"id":"https://openalex.org/keywords/cayleys-theorem","display_name":"Cayley's theorem","score":0.5693761706352234},{"id":"https://openalex.org/keywords/generating-set-of-a-group","display_name":"Generating set of a group","score":0.5598334670066833},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.5256710648536682},{"id":"https://openalex.org/keywords/finite-group","display_name":"Finite group","score":0.5064011812210083},{"id":"https://openalex.org/keywords/word","display_name":"Word (group theory)","score":0.4842471778392792},{"id":"https://openalex.org/keywords/simple-group","display_name":"Simple group","score":0.4804227352142334},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.4803082346916199},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4499281346797943},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.33991003036499023},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.17377004027366638},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.12234103679656982},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.12183406949043274},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.09294986724853516},{"id":"https://openalex.org/keywords/voltage-graph","display_name":"Voltage graph","score":0.04934138059616089}],"concepts":[{"id":"https://openalex.org/C120204988","wikidata":"https://www.wikidata.org/wiki/Q859174","display_name":"Cayley graph","level":3,"score":0.8662991523742676},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.8182032108306885},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8119555711746216},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7091042995452881},{"id":"https://openalex.org/C128622974","wikidata":"https://www.wikidata.org/wiki/Q849512","display_name":"Symmetric group","level":2,"score":0.6310513615608215},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.6206090450286865},{"id":"https://openalex.org/C38847919","wikidata":"https://www.wikidata.org/wiki/Q438814","display_name":"Alternating group","level":3,"score":0.5707281231880188},{"id":"https://openalex.org/C4093544","wikidata":"https://www.wikidata.org/wiki/Q179208","display_name":"Cayley's theorem","level":5,"score":0.5693761706352234},{"id":"https://openalex.org/C18116961","wikidata":"https://www.wikidata.org/wiki/Q734209","display_name":"Generating set of a group","level":2,"score":0.5598334670066833},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.5256710648536682},{"id":"https://openalex.org/C2777404646","wikidata":"https://www.wikidata.org/wiki/Q1057968","display_name":"Finite group","level":3,"score":0.5064011812210083},{"id":"https://openalex.org/C90805587","wikidata":"https://www.wikidata.org/wiki/Q10944557","display_name":"Word (group theory)","level":2,"score":0.4842471778392792},{"id":"https://openalex.org/C5383885","wikidata":"https://www.wikidata.org/wiki/Q571124","display_name":"Simple group","level":3,"score":0.4804227352142334},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.4803082346916199},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4499281346797943},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.33991003036499023},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.17377004027366638},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.12234103679656982},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.12183406949043274},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.09294986724853516},{"id":"https://openalex.org/C22149727","wikidata":"https://www.wikidata.org/wiki/Q7940747","display_name":"Voltage graph","level":4,"score":0.04934138059616089},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"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:10.1016/0097-3165(88)90033-7","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0097-3165(88)90033-7","pdf_url":null,"source":{"id":"https://openalex.org/S128556326","display_name":"Journal of Combinatorial Theory Series A","issn_l":"0097-3165","issn":["0097-3165","1096-0899"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Combinatorial Theory, Series A","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":18,"referenced_works":["https://openalex.org/W1531368347","https://openalex.org/W1976372266","https://openalex.org/W1980351200","https://openalex.org/W2032908207","https://openalex.org/W2033561378","https://openalex.org/W2036895204","https://openalex.org/W2044443711","https://openalex.org/W2076597612","https://openalex.org/W2076973717","https://openalex.org/W2087288544","https://openalex.org/W2117519244","https://openalex.org/W2153525410","https://openalex.org/W2913222977","https://openalex.org/W3175367423","https://openalex.org/W6645203164","https://openalex.org/W6659678902","https://openalex.org/W6661798942","https://openalex.org/W6669754204"],"related_works":["https://openalex.org/W3007853397","https://openalex.org/W2089432291","https://openalex.org/W4226275486","https://openalex.org/W1966260882","https://openalex.org/W1998393988","https://openalex.org/W2040250200","https://openalex.org/W3009026414","https://openalex.org/W3107537664","https://openalex.org/W2572112720","https://openalex.org/W1978215749"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":16},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":5},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":6}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}