{"id":"https://openalex.org/W2064091274","doi":"https://doi.org/10.1145/2554797.2554830","title":"On the automorphism groups of strongly regular graphs I","display_name":"On the automorphism groups of strongly regular graphs I","publication_year":2014,"publication_date":"2014-01-12","ids":{"openalex":"https://openalex.org/W2064091274","doi":"https://doi.org/10.1145/2554797.2554830","mag":"2064091274"},"language":"en","primary_location":{"id":"doi:10.1145/2554797.2554830","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2554797.2554830","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 5th conference on Innovations in theoretical computer science","raw_type":"proceedings-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/I40347166","display_name":"University of Chicago","ror":"https://ror.org/024mw5h28","country_code":"US","type":"education","lineage":["https://openalex.org/I40347166"]},{"id":"https://openalex.org/I39422238","display_name":"University of Illinois Chicago","ror":"https://ror.org/02mpq6x41","country_code":"US","type":"education","lineage":["https://openalex.org/I39422238"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"L\u00e1szl\u00f3 Babai","raw_affiliation_strings":["University of Chicago, Chicago, IL, USA","University of Chicago , Chicago, IL, USA"],"affiliations":[{"raw_affiliation_string":"University of Chicago, Chicago, IL, USA","institution_ids":["https://openalex.org/I40347166","https://openalex.org/I39422238"]},{"raw_affiliation_string":"University of Chicago , Chicago, IL, USA","institution_ids":["https://openalex.org/I40347166"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5014978503"],"corresponding_institution_ids":["https://openalex.org/I40347166","https://openalex.org/I39422238"],"apc_list":null,"apc_paid":null,"fwci":2.12093395,"has_fulltext":false,"cited_by_count":16,"citation_normalized_percentile":{"value":0.8652186,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"359","last_page":"368"},"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":0.9936000108718872,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9864000082015991,"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/isomorphism","display_name":"Isomorphism (crystallography)","score":0.8129363059997559},{"id":"https://openalex.org/keywords/automorphism","display_name":"Automorphism","score":0.7454644441604614},{"id":"https://openalex.org/keywords/graph-automorphism","display_name":"Graph automorphism","score":0.6831014156341553},{"id":"https://openalex.org/keywords/graph-isomorphism","display_name":"Graph isomorphism","score":0.602496325969696},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5729276537895203},{"id":"https://openalex.org/keywords/automorphism-group","display_name":"Automorphism group","score":0.5355315804481506},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5038768649101257},{"id":"https://openalex.org/keywords/raising","display_name":"Raising (metalworking)","score":0.5001089572906494},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.37954163551330566},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.1817978322505951},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.15012234449386597},{"id":"https://openalex.org/keywords/crystal-structure","display_name":"Crystal structure","score":0.07677942514419556},{"id":"https://openalex.org/keywords/crystallography","display_name":"Crystallography","score":0.07278969883918762},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.05753284692764282},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.05379456281661987}],"concepts":[{"id":"https://openalex.org/C203436722","wikidata":"https://www.wikidata.org/wiki/Q902950","display_name":"Isomorphism (crystallography)","level":3,"score":0.8129363059997559},{"id":"https://openalex.org/C118712358","wikidata":"https://www.wikidata.org/wiki/Q782566","display_name":"Automorphism","level":2,"score":0.7454644441604614},{"id":"https://openalex.org/C6049932","wikidata":"https://www.wikidata.org/wiki/Q834981","display_name":"Graph automorphism","level":5,"score":0.6831014156341553},{"id":"https://openalex.org/C61665672","wikidata":"https://www.wikidata.org/wiki/Q303100","display_name":"Graph isomorphism","level":4,"score":0.602496325969696},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5729276537895203},{"id":"https://openalex.org/C2988750069","wikidata":"https://www.wikidata.org/wiki/Q60790315","display_name":"Automorphism group","level":3,"score":0.5355315804481506},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5038768649101257},{"id":"https://openalex.org/C2780589192","wikidata":"https://www.wikidata.org/wiki/Q7285140","display_name":"Raising (metalworking)","level":2,"score":0.5001089572906494},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.37954163551330566},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.1817978322505951},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.15012234449386597},{"id":"https://openalex.org/C115624301","wikidata":"https://www.wikidata.org/wiki/Q895901","display_name":"Crystal structure","level":2,"score":0.07677942514419556},{"id":"https://openalex.org/C8010536","wikidata":"https://www.wikidata.org/wiki/Q160398","display_name":"Crystallography","level":1,"score":0.07278969883918762},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.05753284692764282},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.05379456281661987},{"id":"https://openalex.org/C22149727","wikidata":"https://www.wikidata.org/wiki/Q7940747","display_name":"Voltage graph","level":4,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/2554797.2554830","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2554797.2554830","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 5th conference on Innovations in theoretical computer science","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320311061","display_name":"Queen Mary University of London","ror":"https://ror.org/026zzn846"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":59,"referenced_works":["https://openalex.org/W12766527","https://openalex.org/W100134370","https://openalex.org/W168459216","https://openalex.org/W240203132","https://openalex.org/W417925666","https://openalex.org/W618980177","https://openalex.org/W1543193062","https://openalex.org/W1626070285","https://openalex.org/W1821649227","https://openalex.org/W1963934374","https://openalex.org/W1966550638","https://openalex.org/W1970795186","https://openalex.org/W1972094496","https://openalex.org/W1973322735","https://openalex.org/W1974672137","https://openalex.org/W1978215749","https://openalex.org/W1983908928","https://openalex.org/W1984976620","https://openalex.org/W1989114462","https://openalex.org/W1989188127","https://openalex.org/W1993694495","https://openalex.org/W1994556169","https://openalex.org/W1998400388","https://openalex.org/W2011112377","https://openalex.org/W2013370453","https://openalex.org/W2017024025","https://openalex.org/W2033561378","https://openalex.org/W2035098448","https://openalex.org/W2040864433","https://openalex.org/W2044443711","https://openalex.org/W2051748083","https://openalex.org/W2054532902","https://openalex.org/W2054982111","https://openalex.org/W2061939425","https://openalex.org/W2066695739","https://openalex.org/W2077202644","https://openalex.org/W2081256177","https://openalex.org/W2081812591","https://openalex.org/W2090590511","https://openalex.org/W2091293447","https://openalex.org/W2091388733","https://openalex.org/W2096390054","https://openalex.org/W2098626016","https://openalex.org/W2101451020","https://openalex.org/W2108471507","https://openalex.org/W2111457879","https://openalex.org/W2120980679","https://openalex.org/W2138033161","https://openalex.org/W2142094186","https://openalex.org/W2148957455","https://openalex.org/W2149149668","https://openalex.org/W2162763810","https://openalex.org/W2164314258","https://openalex.org/W2318370516","https://openalex.org/W2494517118","https://openalex.org/W4247914561","https://openalex.org/W4248209491","https://openalex.org/W4285719527","https://openalex.org/W4298236575"],"related_works":["https://openalex.org/W1711180383","https://openalex.org/W1997883919","https://openalex.org/W1258892498","https://openalex.org/W2905073546","https://openalex.org/W2187958446","https://openalex.org/W1982404768","https://openalex.org/W4244562710","https://openalex.org/W2041670454","https://openalex.org/W2153879854","https://openalex.org/W1770199419"],"abstract_inverted_index":{"We":[0],"derive":[1],"structural":[2],"constraints":[3],"on":[4],"the":[5],"automorphism":[6],"groups":[7],"of":[8,28],"strongly":[9],"regular":[10],"(s.r.)":[11],"graphs,":[12,30],"giving":[13],"a":[14,19],"surprisingly":[15],"strong":[16],"answer":[17],"to":[18,25],"decades-old":[20],"problem,":[21],"with":[22],"tantalizing":[23],"implications":[24],"testing":[26],"isomorphism":[27],"s.r.":[29],"and":[31],"raising":[32],"new":[33],"combinatorial":[34],"challenges.":[35]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":4},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":2},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}