{"id":"https://openalex.org/W2096704006","doi":"https://doi.org/10.1155/2014/934637","title":"Novel Techniques to Speed Up the Computation of the Automorphism Group of a Graph","display_name":"Novel Techniques to Speed Up the Computation of the Automorphism Group of a Graph","publication_year":2014,"publication_date":"2014-01-01","ids":{"openalex":"https://openalex.org/W2096704006","doi":"https://doi.org/10.1155/2014/934637","mag":"2096704006"},"language":"en","primary_location":{"id":"doi:10.1155/2014/934637","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2014/934637","pdf_url":"https://downloads.hindawi.com/journals/jam/2014/934637.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/jam/2014/934637.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5041611565","display_name":"Jos\u00e9 Luis L\u00f3pez-Presa","orcid":"https://orcid.org/0000-0003-3050-1212"},"institutions":[{"id":"https://openalex.org/I4210105761","display_name":"Diater (Spain)","ror":"https://ror.org/01pj15135","country_code":"ES","type":"company","lineage":["https://openalex.org/I4210105761"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"Jos\u00e9 Luis L\u00f3pez-Presa","raw_affiliation_strings":["DIATEL-UPM, 28031 Madrid, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"DIATEL-UPM, 28031 Madrid, Spain","institution_ids":["https://openalex.org/I4210105761"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5048243758","display_name":"Luis F. Chiroque","orcid":null},"institutions":[{"id":"https://openalex.org/I2802499160","display_name":"IMDEA Networks","ror":"https://ror.org/04mm9fg30","country_code":"ES","type":"facility","lineage":["https://openalex.org/I105140100","https://openalex.org/I2802499160"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Luis F. Chiroque","raw_affiliation_strings":["IMDEA Networks Institute, 28918 Madrid, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"IMDEA Networks Institute, 28918 Madrid, Spain","institution_ids":["https://openalex.org/I2802499160"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5014057564","display_name":"Antonio Fern\u00e1ndez Anta","orcid":"https://orcid.org/0000-0001-6501-2377"},"institutions":[{"id":"https://openalex.org/I2802499160","display_name":"IMDEA Networks","ror":"https://ror.org/04mm9fg30","country_code":"ES","type":"facility","lineage":["https://openalex.org/I105140100","https://openalex.org/I2802499160"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Antonio Fern\u00e1ndez Anta","raw_affiliation_strings":["IMDEA Networks Institute, 28918 Madrid, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"IMDEA Networks Institute, 28918 Madrid, Spain","institution_ids":["https://openalex.org/I2802499160"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5041611565"],"corresponding_institution_ids":["https://openalex.org/I4210105761"],"apc_list":{"value":1025,"currency":"USD","value_usd":1025},"apc_paid":{"value":1025,"currency":"USD","value_usd":1025},"fwci":0.0,"has_fulltext":true,"cited_by_count":12,"citation_normalized_percentile":{"value":0.15415366,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"2014","issue":null,"first_page":"1","last_page":"15"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12292","display_name":"Graph Theory and Algorithms","score":0.9980999827384949,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12292","display_name":"Graph Theory and Algorithms","score":0.9980999827384949,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/T12029","display_name":"DNA and Biological Computing","score":0.9900000095367432,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T10829","display_name":"Interconnection Networks and Systems","score":0.9858999848365784,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/automorphism-group","display_name":"Automorphism group","score":0.581658661365509},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.560279905796051},{"id":"https://openalex.org/keywords/graph-automorphism","display_name":"Graph automorphism","score":0.5594430565834045},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5273526310920715},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5177868604660034},{"id":"https://openalex.org/keywords/search-tree","display_name":"Search tree","score":0.5008611679077148},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4541976749897003},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.4290139675140381},{"id":"https://openalex.org/keywords/automorphism","display_name":"Automorphism","score":0.4241117238998413},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.4201241731643677},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.31486737728118896},{"id":"https://openalex.org/keywords/search-algorithm","display_name":"Search algorithm","score":0.30961742997169495},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.24046528339385986},{"id":"https://openalex.org/keywords/voltage-graph","display_name":"Voltage graph","score":0.201069176197052}],"concepts":[{"id":"https://openalex.org/C2988750069","wikidata":"https://www.wikidata.org/wiki/Q60790315","display_name":"Automorphism group","level":3,"score":0.581658661365509},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.560279905796051},{"id":"https://openalex.org/C6049932","wikidata":"https://www.wikidata.org/wiki/Q834981","display_name":"Graph automorphism","level":5,"score":0.5594430565834045},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5273526310920715},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5177868604660034},{"id":"https://openalex.org/C207024777","wikidata":"https://www.wikidata.org/wiki/Q621673","display_name":"Search tree","level":3,"score":0.5008611679077148},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4541976749897003},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.4290139675140381},{"id":"https://openalex.org/C118712358","wikidata":"https://www.wikidata.org/wiki/Q782566","display_name":"Automorphism","level":2,"score":0.4241117238998413},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.4201241731643677},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.31486737728118896},{"id":"https://openalex.org/C125583679","wikidata":"https://www.wikidata.org/wiki/Q755673","display_name":"Search algorithm","level":2,"score":0.30961742997169495},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.24046528339385986},{"id":"https://openalex.org/C22149727","wikidata":"https://www.wikidata.org/wiki/Q7940747","display_name":"Voltage graph","level":4,"score":0.201069176197052},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1155/2014/934637","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2014/934637","pdf_url":"https://downloads.hindawi.com/journals/jam/2014/934637.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:CULeuclid:euclid.jam/1425305934","is_oa":false,"landing_page_url":"https://projecteuclid.org/euclid.jam/1425305934","pdf_url":null,"source":{"id":"https://openalex.org/S4306400787","display_name":"Project Euclid (Cornell University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},{"id":"pmh:oai:RePEc:hin:jnljam:934637","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/JAM/2014/934637.xml","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},{"id":"pmh:oai:doaj.org/article:f6a202da1e114175b3f82ef0599a172a","is_oa":true,"landing_page_url":"https://doaj.org/article/f6a202da1e114175b3f82ef0599a172a","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Applied Mathematics, Vol 2014 (2014)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2014/934637","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2014/934637","pdf_url":"https://downloads.hindawi.com/journals/jam/2014/934637.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1700835882","display_name":null,"funder_award_id":"TEC2011-29688-C02-01","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3753169159","display_name":null,"funder_award_id":"61020106002","funder_id":"https://openalex.org/F4320313831","funder_display_name":"Comunidad de Madrid"},{"id":"https://openalex.org/G4278386534","display_name":null,"funder_award_id":"TEC2011-29688-C02-01","funder_id":"https://openalex.org/F4320321837","funder_display_name":"Ministerio de Econom\u00eda y Competitividad"},{"id":"https://openalex.org/G4615618338","display_name":null,"funder_award_id":"61020106002","funder_id":"https://openalex.org/F4320321837","funder_display_name":"Ministerio de Econom\u00eda y Competitividad"},{"id":"https://openalex.org/G4630909246","display_name":null,"funder_award_id":"TEC2011-29688-C02-01","funder_id":"https://openalex.org/F4320322930","funder_display_name":"Ministerio de Ciencia e Innovaci\u00f3n"},{"id":"https://openalex.org/G5053267520","display_name":null,"funder_award_id":"61020106002","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5687900611","display_name":null,"funder_award_id":"S2009TIC-1692","funder_id":"https://openalex.org/F4320313831","funder_display_name":"Comunidad de Madrid"},{"id":"https://openalex.org/G7073446369","display_name":null,"funder_award_id":"2009TIC-1692","funder_id":"https://openalex.org/F4320321837","funder_display_name":"Ministerio de Econom\u00eda y Competitividad"},{"id":"https://openalex.org/G7677683211","display_name":null,"funder_award_id":"2009TIC-1692","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8235235989","display_name":null,"funder_award_id":"TEC2011-29688-C02-01","funder_id":"https://openalex.org/F4320313831","funder_display_name":"Comunidad de Madrid"},{"id":"https://openalex.org/G8618056798","display_name":null,"funder_award_id":"2009TIC-1692","funder_id":"https://openalex.org/F4320313831","funder_display_name":"Comunidad de Madrid"}],"funders":[{"id":"https://openalex.org/F4320313831","display_name":"Comunidad de Madrid","ror":null},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320321837","display_name":"Ministerio de Econom\u00eda y Competitividad","ror":"https://ror.org/034900433"},{"id":"https://openalex.org/F4320322930","display_name":"Ministerio de Ciencia e Innovaci\u00f3n","ror":"https://ror.org/034900433"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2096704006.pdf","grobid_xml":"https://content.openalex.org/works/W2096704006.grobid-xml"},"referenced_works_count":17,"referenced_works":["https://openalex.org/W59393187","https://openalex.org/W165726963","https://openalex.org/W634275713","https://openalex.org/W1498992687","https://openalex.org/W1508953846","https://openalex.org/W1554807050","https://openalex.org/W1687588989","https://openalex.org/W1864537025","https://openalex.org/W1990600049","https://openalex.org/W2027876313","https://openalex.org/W2052728310","https://openalex.org/W2069573286","https://openalex.org/W2125850585","https://openalex.org/W2135573930","https://openalex.org/W2143387021","https://openalex.org/W2408286483","https://openalex.org/W2963996335"],"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":{"Graph":[0],"automorphism":[1,15,74],"(GA)":[2],"is":[3,11,150,161],"a":[4,25,64,110,132,154],"classical":[5],"problem,":[6],"in":[7,104,153,186],"which":[8,37,160],"the":[9,14,29,39,49,52,73,90,119,125,128,157,171],"objective":[10],"to":[12],"compute":[13],"group":[16,75],"of":[17,41,44,51,76,112,121,127,144,156,175,179],"an":[18,77,100],"input":[19,78],"graph.":[20,79],"Most":[21],"GA":[22,65,91,182],"algorithms":[23],"explore":[24],"search":[26,53,129,172],"tree":[27,54,173],"using":[28],"individualization-refinement":[30],"procedure.":[31],"Four":[32],"novel":[33],"techniques":[34,70,85,123],"are":[35,138,146],"proposed":[36],"increase":[38,103],"performance":[40],"any":[42],"algorithm":[43,66,92],"this":[45],"type":[46],"by":[47,56],"reducing":[48],"depth":[50],"and":[55,141],"effectively":[57],"pruning":[58],"it.":[59],"We":[60],"formally":[61],"prove":[62],"that":[63,67],"uses":[68],"these":[69,84,122,194],"correctly":[71],"computes":[72],"Then,":[80],"we":[81,116,168],"describe":[82],"how":[83],"have":[86,117,169],"been":[87],"incorporated":[88],"into":[89],"conauto,":[93],"as":[94],"conauto-2.03":[95,176],",":[96],"with":[97],"at":[98],"most":[99,187],"additive":[101],"polynomial":[102],"its":[105],"asymptotic":[106],"time":[107],"complexity.":[108],"Using":[109],"benchmark":[111],"different":[113],"graph":[114,165],"families,":[115],"evaluated":[118],"impact":[120],"on":[124],"size":[126,174],"tree,":[130],"observing":[131,184],"significant":[133],"reduction":[134,155],"both":[135],"when":[136,142],"they":[137],"applied":[139,147],"individually":[140],"all":[143],"them":[145],"together.":[148],"This":[149],"also":[151],"reflected":[152],"running":[158],"time,":[159],"substantial":[162],"for":[163],"some":[164],"families.":[166],"Finally,":[167],"compared":[170],"against":[177],"those":[178],"other":[180],"popular":[181],"algorithms,":[183],"that,":[185],"cases,":[188],"conauto":[189],"explores":[190],"less":[191],"nodes":[192],"than":[193],"algorithms.":[195]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":7},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}