{"id":"https://openalex.org/W2089417393","doi":"https://doi.org/10.1137/0206036","title":"A New Algorithm for Generating All the Maximal Independent Sets","display_name":"A New Algorithm for Generating All the Maximal Independent Sets","publication_year":1977,"publication_date":"1977-09-01","ids":{"openalex":"https://openalex.org/W2089417393","doi":"https://doi.org/10.1137/0206036","mag":"2089417393"},"language":"en","primary_location":{"id":"doi:10.1137/0206036","is_oa":false,"landing_page_url":"https://doi.org/10.1137/0206036","pdf_url":null,"source":{"id":"https://openalex.org/S153560523","display_name":"SIAM Journal on Computing","issn_l":"0097-5397","issn":["0097-5397","1095-7111"],"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 Computing","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/A5063396342","display_name":"Shuji Tsukiyama","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Shuji Tsukiyama","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5083441667","display_name":"Mikio Ide","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Mikio Ide","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5082627397","display_name":"Hiromu Ariyoshi","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Hiromu Ariyoshi","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5020776893","display_name":"Isao Shirakawa","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Isao Shirakawa","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5063396342"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.4763,"has_fulltext":false,"cited_by_count":614,"citation_normalized_percentile":{"value":0.89162815,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":99,"max":100},"biblio":{"volume":"6","issue":"3","first_page":"505","last_page":"517"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12292","display_name":"Graph Theory and Algorithms","score":0.9955999851226807,"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":0.9955999851226807,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9934999942779541,"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"}},{"id":"https://openalex.org/T11269","display_name":"Algorithms and Data Compression","score":0.9919000267982483,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6586512327194214},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6514430046081543},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5594334006309509},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4957014322280884},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.4515570104122162},{"id":"https://openalex.org/keywords/null-graph","display_name":"Null graph","score":0.44588741660118103},{"id":"https://openalex.org/keywords/independent-set","display_name":"Independent set","score":0.4268718957901001},{"id":"https://openalex.org/keywords/graph-theory","display_name":"Graph theory","score":0.4261816740036011},{"id":"https://openalex.org/keywords/graph-power","display_name":"Graph power","score":0.4192301630973816},{"id":"https://openalex.org/keywords/strength-of-a-graph","display_name":"Strength of a graph","score":0.4190680980682373},{"id":"https://openalex.org/keywords/butterfly-graph","display_name":"Butterfly graph","score":0.416379451751709},{"id":"https://openalex.org/keywords/voltage-graph","display_name":"Voltage graph","score":0.3680480718612671},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3618176281452179},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.31573331356048584}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6586512327194214},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6514430046081543},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5594334006309509},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4957014322280884},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.4515570104122162},{"id":"https://openalex.org/C17169500","wikidata":"https://www.wikidata.org/wiki/Q3033506","display_name":"Null graph","level":5,"score":0.44588741660118103},{"id":"https://openalex.org/C122818955","wikidata":"https://www.wikidata.org/wiki/Q1060343","display_name":"Independent set","level":3,"score":0.4268718957901001},{"id":"https://openalex.org/C88230418","wikidata":"https://www.wikidata.org/wiki/Q131476","display_name":"Graph theory","level":2,"score":0.4261816740036011},{"id":"https://openalex.org/C149530733","wikidata":"https://www.wikidata.org/wiki/Q5597091","display_name":"Graph power","level":4,"score":0.4192301630973816},{"id":"https://openalex.org/C19332903","wikidata":"https://www.wikidata.org/wiki/Q7623247","display_name":"Strength of a graph","level":5,"score":0.4190680980682373},{"id":"https://openalex.org/C18819970","wikidata":"https://www.wikidata.org/wiki/Q3035340","display_name":"Butterfly graph","level":5,"score":0.416379451751709},{"id":"https://openalex.org/C22149727","wikidata":"https://www.wikidata.org/wiki/Q7940747","display_name":"Voltage graph","level":4,"score":0.3680480718612671},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3618176281452179},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.31573331356048584},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/0206036","is_oa":false,"landing_page_url":"https://doi.org/10.1137/0206036","pdf_url":null,"source":{"id":"https://openalex.org/S153560523","display_name":"SIAM Journal on Computing","issn_l":"0097-5397","issn":["0097-5397","1095-7111"],"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 Computing","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":10,"referenced_works":["https://openalex.org/W115590081","https://openalex.org/W1966514658","https://openalex.org/W1979412257","https://openalex.org/W2013568176","https://openalex.org/W2028902195","https://openalex.org/W2037058436","https://openalex.org/W2057084070","https://openalex.org/W2098467469","https://openalex.org/W2116007667","https://openalex.org/W2334820307"],"related_works":["https://openalex.org/W2278094798","https://openalex.org/W2071056049","https://openalex.org/W2261714462","https://openalex.org/W2900680118","https://openalex.org/W2018695296","https://openalex.org/W2089283958","https://openalex.org/W2048112267","https://openalex.org/W1985260677","https://openalex.org/W4384692582","https://openalex.org/W3040845265"],"abstract_inverted_index":{"The":[0],"problem":[1],"of":[2,12,25,31,34,75,82],"generating":[3,47],"all":[4,48],"the":[5,26,32,49,73],"maximal":[6,10,50,79],"independent":[7,51,80],"sets":[8,81],"(or":[9],"cliques)":[11],"a":[13,42,83],"given":[14],"graph":[15,19,35],"is":[16,22],"fundamental":[17],"in":[18,29],"theory":[20],"and":[21,57,64,70,78],"also":[23],"one":[24],"most":[27],"important":[28],"terms":[30],"application":[33],"theory.":[36],"In":[37],"this":[38],"paper,":[39],"we":[40],"present":[41],"new":[43],"efficient":[44],"algorithm":[45],"for":[46,53],"sets,":[52],"which":[54],"processing":[55],"time":[56],"memory":[58],"space":[59],"are":[60,72],"bounded":[61],"by":[62],"$O(nm\\mu)$":[63],"$O(n+m)$,":[65],"respectively,":[66],"where":[67],"n,":[68],"m,":[69],"$\\mu$":[71],"numbers":[74],"vertices,":[76],"edges,":[77],"graph.":[84]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":18},{"year":2024,"cited_by_count":11},{"year":2023,"cited_by_count":16},{"year":2022,"cited_by_count":15},{"year":2021,"cited_by_count":30},{"year":2020,"cited_by_count":28},{"year":2019,"cited_by_count":27},{"year":2018,"cited_by_count":29},{"year":2017,"cited_by_count":17},{"year":2016,"cited_by_count":20},{"year":2015,"cited_by_count":22},{"year":2014,"cited_by_count":31},{"year":2013,"cited_by_count":34},{"year":2012,"cited_by_count":28}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
