{"id":"https://openalex.org/W2147646759","doi":"https://doi.org/10.1145/1822327.1822338","title":"Estimation of the number of cliques in a random graph","display_name":"Estimation of the number of cliques in a random graph","publication_year":2010,"publication_date":"2010-05-19","ids":{"openalex":"https://openalex.org/W2147646759","doi":"https://doi.org/10.1145/1822327.1822338","mag":"2147646759"},"language":"en","primary_location":{"id":"doi:10.1145/1822327.1822338","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1822327.1822338","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the Third C* Conference on Computer Science and Software Engineering","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/A5025845974","display_name":"Sonal Patel","orcid":"https://orcid.org/0000-0002-2012-8066"},"institutions":[{"id":"https://openalex.org/I530967","display_name":"Toronto Metropolitan University","ror":"https://ror.org/05g13zd79","country_code":"CA","type":"education","lineage":["https://openalex.org/I530967"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Sonal Patel","raw_affiliation_strings":["Ryerson University, Toronto, ON, Canada"],"affiliations":[{"raw_affiliation_string":"Ryerson University, Toronto, ON, Canada","institution_ids":["https://openalex.org/I530967"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5021974536","display_name":"Eric Harley","orcid":"https://orcid.org/0000-0001-6365-8609"},"institutions":[{"id":"https://openalex.org/I530967","display_name":"Toronto Metropolitan University","ror":"https://ror.org/05g13zd79","country_code":"CA","type":"education","lineage":["https://openalex.org/I530967"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Eric Harley","raw_affiliation_strings":["Ryerson University, Toronto, ON, Canada"],"affiliations":[{"raw_affiliation_string":"Ryerson University, Toronto, ON, Canada","institution_ids":["https://openalex.org/I530967"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5025845974"],"corresponding_institution_ids":["https://openalex.org/I530967"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.17525465,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"84","last_page":"88"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10538","display_name":"Data Mining Algorithms and Applications","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/1710","display_name":"Information Systems"},"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/T10538","display_name":"Data Mining Algorithms and Applications","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/1710","display_name":"Information Systems"},"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/T11106","display_name":"Data Management and Algorithms","score":0.9988999962806702,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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":0.9987000226974487,"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/exponential-random-graph-models","display_name":"Exponential random graph models","score":0.6655555367469788},{"id":"https://openalex.org/keywords/random-graph","display_name":"Random graph","score":0.613269567489624},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5892767310142517},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5861795544624329},{"id":"https://openalex.org/keywords/induced-subgraph-isomorphism-problem","display_name":"Induced subgraph isomorphism problem","score":0.5664310455322266},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.5268279910087585},{"id":"https://openalex.org/keywords/clique","display_name":"Clique","score":0.5193894505500793},{"id":"https://openalex.org/keywords/clique-graph","display_name":"Clique graph","score":0.5076786279678345},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.46883314847946167},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.43309712409973145},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.25775742530822754},{"id":"https://openalex.org/keywords/graph-power","display_name":"Graph power","score":0.14220142364501953},{"id":"https://openalex.org/keywords/voltage-graph","display_name":"Voltage graph","score":0.08610531687736511}],"concepts":[{"id":"https://openalex.org/C30549945","wikidata":"https://www.wikidata.org/wiki/Q5421526","display_name":"Exponential random graph models","level":4,"score":0.6655555367469788},{"id":"https://openalex.org/C47458327","wikidata":"https://www.wikidata.org/wiki/Q910404","display_name":"Random graph","level":3,"score":0.613269567489624},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5892767310142517},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5861795544624329},{"id":"https://openalex.org/C191241153","wikidata":"https://www.wikidata.org/wiki/Q6027240","display_name":"Induced subgraph isomorphism problem","level":5,"score":0.5664310455322266},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.5268279910087585},{"id":"https://openalex.org/C2777035058","wikidata":"https://www.wikidata.org/wiki/Q1662634","display_name":"Clique","level":2,"score":0.5193894505500793},{"id":"https://openalex.org/C189239283","wikidata":"https://www.wikidata.org/wiki/Q17101022","display_name":"Clique graph","level":5,"score":0.5076786279678345},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.46883314847946167},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.43309712409973145},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.25775742530822754},{"id":"https://openalex.org/C149530733","wikidata":"https://www.wikidata.org/wiki/Q5597091","display_name":"Graph power","level":4,"score":0.14220142364501953},{"id":"https://openalex.org/C22149727","wikidata":"https://www.wikidata.org/wiki/Q7940747","display_name":"Voltage graph","level":4,"score":0.08610531687736511}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/1822327.1822338","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1822327.1822338","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the Third C* Conference on Computer Science and Software Engineering","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W390146837","https://openalex.org/W1506285740","https://openalex.org/W2013568176","https://openalex.org/W2094897458","https://openalex.org/W2106855819","https://openalex.org/W2116007667","https://openalex.org/W2138163102","https://openalex.org/W2151626491","https://openalex.org/W2905110430","https://openalex.org/W4211250195","https://openalex.org/W4243450781"],"related_works":["https://openalex.org/W3102036813","https://openalex.org/W2600013268","https://openalex.org/W2359341608","https://openalex.org/W2806927426","https://openalex.org/W2597949273","https://openalex.org/W3007771191","https://openalex.org/W2794565019","https://openalex.org/W2154529522","https://openalex.org/W3106517793","https://openalex.org/W4402701949"],"abstract_inverted_index":{"This":[0],"paper":[1],"examines":[2],"methods":[3,85,119],"for":[4,120],"predicting":[5],"and":[6,110,122],"estimating":[7],"the":[8,32,63,74,77,92,111,118],"number":[9,93],"of":[10,46,76,94],"maximal":[11,35,56],"cliques":[12,57,95],"in":[13,31,58,96],"a":[14,20,38,43,59,97],"random":[15,98],"graph.":[16,99],"A":[17,34],"clique":[18,36,39],"is":[19,25,37,41,102],"subgraph":[21,45],"where":[22],"each":[23],"vertex":[24,30],"connected":[26],"to":[27,90],"every":[28],"other":[29],"subgraph.":[33],"which":[40],"not":[42],"proper":[44],"another":[47,106],"clique.":[48],"There":[49],"are":[50,70],"many":[51],"algorithms":[52],"that":[53,86],"enumerate":[54],"all":[55],"graph,":[60],"but":[61],"since":[62],"task":[64],"can":[65],"take":[66],"exponential":[67],"time,":[68],"there":[69],"practical":[71],"limits":[72],"on":[73,104,107],"size":[75],"input.":[78],"In":[79],"this":[80],"paper,":[81],"we":[82],"examine":[83],"three":[84],"could":[87],"be":[88],"used":[89],"estimate":[91],"One":[100],"method":[101],"based":[103],"sampling,":[105],"probability":[108],"arguments":[109],"third":[112],"uses":[113],"curve":[114],"fitting.":[115],"We":[116],"compare":[117],"accuracy":[121],"efficiency.":[123]},"counts_by_year":[{"year":2014,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}