{"id":"https://openalex.org/W2113688289","doi":"https://doi.org/10.1002/net.3230230308","title":"An upper bound on the number of cliques in a graph","display_name":"An upper bound on the number of cliques in a graph","publication_year":1993,"publication_date":"1993-05-01","ids":{"openalex":"https://openalex.org/W2113688289","doi":"https://doi.org/10.1002/net.3230230308","mag":"2113688289"},"language":"en","primary_location":{"id":"doi:10.1002/net.3230230308","is_oa":false,"landing_page_url":"https://doi.org/10.1002/net.3230230308","pdf_url":null,"source":{"id":"https://openalex.org/S191798613","display_name":"Networks","issn_l":"0028-3045","issn":["0028-3045","1097-0037"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Networks","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/A5015757827","display_name":"Martin Farber","orcid":null},"institutions":[{"id":"https://openalex.org/I1283103587","display_name":"AT&T (United States)","ror":"https://ror.org/02bbd5539","country_code":"US","type":"company","lineage":["https://openalex.org/I1283103587"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Martin Farber","raw_affiliation_strings":["AT&T Bell Laboratories, Holmdel, NJ 07733","AT&T Bell Labs , Holmdel, NJ, 07733"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"AT&T Bell Laboratories, Holmdel, NJ 07733","institution_ids":["https://openalex.org/I1283103587"]},{"raw_affiliation_string":"AT&T Bell Labs , Holmdel, NJ, 07733","institution_ids":["https://openalex.org/I1283103587"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5001691405","display_name":"Mih\u00e1ly Hujter","orcid":"https://orcid.org/0000-0002-0355-9032"},"institutions":[{"id":"https://openalex.org/I20230540","display_name":"University of Miskolc","ror":"https://ror.org/038g7dk46","country_code":"HU","type":"education","lineage":["https://openalex.org/I20230540"]}],"countries":["HU"],"is_corresponding":false,"raw_author_name":"Mih\u00e1ly Hujter","raw_affiliation_strings":["Mathematics Institute, University of Miskolc, Miskolc-Egyetemva\u0301ros, H-3515, Hungary","Mathematics Institute, University of Miskolc, Miskolc-Egyetemv\u00e1ros, H-3515, Hungary"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematics Institute, University of Miskolc, Miskolc-Egyetemva\u0301ros, H-3515, Hungary","institution_ids":["https://openalex.org/I20230540"]},{"raw_affiliation_string":"Mathematics Institute, University of Miskolc, Miskolc-Egyetemv\u00e1ros, H-3515, Hungary","institution_ids":["https://openalex.org/I20230540"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5026437192","display_name":"\u0179solt Tuza","orcid":"https://orcid.org/0000-0003-3235-9221"},"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":"Zsolt Tuza","raw_affiliation_strings":["Computer and Automation Institute, Hungarian Academy of Sciences, Budapest, Kende u. 13-17, H-1111, Hungary","Computer and Automation Institute, Hungarian Academy of Sciences, Budapest, Kende u. 13\u201017, H\u20101111, Hungary"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Computer and Automation Institute, Hungarian Academy of Sciences, Budapest, Kende u. 13-17, H-1111, Hungary","institution_ids":["https://openalex.org/I7597260"]},{"raw_affiliation_string":"Computer and Automation Institute, Hungarian Academy of Sciences, Budapest, Kende u. 13\u201017, H\u20101111, Hungary","institution_ids":["https://openalex.org/I7597260"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":3400,"currency":"USD","value_usd":3400},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":51,"citation_normalized_percentile":{"value":0.24488879,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"23","issue":"3","first_page":"207","last_page":"210"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9998000264167786,"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"}},"topics":[{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9998000264167786,"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/T10829","display_name":"Interconnection Networks and Systems","score":0.9993000030517578,"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"}},{"id":"https://openalex.org/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9991999864578247,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.8891902565956116},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.675875723361969},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.672646164894104},{"id":"https://openalex.org/keywords/complement","display_name":"Complement (music)","score":0.5671880841255188},{"id":"https://openalex.org/keywords/disjoint-sets","display_name":"Disjoint sets","score":0.5600757002830505},{"id":"https://openalex.org/keywords/pairwise-comparison","display_name":"Pairwise comparison","score":0.5547338128089905},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5410228371620178},{"id":"https://openalex.org/keywords/induced-subgraph","display_name":"Induced subgraph","score":0.5158376097679138},{"id":"https://openalex.org/keywords/graph-factorization","display_name":"Graph factorization","score":0.5067551732063293},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.4703298509120941},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.451529860496521},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.18240687251091003},{"id":"https://openalex.org/keywords/graph-power","display_name":"Graph power","score":0.1334569752216339},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.0652959942817688}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8891902565956116},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.675875723361969},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.672646164894104},{"id":"https://openalex.org/C112313634","wikidata":"https://www.wikidata.org/wiki/Q7886648","display_name":"Complement (music)","level":5,"score":0.5671880841255188},{"id":"https://openalex.org/C45340560","wikidata":"https://www.wikidata.org/wiki/Q215382","display_name":"Disjoint sets","level":2,"score":0.5600757002830505},{"id":"https://openalex.org/C184898388","wikidata":"https://www.wikidata.org/wiki/Q1435712","display_name":"Pairwise comparison","level":2,"score":0.5547338128089905},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5410228371620178},{"id":"https://openalex.org/C2778012994","wikidata":"https://www.wikidata.org/wiki/Q24743362","display_name":"Induced subgraph","level":4,"score":0.5158376097679138},{"id":"https://openalex.org/C128115575","wikidata":"https://www.wikidata.org/wiki/Q5597083","display_name":"Graph factorization","level":5,"score":0.5067551732063293},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.4703298509120941},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.451529860496521},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.18240687251091003},{"id":"https://openalex.org/C149530733","wikidata":"https://www.wikidata.org/wiki/Q5597091","display_name":"Graph power","level":4,"score":0.1334569752216339},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.0652959942817688},{"id":"https://openalex.org/C188082640","wikidata":"https://www.wikidata.org/wiki/Q1780899","display_name":"Complementation","level":4,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C127716648","wikidata":"https://www.wikidata.org/wiki/Q104053","display_name":"Phenotype","level":3,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1002/net.3230230308","is_oa":false,"landing_page_url":"https://doi.org/10.1002/net.3230230308","pdf_url":null,"source":{"id":"https://openalex.org/S191798613","display_name":"Networks","issn_l":"0028-3045","issn":["0028-3045","1097-0037"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Networks","raw_type":"journal-article"},{"id":"pmh:oai:eprints.sztaki.hu:378","is_oa":false,"landing_page_url":"http://eprints.sztaki.hu/378/","pdf_url":null,"source":{"id":"https://openalex.org/S4306401907","display_name":"SZTAKI Publication Repository (Hungarian Academy of Sciences)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I7597260","host_organization_name":"Hungarian Academy of Sciences","host_organization_lineage":["https://openalex.org/I7597260"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"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/W1968402726","https://openalex.org/W1973664393","https://openalex.org/W2002766659","https://openalex.org/W2013568176","https://openalex.org/W2018154144","https://openalex.org/W2030398678","https://openalex.org/W2033003769","https://openalex.org/W2035645338","https://openalex.org/W2050392684","https://openalex.org/W2070147577"],"related_works":["https://openalex.org/W2031876706","https://openalex.org/W2020053772","https://openalex.org/W2035433397","https://openalex.org/W3084441407","https://openalex.org/W1979190428","https://openalex.org/W2789636091","https://openalex.org/W4287668988","https://openalex.org/W2007346569","https://openalex.org/W2914166021","https://openalex.org/W2794478167"],"abstract_inverted_index":{"Abstract":[0],"Giving":[1],"a":[2,6,24],"partial":[3],"solution":[4],"to":[5],"conjecture":[7],"of":[8,23,33],"Balas":[9],"and":[10],"Yu":[11],"[":[12],"Networks":[13],"19":[14],"(1989)":[15],"247\u2013235],":[16],"we":[17],"prove":[18],"that":[19],"if":[20],"the":[21],"complement":[22],"graph":[25],"G":[26,45],"on":[27],"n":[28,50],"vertices":[29],"contains":[30],"no":[31],"set":[32],"t":[34,52,55],"+":[35],"1":[36],"pairwise":[37],"disjoint":[38],"edges":[39],"as":[40],"an":[41],"induced":[42],"subgraph,":[43],"then":[44],"has":[46],"fewer":[47],"than":[48],"(":[49],"/2":[51],")":[53],"2":[54],"maximal":[56],"complete":[57],"subgraphs.":[58],"\u00a9":[59],"1993":[60],"by":[61],"John":[62],"Wiley":[63],"&amp;":[64],"Sons,":[65],"Inc.":[66]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":2},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":4}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
