{"id":"https://openalex.org/W3167294045","doi":"https://doi.org/10.1145/3406325.3451016","title":"Constant approximating k-clique is w[1]-hard","display_name":"Constant approximating k-clique is w[1]-hard","publication_year":2021,"publication_date":"2021-06-15","ids":{"openalex":"https://openalex.org/W3167294045","doi":"https://doi.org/10.1145/3406325.3451016","mag":"3167294045"},"language":"en","primary_location":{"id":"doi:10.1145/3406325.3451016","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3406325.3451016","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 53rd Annual ACM SIGACT Symposium on Theory of Computing","raw_type":"proceedings-article"},"type":"conference-paper","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/A5101847362","display_name":"Bingkai Lin","orcid":"https://orcid.org/0000-0002-3444-6380"},"institutions":[{"id":"https://openalex.org/I881766915","display_name":"Nanjing University","ror":"https://ror.org/01rxvg760","country_code":"CN","type":"education","lineage":["https://openalex.org/I881766915"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Bingkai Lin","raw_affiliation_strings":["Nanjing University, China"],"raw_orcid":"https://orcid.org/0000-0002-3444-6380","affiliations":[{"raw_affiliation_string":"Nanjing University, China","institution_ids":["https://openalex.org/I881766915"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5101847362"],"corresponding_institution_ids":["https://openalex.org/I881766915"],"apc_list":null,"apc_paid":null,"fwci":3.6506,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.94051447,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"1749","last_page":"1756"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":1.0,"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":1.0,"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/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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.998199999332428,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"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":0.8116222620010376},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.6446719765663147},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.641012966632843},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6132587194442749},{"id":"https://openalex.org/keywords/clique","display_name":"Clique","score":0.6027374863624573},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.5776733756065369},{"id":"https://openalex.org/keywords/simple-graph","display_name":"Simple graph","score":0.5341595411300659},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.43451613187789917},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.14327839016914368}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8116222620010376},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.6446719765663147},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.641012966632843},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6132587194442749},{"id":"https://openalex.org/C2777035058","wikidata":"https://www.wikidata.org/wiki/Q1662634","display_name":"Clique","level":2,"score":0.6027374863624573},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.5776733756065369},{"id":"https://openalex.org/C2993105083","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Simple graph","level":3,"score":0.5341595411300659},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.43451613187789917},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.14327839016914368},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/3406325.3451016","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3406325.3451016","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 53rd Annual ACM SIGACT Symposium on Theory of Computing","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":36,"referenced_works":["https://openalex.org/W1492330052","https://openalex.org/W1501644705","https://openalex.org/W1531592115","https://openalex.org/W1537516439","https://openalex.org/W1980809300","https://openalex.org/W1991006936","https://openalex.org/W1995725694","https://openalex.org/W2013821228","https://openalex.org/W2019578639","https://openalex.org/W2029910715","https://openalex.org/W2061513598","https://openalex.org/W2071412421","https://openalex.org/W2086653003","https://openalex.org/W2116087731","https://openalex.org/W2126186592","https://openalex.org/W2148352980","https://openalex.org/W2152221184","https://openalex.org/W2277438216","https://openalex.org/W2295669206","https://openalex.org/W2305183037","https://openalex.org/W2401610261","https://openalex.org/W2490706771","https://openalex.org/W2496163386","https://openalex.org/W2576456765","https://openalex.org/W2775084241","https://openalex.org/W2893188841","https://openalex.org/W2913688336","https://openalex.org/W2942833401","https://openalex.org/W2963439929","https://openalex.org/W2968783941","https://openalex.org/W3002240277","https://openalex.org/W3004537778","https://openalex.org/W3036402366","https://openalex.org/W4210631930","https://openalex.org/W4292230561","https://openalex.org/W6645641174"],"related_works":["https://openalex.org/W2897806428","https://openalex.org/W2391518723","https://openalex.org/W3014749936","https://openalex.org/W2805115653","https://openalex.org/W1996149838","https://openalex.org/W4205475737","https://openalex.org/W2364012696","https://openalex.org/W2622512907","https://openalex.org/W4312839729","https://openalex.org/W3189256254"],"abstract_inverted_index":{"For":[0],"every":[1],"graph":[2,25,38],"G,":[3,26],"let":[4],"\u03c9(G)":[5,80],"be":[6],"the":[7,75],"largest":[8],"size":[9],"of":[10],"complete":[11],"subgraph":[12],"in":[13,44],"G.":[14],"This":[15,65],"paper":[16],"presents":[17],"a":[18,24,27,32,37],"simple":[19],"algorithm":[20,71],"which,":[21],"on":[22],"input":[23],"positive":[28],"integer":[29,42],"k":[30,78],"and":[31,40,79],"small":[33],"constant":[34],"\u0454>0,":[35],"outputs":[36],"G\u2032":[39],"an":[41],"k\u2032":[43],"2\u0398(k5)\u00b7":[45],"|G|O(1)-time":[46,70],"such":[47],"that":[48,67],"(1)":[49],"k\u2032\u2264":[50],"2\u0398(k5),":[51],"(2)":[52],"if":[53,60],"\u03c9(G)\u2265":[54,77],"k,":[55],"then":[56,62],"\u03c9(G\u2032)\u2265":[57],"k\u2032,":[58],"(3)":[59],"\u03c9(G)<k,":[61],"\u03c9(G\u2032)<":[63],"(1\u2212\u0454)k\u2032.":[64],"implies":[66],"no":[68],"f(k)\u00b7":[69],"can":[72],"distinguish":[73],"between":[74],"cases":[76]},"counts_by_year":[{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":5},{"year":2021,"cited_by_count":1}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}