{"id":"https://openalex.org/W4393160760","doi":"https://doi.org/10.1609/aaai.v38i18.30065","title":"A Fast Exact Solver with Theoretical Analysis for the Maximum Edge-Weighted Clique Problem","display_name":"A Fast Exact Solver with Theoretical Analysis for the Maximum Edge-Weighted Clique Problem","publication_year":2024,"publication_date":"2024-03-24","ids":{"openalex":"https://openalex.org/W4393160760","doi":"https://doi.org/10.1609/aaai.v38i18.30065"},"language":"en","primary_location":{"is_oa":true,"landing_page_url":"https://doi.org/10.1609/aaai.v38i18.30065","pdf_url":"https://ojs.aaai.org/index.php/AAAI/article/download/30065/31874","source":{"id":"https://openalex.org/S4210191458","display_name":"Proceedings of the AAAI Conference on Artificial Intelligence","issn_l":"2159-5399","issn":["2159-5399","2374-3468"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310320058","host_organization_name":"Association for the Advancement of Artificial Intelligence","host_organization_lineage":["https://openalex.org/P4310320058"],"host_organization_lineage_names":["Association for the Advancement of Artificial Intelligence"],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true},"type":"article","type_crossref":"journal-article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://ojs.aaai.org/index.php/AAAI/article/download/30065/31874","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5112998012","display_name":"Lu Liu","orcid":null},"institutions":[{"id":"https://openalex.org/I150229711","display_name":"University of Electronic Science and Technology of China","ror":"https://ror.org/04qr3zq92","country_code":"CN","type":"education","lineage":["https://openalex.org/I150229711"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Lu Liu","raw_affiliation_strings":["University of Electronic Science and Technology of China"],"affiliations":[{"raw_affiliation_string":"University of Electronic Science and Technology of China","institution_ids":["https://openalex.org/I150229711"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5033729619","display_name":"Mingyu Xiao","orcid":"https://orcid.org/0000-0002-1012-2373"},"institutions":[{"id":"https://openalex.org/I150229711","display_name":"University of Electronic Science and Technology of China","ror":"https://ror.org/04qr3zq92","country_code":"CN","type":"education","lineage":["https://openalex.org/I150229711"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Mingyu Xiao","raw_affiliation_strings":["University of Electronic Science and Technology of China"],"affiliations":[{"raw_affiliation_string":"University of Electronic Science and Technology of China","institution_ids":["https://openalex.org/I150229711"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5010806376","display_name":"Yi Zhou","orcid":"https://orcid.org/0000-0001-9254-3245"},"institutions":[{"id":"https://openalex.org/I150229711","display_name":"University of Electronic Science and Technology of China","ror":"https://ror.org/04qr3zq92","country_code":"CN","type":"education","lineage":["https://openalex.org/I150229711"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yi Zhou","raw_affiliation_strings":["University of Electronic Science and Technology of China"],"affiliations":[{"raw_affiliation_string":"University of Electronic Science and Technology of China","institution_ids":["https://openalex.org/I150229711"]}]}],"institution_assertions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"fulltext_origin":"pdf","cited_by_count":0,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":0,"max":84},"biblio":{"volume":"38","issue":"18","first_page":"20768","last_page":"20776"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T10715","display_name":"Distributed and Parallel Computing Systems","score":0.2778,"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"}},"topics":[{"id":"https://openalex.org/T10715","display_name":"Distributed and Parallel Computing Systems","score":0.2778,"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/clique","display_name":"Clique","score":0.7758071},{"id":"https://openalex.org/keywords/solver","display_name":"Solver","score":0.7261566}],"concepts":[{"id":"https://openalex.org/C2777035058","wikidata":"https://www.wikidata.org/wiki/Q1662634","display_name":"Clique","level":2,"score":0.7758071},{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.7261566},{"id":"https://openalex.org/C162307627","wikidata":"https://www.wikidata.org/wiki/Q204833","display_name":"Enhanced Data Rates for GSM Evolution","level":2,"score":0.6712858},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4397288},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.37180352},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.33299786},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.26604527},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.12568927}],"mesh":[],"locations_count":1,"locations":[{"is_oa":true,"landing_page_url":"https://doi.org/10.1609/aaai.v38i18.30065","pdf_url":"https://ojs.aaai.org/index.php/AAAI/article/download/30065/31874","source":{"id":"https://openalex.org/S4210191458","display_name":"Proceedings of the AAAI Conference on Artificial Intelligence","issn_l":"2159-5399","issn":["2159-5399","2374-3468"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310320058","host_organization_name":"Association for the Advancement of Artificial Intelligence","host_organization_lineage":["https://openalex.org/P4310320058"],"host_organization_lineage_names":["Association for the Advancement of Artificial Intelligence"],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true}],"best_oa_location":{"is_oa":true,"landing_page_url":"https://doi.org/10.1609/aaai.v38i18.30065","pdf_url":"https://ojs.aaai.org/index.php/AAAI/article/download/30065/31874","source":{"id":"https://openalex.org/S4210191458","display_name":"Proceedings of the AAAI Conference on Artificial Intelligence","issn_l":"2159-5399","issn":["2159-5399","2374-3468"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310320058","host_organization_name":"Association for the Advancement of Artificial Intelligence","host_organization_lineage":["https://openalex.org/P4310320058"],"host_organization_lineage_names":["Association for the Advancement of Artificial Intelligence"],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true},"sustainable_development_goals":[],"grants":[],"datasets":[],"versions":[],"referenced_works_count":26,"referenced_works":["https://openalex.org/W1969335781","https://openalex.org/W1975442866","https://openalex.org/W1987363726","https://openalex.org/W2011039300","https://openalex.org/W2032950184","https://openalex.org/W2035372875","https://openalex.org/W2068617151","https://openalex.org/W2079439262","https://openalex.org/W2081768921","https://openalex.org/W2094314299","https://openalex.org/W2156252543","https://openalex.org/W2246396359","https://openalex.org/W2321167683","https://openalex.org/W2395714141","https://openalex.org/W2589796617","https://openalex.org/W2776934400","https://openalex.org/W2787956586","https://openalex.org/W2789302726","https://openalex.org/W2790273429","https://openalex.org/W2885029410","https://openalex.org/W2931983555","https://openalex.org/W2945384365","https://openalex.org/W3002616337","https://openalex.org/W3004715904","https://openalex.org/W3026685272","https://openalex.org/W749637598"],"related_works":["https://openalex.org/W4238204885","https://openalex.org/W3002753104","https://openalex.org/W2963966623","https://openalex.org/W2600246793","https://openalex.org/W2142036596","https://openalex.org/W2077600819","https://openalex.org/W2072657027","https://openalex.org/W2061531152","https://openalex.org/W2007980826","https://openalex.org/W1979597421"],"abstract_inverted_index":{"The":[0,167],"maximum":[1,8,20],"vertex-weighted":[2],"clique":[3,10,21],"problem":[4,11],"(MVWCP)":[5],"and":[6,30,100],"the":[7,18,32,45,49,62,66,75,78,82,137,143,152,159,184],"edge-weighted":[9],"(MEWCP)":[12],"are":[13],"two":[14,79],"natural":[15],"extensions":[16],"of":[17,48,65,77,122,131,140,146,161,197,203,216],"fundamental":[19],"problem.":[22],"In":[23,104,124],"this":[24],"paper,":[25],"we":[26,89,126,157],"systematically":[27],"study":[28],"MEWCP":[29,40,149],"make":[31],"following":[33],"major":[34],"contributions:":[35],"(1)":[36],"We":[37],"show":[38],"that":[39,170,183],"is":[41,51,58,68],"NP-hard":[42],"even":[43],"when":[44,61],"minimum":[46,63],"degree":[47,64],"graph":[50,67],"n-2,":[52],"in":[53,142],"contrast":[54],"to":[55,189],"MVWCP":[56],"which":[57,116,135],"polynomial-time":[59],"solvable":[60],"at":[69],"least":[70],"n-3.":[71],"This":[72],"result":[73],"distinguishes":[74],"complexity":[76],"problems":[80],"for":[81,118,133,151],"first":[83,153],"time.":[84,154],"(2)":[85],"To":[86],"address":[87],"MEWCP,":[88],"develop":[90],"an":[91,200,213],"efficient":[92,120],"branch-and-bound":[93],"algorithm":[94],"called":[95],"MEWCat":[96,106,162,171,194,211],"with":[97,199],"both":[98],"practical":[99,147],"theoretical":[101],"performance":[102,160],"guarantees.":[103],"practice,":[105],"utilizes":[107],"a":[108,128],"new":[109],"upper":[110],"bound":[111,130,139],"tighter":[112],"than":[113,205],"existing":[114],"ones,":[115],"allows":[117],"more":[119],"pruning":[121],"branches.":[123],"theory,":[125],"prove":[127],"running-time":[129],"O*(1.4423^n)":[132],"MEWCat,":[134],"breaks":[136],"trivial":[138],"O*(2^n)":[141],"research":[144],"line":[145],"exact":[148,174],"solvers":[150,175],"(3)":[155],"Empirically,":[156],"evaluate":[158],"on":[163,179],"various":[164],"benchmark":[165],"instances.":[166],"experiments":[168],"demonstrate":[169],"outperforms":[172],"state-of-the-art":[173,185],"significantly.":[176],"For":[177],"instance,":[178],"16":[180],"DIMACS":[181],"graphs":[182],"solver":[186],"BBEWC":[187],"fails":[188],"solve":[190],"within":[191],"7200":[192],"seconds,":[193],"solves":[195],"all":[196],"them":[198],"average":[201,214],"time":[202],"less":[204],"1000":[206],"seconds.":[207],"On":[208],"real-world":[209],"graphs,":[210],"achieves":[212],"speedup":[215],"over":[217],"36x.":[218]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W4393160760","counts_by_year":[],"updated_date":"2024-12-31T09:56:10.659677","created_date":"2024-03-26"}