{"id":"https://openalex.org/W2790246282","doi":null,"title":"A simple algorithm for Max Cut","display_name":"A simple algorithm for Max Cut","publication_year":2018,"publication_date":"2018-03-17","ids":{"openalex":"https://openalex.org/W2790246282","mag":"2790246282"},"language":"en","primary_location":{"id":"mag:2790246282","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1803.06496v1","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":[],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1803.06496v1","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5108809490","display_name":"Kung-Ching Chang","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Kung-Ching Chang","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5061728488","display_name":"Sihong Shao","orcid":"https://orcid.org/0000-0001-7439-9163","observed_orcids":["https://orcid.org/0000-0001-7439-9163"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Sihong Shao","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0001-7439-9163","affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100366067","display_name":"Dong Zhang","orcid":"https://orcid.org/0000-0001-6756-6664","observed_orcids":["https://orcid.org/0000-0001-6756-6664"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Dong Zhang","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0001-6756-6664","affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5101915841","display_name":"Weixi Zhang","orcid":"https://orcid.org/0009-0007-4769-2779","observed_orcids":["https://orcid.org/0009-0007-4769-2779"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Weixi Zhang","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0009-0007-4769-2779","affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.8682000041007996,"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":0.8682000041007996,"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.08889999985694885,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10100","display_name":"Metaheuristic Optimization Algorithms Research","score":0.02710000053048134,"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/max-cut","display_name":"MaxCut","score":0.8899999856948853},{"id":"https://openalex.org/keywords/local-optima","display_name":"local optima","score":0.847000002861023},{"id":"https://openalex.org/keywords/combinatorial-optimization","display_name":"combinatorial optimization","score":0.6940000057220459},{"id":"https://openalex.org/keywords/g-sets","display_name":"G-sets","score":0.6439999938011169}],"concepts":[{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.8522157669067383},{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.7717094421386719},{"id":"https://openalex.org/C2778091849","wikidata":"https://www.wikidata.org/wiki/Q4959649","display_name":"Breakout","level":2,"score":0.6869578957557678},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6335679292678833},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5670698285102844},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5416513085365295},{"id":"https://openalex.org/C97542219","wikidata":"https://www.wikidata.org/wiki/Q497863","display_name":"SIMPLE algorithm","level":2,"score":0.4924508035182953},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4892847239971161},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.4516996741294861},{"id":"https://openalex.org/C165526019","wikidata":"https://www.wikidata.org/wiki/Q942557","display_name":"Maximum cut","level":3,"score":0.43135398626327515},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3869442045688629},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.09753715991973877},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"mag:2790246282","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1803.06496v1","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null}],"best_oa_location":{"id":"mag:2790246282","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1803.06496v1","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W7099723753","https://openalex.org/W7099901795","https://openalex.org/W1494985256","https://openalex.org/W7099451692","https://openalex.org/W6959943506","https://openalex.org/W6885057445","https://openalex.org/W7097714819","https://openalex.org/W1553633862","https://openalex.org/W3217068742","https://openalex.org/W1749258524"],"abstract_inverted_index":{"Based":[0],"on":[1,42],"an":[2],"explicit":[3],"equivalent":[4],"continuous":[5,12],"optimization":[6,36],"problem,":[7],"we":[8],"propose":[9],"a":[10,21],"simple":[11,59],"iterative":[13],"algorithm":[14,60],"for":[15],"Max":[16],"Cut,":[17],"which":[18],"converges":[19],"to":[20],"local":[22,63],"optimum":[23],"in":[24],"finite":[25],"steps.":[26],"The":[27],"inner":[28],"subproblem":[29],"is":[30,38,71],"solved":[31],"analytically":[32],"and":[33,66],"thus":[34],"no":[35],"solver":[37],"called.":[39],"Preliminary":[40],"results":[41],"G-set":[43],"demonstrate":[44],"the":[45,49,52,58,67],"performance.":[46],"In":[47],"particular,":[48],"ratio":[50],"between":[51],"best":[53,68],"cut":[54],"values":[55],"achieved":[56],"by":[57],"without":[61],"any":[62],"breakout":[64],"techniques":[65],"known":[69],"ones":[70],"of":[72],"at":[73],"least":[74],"$0.986$.":[75]},"counts_by_year":[{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1}],"updated_date":"2026-11-03T10:50:19.383937","created_date":"2018-03-29T00:00:00"}