{"id":"https://openalex.org/W314024208","doi":"https://doi.org/10.1002/1098-2418(200007)16:4<314::aid-rsa2>3.0.co;2-e","title":"Polynomial time approximation of dense weighted instances of MAX-CUT","display_name":"Polynomial time approximation of dense weighted instances of MAX-CUT","publication_year":2000,"publication_date":"2000-01-01","ids":{"openalex":"https://openalex.org/W314024208","doi":"https://doi.org/10.1002/1098-2418(200007)16:4<314::aid-rsa2>3.0.co;2-e","mag":"314024208"},"language":"en","primary_location":{"id":"doi:10.1002/1098-2418(200007)16:4<314::aid-rsa2>3.0.co;2-e","is_oa":false,"landing_page_url":"https://doi.org/10.1002/1098-2418(200007)16:4<314::aid-rsa2>3.0.co;2-e","pdf_url":null,"source":{"id":"https://openalex.org/S59667848","display_name":"Random Structures and Algorithms","issn_l":"1042-9832","issn":["1042-9832","1098-2418"],"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":"Random Structures and Algorithms","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/A5111734790","display_name":"Wenceslas Fernandez de la Vega","orcid":null},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I204730241","display_name":"Universit\u00e9 Paris Cit\u00e9","ror":"https://ror.org/05f82e368","country_code":"FR","type":"education","lineage":["https://openalex.org/I204730241"]},{"id":"https://openalex.org/I4210144804","display_name":"Laboratoire de Recherche en Informatique","ror":"https://ror.org/04e3ktk27","country_code":"FR","type":"facility","lineage":["https://openalex.org/I102197404","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I4210144804","https://openalex.org/I4210159245"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"W. Fernandez de la Vega","raw_affiliation_strings":["Laboratoire de Recherche en Informatique, CNRS,Universite\u0301 de Paris-Sud, 91405 Orsay, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratoire de Recherche en Informatique, CNRS,Universite\u0301 de Paris-Sud, 91405 Orsay, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I204730241","https://openalex.org/I4210144804"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5108090276","display_name":"Marek Karpi\u0144ski","orcid":null},"institutions":[{"id":"https://openalex.org/I135140700","display_name":"University of Bonn","ror":"https://ror.org/041nas322","country_code":"DE","type":"education","lineage":["https://openalex.org/I135140700"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"M. Karpinski","raw_affiliation_strings":["Department of Computer Science, University of Bonn, 53117 Bonn, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Bonn, 53117 Bonn, Germany","institution_ids":["https://openalex.org/I135140700"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5111734790"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I204730241","https://openalex.org/I4210144804"],"apc_list":{"value":4330,"currency":"USD","value_usd":4330},"apc_paid":null,"fwci":0.5602,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.76441827,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"16","issue":"4","first_page":"314","last_page":"332"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9710000157356262,"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"}},"topics":[{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9710000157356262,"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"}},{"id":"https://openalex.org/T11034","display_name":"Digital Filter Design and Implementation","score":0.9692000150680542,"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/T11797","display_name":"graph theory and CDMA systems","score":0.9595999717712402,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6780956983566284},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.5143010020256042},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.49657517671585083},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.496053546667099},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.38169682025909424},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.14454638957977295}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6780956983566284},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5143010020256042},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.49657517671585083},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.496053546667099},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.38169682025909424},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.14454638957977295}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1002/1098-2418(200007)16:4<314::aid-rsa2>3.0.co;2-e","is_oa":false,"landing_page_url":"https://doi.org/10.1002/1098-2418(200007)16:4<314::aid-rsa2>3.0.co;2-e","pdf_url":null,"source":{"id":"https://openalex.org/S59667848","display_name":"Random Structures and Algorithms","issn_l":"1042-9832","issn":["1042-9832","1098-2418"],"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":"Random Structures and Algorithms","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.41.4333","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.41.4333","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://theory.cs.uni-bonn.de/~marek/publications/polytime.ps.Z","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.47.4067","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.47.4067","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ftp://ftp.icsi.berkeley.edu/pub/techreports/1997/tr-97-059.ps.gz","raw_type":"text"},{"id":"mag:314024208","is_oa":false,"landing_page_url":"https://dblp.uni-trier.de/db/journals/eccc/eccc5.html#ECCC-TR98-064","pdf_url":null,"source":{"id":"https://openalex.org/S11189987","display_name":"Electronic colloquium on computational complexity","issn_l":"1433-8092","issn":["1433-8092"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":"Electronic colloquium on computational complexity","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":5,"referenced_works":["https://openalex.org/W1972853793","https://openalex.org/W2038225707","https://openalex.org/W2072858942","https://openalex.org/W2109694798","https://openalex.org/W4233413206"],"related_works":["https://openalex.org/W2962705766","https://openalex.org/W2778127909","https://openalex.org/W1980036307","https://openalex.org/W2242594376","https://openalex.org/W3126995463","https://openalex.org/W2972889314","https://openalex.org/W1588356204","https://openalex.org/W2366951377","https://openalex.org/W1599005792","https://openalex.org/W2471680335","https://openalex.org/W2996801447","https://openalex.org/W1506627918","https://openalex.org/W1594312128","https://openalex.org/W2100048208","https://openalex.org/W1968988491","https://openalex.org/W1988547891","https://openalex.org/W1532118422","https://openalex.org/W1868947940","https://openalex.org/W2108967854","https://openalex.org/W3101250927"],"abstract_inverted_index":{"We":[0],"give":[1],"the":[2,30],"first":[3,31],"polynomial":[4],"time":[5],"approximability":[6],"characterization":[7,34],"of":[8,11,22,35,37,45],"denseweighted":[9],"instances":[10,42],"MAX-CUT,":[12],"and":[13],"some":[14],"other":[15],"dense":[16],"weighted":[17],"\ud835\udca9\ud835\udcab-hard":[18],"problems":[19],"in":[20,43],"terms":[21,44],"their":[23,46],"empirical":[24],"weight":[25],"distributions.":[26],"This":[27],"also":[28],"gives":[29],"almost":[32],"sharp":[33],"inapproximability":[36],"unweighted":[38],"0,":[39],"1":[40],"MAX-BISECTION":[41],"density":[47],"parameter.":[48],"\u00a9":[49],"2000":[50,61],"John":[51],"Wiley":[52],"&":[53],"Sons,":[54],"Inc.":[55],"Random":[56],"Struct.":[57],"Alg.,":[58],"16:":[59],"314\u2013332,":[60]},"counts_by_year":[],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2025-10-10T00:00:00"}