{"id":"https://openalex.org/W2088180270","doi":"https://doi.org/10.1137/s0097539798338163","title":"An Approximation Algorithm for Feedback Vertex Sets in Tournaments","display_name":"An Approximation Algorithm for Feedback Vertex Sets in Tournaments","publication_year":2001,"publication_date":"2001-01-01","ids":{"openalex":"https://openalex.org/W2088180270","doi":"https://doi.org/10.1137/s0097539798338163","mag":"2088180270"},"language":"en","primary_location":{"id":"doi:10.1137/s0097539798338163","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0097539798338163","pdf_url":null,"source":{"id":"https://openalex.org/S153560523","display_name":"SIAM Journal on Computing","issn_l":"0097-5397","issn":["0097-5397","1095-7111"],"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":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Computing","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/A5102140498","display_name":"Mao-cheng Cai","orcid":null},"institutions":[{"id":"https://openalex.org/I4210120485","display_name":"Academy of Mathematics and Systems Science","ror":"https://ror.org/02jkmyk67","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210120485"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Mao-cheng Cai","raw_affiliation_strings":["Institute of Systems Science, Academia Sinica, Beijing 100080, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"Institute of Systems Science, Academia Sinica, Beijing 100080, People's Republic of China","institution_ids":["https://openalex.org/I4210120485"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100638710","display_name":"Xiaotie Deng","orcid":"https://orcid.org/0000-0002-5282-6467"},"institutions":[{"id":"https://openalex.org/I168719708","display_name":"City University of Hong Kong","ror":"https://ror.org/03q8dnn23","country_code":"HK","type":"education","lineage":["https://openalex.org/I168719708"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Xiaotie Deng","raw_affiliation_strings":["Department of Computer Science, City University of Hong Kong, Hong Kong, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, City University of Hong Kong, Hong Kong, People's Republic of China","institution_ids":["https://openalex.org/I168719708"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5065410958","display_name":"Wenan Zang","orcid":"https://orcid.org/0000-0001-6729-1760"},"institutions":[{"id":"https://openalex.org/I889458895","display_name":"University of Hong Kong","ror":"https://ror.org/02zhqgq86","country_code":"HK","type":"education","lineage":["https://openalex.org/I889458895"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Wenan Zang","raw_affiliation_strings":["Department of Mathematics, University of Hong Kong, Hong Kong, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Hong Kong, Hong Kong, People's Republic of China","institution_ids":["https://openalex.org/I889458895"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5102140498"],"corresponding_institution_ids":["https://openalex.org/I4210120485"],"apc_list":null,"apc_paid":null,"fwci":3.1385,"has_fulltext":false,"cited_by_count":65,"citation_normalized_percentile":{"value":0.91619329,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"30","issue":"6","first_page":"1993","last_page":"2007"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9997000098228455,"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":0.9997000098228455,"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":0.9995999932289124,"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/T10142","display_name":"Formal Methods in Verification","score":0.9975000023841858,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/tournament","display_name":"Tournament","score":0.7697882652282715},{"id":"https://openalex.org/keywords/feedback-vertex-set","display_name":"Feedback vertex set","score":0.7373712062835693},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.7333768606185913},{"id":"https://openalex.org/keywords/feedback-arc-set","display_name":"Feedback arc set","score":0.6780380010604858},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6550908088684082},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6215527653694153},{"id":"https://openalex.org/keywords/approximation-algorithm","display_name":"Approximation algorithm","score":0.5921542048454285},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.5120120644569397},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4968409836292267},{"id":"https://openalex.org/keywords/vertex-cover","display_name":"Vertex cover","score":0.48656928539276123},{"id":"https://openalex.org/keywords/packing-problems","display_name":"Packing problems","score":0.42522549629211426},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.41625916957855225},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3819118142127991},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.32010209560394287},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.19593584537506104},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.19143763184547424},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.06248205900192261}],"concepts":[{"id":"https://openalex.org/C136975688","wikidata":"https://www.wikidata.org/wiki/Q1320634","display_name":"Tournament","level":2,"score":0.7697882652282715},{"id":"https://openalex.org/C28723256","wikidata":"https://www.wikidata.org/wiki/Q1400918","display_name":"Feedback vertex set","level":4,"score":0.7373712062835693},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.7333768606185913},{"id":"https://openalex.org/C157951044","wikidata":"https://www.wikidata.org/wiki/Q1400910","display_name":"Feedback arc set","level":5,"score":0.6780380010604858},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6550908088684082},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6215527653694153},{"id":"https://openalex.org/C148764684","wikidata":"https://www.wikidata.org/wiki/Q621751","display_name":"Approximation algorithm","level":2,"score":0.5921542048454285},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.5120120644569397},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4968409836292267},{"id":"https://openalex.org/C40687702","wikidata":"https://www.wikidata.org/wiki/Q11515519","display_name":"Vertex cover","level":3,"score":0.48656928539276123},{"id":"https://openalex.org/C130253271","wikidata":"https://www.wikidata.org/wiki/Q3851477","display_name":"Packing problems","level":2,"score":0.42522549629211426},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.41625916957855225},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3819118142127991},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.32010209560394287},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.19593584537506104},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.19143763184547424},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.06248205900192261},{"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/C22149727","wikidata":"https://www.wikidata.org/wiki/Q7940747","display_name":"Voltage graph","level":4,"score":0.0},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/s0097539798338163","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0097539798338163","pdf_url":null,"source":{"id":"https://openalex.org/S153560523","display_name":"SIAM Journal on Computing","issn_l":"0097-5397","issn":["0097-5397","1095-7111"],"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":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Computing","raw_type":"journal-article"},{"id":"pmh:oai:hub.hku.hk:10722/42995","is_oa":false,"landing_page_url":"http://hdl.handle.net/10722/42995","pdf_url":null,"source":{"id":"https://openalex.org/S4377196271","display_name":"The HKU Scholars Hub (University of Hong Kong)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I889458895","host_organization_name":"University of Hong Kong","host_organization_lineage":["https://openalex.org/I889458895"],"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":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W168093571","https://openalex.org/W1542244620","https://openalex.org/W1572977974","https://openalex.org/W1604158939","https://openalex.org/W1899396382","https://openalex.org/W1963547452","https://openalex.org/W1969037852","https://openalex.org/W2038225707","https://openalex.org/W2040831377","https://openalex.org/W2041605864","https://openalex.org/W2070745908","https://openalex.org/W2087226760","https://openalex.org/W2091757422","https://openalex.org/W2179980496","https://openalex.org/W4244206605"],"related_works":["https://openalex.org/W2892180138","https://openalex.org/W4289541639","https://openalex.org/W2997601075","https://openalex.org/W3156092210","https://openalex.org/W1997576329","https://openalex.org/W3003449463","https://openalex.org/W2962933009","https://openalex.org/W3067339173","https://openalex.org/W2088180270","https://openalex.org/W1899396382"],"abstract_inverted_index":{"We":[0],"obtain":[1],"a":[2,62],"necessary":[3],"and":[4,21,37,54],"sufficient":[5],"condition":[6],"in":[7,42,73],"terms":[8],"of":[9,45,52],"forbidden":[10,58],"structures":[11],"for":[12,31,67],"tournaments":[13],"to":[14,56],"possess":[15],"the":[16,32,38,48,57,68],"min-max":[17],"relation":[18],"on":[19],"packing":[20,40],"covering":[22],"directed":[23],"cycles,":[24],"together":[25],"with":[26],"strongly":[27],"polynomial":[28,64],"time":[29,65],"algorithms":[30],"feedback":[33,69],"vertex":[34,70],"set":[35,71],"problem":[36,41,72],"cycle":[39],"this":[43],"class":[44],"tournaments.":[46],"Applying":[47],"local":[49],"ratio":[50],"technique":[51],"Bar-Yehuda":[53],"Even":[55],"structures,":[59],"we":[60],"find":[61],"2.5-approximation":[63],"algorithm":[66],"any":[74],"tournament.":[75]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":7},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":6},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2016-06-24T00:00:00"}
