{"id":"https://openalex.org/W1263026946","doi":"https://doi.org/10.1137/s0895480195291874","title":"Approximating Minimum Subset Feedback Sets in Undirected Graphs with Applications","display_name":"Approximating Minimum Subset Feedback Sets in Undirected Graphs with Applications","publication_year":2000,"publication_date":"2000-01-01","ids":{"openalex":"https://openalex.org/W1263026946","doi":"https://doi.org/10.1137/s0895480195291874","mag":"1263026946"},"language":"en","primary_location":{"id":"doi:10.1137/s0895480195291874","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0895480195291874","pdf_url":null,"source":{"id":"https://openalex.org/S117679221","display_name":"SIAM Journal on Discrete Mathematics","issn_l":"0895-4801","issn":["0895-4801","1095-7146"],"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 Discrete Mathematics","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/A5064059676","display_name":"Guy Even","orcid":"https://orcid.org/0000-0001-5407-330X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Guy Even","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5025400832","display_name":"Joseph Naor","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Joseph (Seffi) Naor","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5089964489","display_name":"Baruch Schieber","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Baruch Schieber","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5051756164","display_name":"Leonid Zosin","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Leonid Zosin","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.3273,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.87173361,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"13","issue":"2","first_page":"255","last_page":"267"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.7024999856948853,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.7024999856948853,"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/combinatorics","display_name":"Combinatorics","score":0.6026073098182678},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.515317440032959},{"id":"https://openalex.org/keywords/undirected-graph","display_name":"Undirected graph","score":0.4410068690776825},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3874603509902954},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.37475496530532837},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.2726812958717346}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6026073098182678},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.515317440032959},{"id":"https://openalex.org/C3018234147","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Undirected graph","level":3,"score":0.4410068690776825},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3874603509902954},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.37475496530532837},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.2726812958717346}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/s0895480195291874","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0895480195291874","pdf_url":null,"source":{"id":"https://openalex.org/S117679221","display_name":"SIAM Journal on Discrete Mathematics","issn_l":"0895-4801","issn":["0895-4801","1095-7146"],"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 Discrete Mathematics","raw_type":"journal-article"},{"id":"mag:1263026946","is_oa":false,"landing_page_url":"https://dblp.uni-trier.de/db/conf/istcs/istcs1996.html#EvenNSZ96","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"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":13,"referenced_works":["https://openalex.org/W1527626087","https://openalex.org/W1990800802","https://openalex.org/W2015905456","https://openalex.org/W2024517697","https://openalex.org/W2040831377","https://openalex.org/W2044343300","https://openalex.org/W2070745908","https://openalex.org/W2081880478","https://openalex.org/W2091004914","https://openalex.org/W2134422938","https://openalex.org/W2135418519","https://openalex.org/W2152986618","https://openalex.org/W4244206605"],"related_works":["https://openalex.org/W1512015032","https://openalex.org/W2098361906","https://openalex.org/W2056452950","https://openalex.org/W2038225707","https://openalex.org/W2047501312","https://openalex.org/W2152986618","https://openalex.org/W2125278290","https://openalex.org/W2044343300","https://openalex.org/W2011039300","https://openalex.org/W1523006294","https://openalex.org/W1592641396","https://openalex.org/W158372591","https://openalex.org/W1579180406","https://openalex.org/W1969009246","https://openalex.org/W1593753809","https://openalex.org/W1518536587","https://openalex.org/W2052453197","https://openalex.org/W2371120025","https://openalex.org/W1875294378","https://openalex.org/W2242138698"],"abstract_inverted_index":{"Let":[0,23],"G=(V,E)":[1],"be":[2,27],"a":[3,28,51,80,99,116,137,158,213],"weighted":[4],"undirected":[5],"graph":[6],"where":[7,168,195],"all":[8,59],"weights":[9],"are":[10],"at":[11],"least":[12],"one.":[13],"We":[14,135,176],"consider":[15,178],"the":[16,31,41,54,67,105,111,122,131,143,162,171,179,198,201,207],"following":[17],"generalization":[18],"of":[19,30,53,74,82,98,119,154,200],"feedback":[20,46,65,124,145,164],"set":[21,42,49,118,147,166],"problems.":[22],"$S":[24],"\\subset":[25],"V$":[26],"subset":[29,45,52,64,123,144,163],"vertices.":[32],"A":[33,44],"cycle":[34],"is":[35,50,69,102,113,126,170,197],"called":[36],"interesting":[37,60],"if":[38],"it":[39],"intersects":[40,58],"S.":[43],"edge":[47,146],"(vertex)":[48],"edges":[55],"(vertices)":[56],"that":[57,149],"cycles.":[61],"In":[62],"minimum":[63,75],"problems":[66],"goal":[68,112],"to":[70,104,114,185],"find":[71],"such":[72],"sets":[73],"weight.":[76],"This":[77,156],"problem":[78,125,148,181],"has":[79],"variety":[81],"applications,":[83],"among":[84],"them":[85],"genetic":[86],"linkage":[87],"analysis":[88],"and":[89,128,182],"circuit":[90],"testing.":[91],"The":[92],"case":[93],"in":[94,109,174],"which":[95,110],"S":[96],"consists":[97],"single":[100],"vertex":[101,165],"equivalent":[103],"multiway":[106,132],"cut":[107,133],"problem,":[108,167,194],"separate":[115],"given":[117],"terminals.":[120],"Hence,":[121],"NP-complete":[127],"also":[129,177],"generalizes":[130],"problem.":[134],"provide":[136],"polynomial":[138],"time":[139],"algorithm":[140,160],"for":[141,161,192],"approximating":[142],"achieves":[150],"an":[151,187],"approximation":[152,190],"factor":[153,191,210],"two.":[155],"implies":[157],"$\\Delta$-approximation":[159],"$\\Delta$":[169],"maximum":[172],"degree":[173],"G.":[175],"multicut":[180],"show":[183],"how":[184],"achieve":[186,206],"$O(\\log":[188,208],"\\tau^*)$":[189,209],"this":[193],"$\\tau^*$":[196],"value":[199],"optimal":[202],"fractional":[203],"solution.":[204],"To":[205],"we":[211],"employ":[212],"bootstrapping":[214],"technique.":[215]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}