{"id":"https://openalex.org/W3157845808","doi":"https://doi.org/10.1145/3406325.3451071","title":"The metric relaxation for 0 -extension admits an \u03a9(log 2/3 k) gap","display_name":"The metric relaxation for 0 -extension admits an \u03a9(log 2/3 k) gap","publication_year":2021,"publication_date":"2021-06-15","ids":{"openalex":"https://openalex.org/W3157845808","doi":"https://doi.org/10.1145/3406325.3451071","mag":"3157845808"},"language":"en","primary_location":{"id":"doi:10.1145/3406325.3451071","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3406325.3451071","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 53rd Annual ACM SIGACT Symposium on Theory of Computing","raw_type":"proceedings-article"},"type":"conference-paper","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2104.11670","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5068494085","display_name":"Roy Schwartz","orcid":null},"institutions":[{"id":"https://openalex.org/I174306211","display_name":"Technion \u2013 Israel Institute of Technology","ror":"https://ror.org/03qryx823","country_code":"IL","type":"education","lineage":["https://openalex.org/I174306211"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Roy Schwartz","raw_affiliation_strings":["Technion, Israel"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Technion, Israel","institution_ids":["https://openalex.org/I174306211"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5083599175","display_name":"Nitzan Tur","orcid":null},"institutions":[{"id":"https://openalex.org/I174306211","display_name":"Technion \u2013 Israel Institute of Technology","ror":"https://ror.org/03qryx823","country_code":"IL","type":"education","lineage":["https://openalex.org/I174306211"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Nitzan Tur","raw_affiliation_strings":["Technion, Israel"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Technion, Israel","institution_ids":["https://openalex.org/I174306211"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I174306211"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.11290323,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1601","last_page":"1614"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11151","display_name":"Advanced Topology and Set Theory","score":0.9954000115394592,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11151","display_name":"Advanced Topology and Set Theory","score":0.9954000115394592,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/T11049","display_name":"Advanced Harmonic Analysis Research","score":0.9876000285148621,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9836999773979187,"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/extension","display_name":"Extension (predicate logic)","score":0.7533855438232422},{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.6045541763305664},{"id":"https://openalex.org/keywords/relaxation","display_name":"Relaxation (psychology)","score":0.47877514362335205},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.4485425651073456},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4399350881576538},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.43869173526763916},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3797963559627533},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.22709015011787415},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.05571463704109192}],"concepts":[{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.7533855438232422},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.6045541763305664},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.47877514362335205},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.4485425651073456},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4399350881576538},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.43869173526763916},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3797963559627533},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.22709015011787415},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.05571463704109192},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","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/C21547014","wikidata":"https://www.wikidata.org/wiki/Q1423657","display_name":"Operations management","level":1,"score":0.0},{"id":"https://openalex.org/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1145/3406325.3451071","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3406325.3451071","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 53rd Annual ACM SIGACT Symposium on Theory of Computing","raw_type":"proceedings-article"},{"id":"pmh:oai:arXiv.org:2104.11670","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2104.11670","pdf_url":"https://arxiv.org/pdf/2104.11670","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,"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":null,"raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2104.11670","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2104.11670","pdf_url":"https://arxiv.org/pdf/2104.11670","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,"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":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4230961166","display_name":null,"funder_award_id":"852870","funder_id":"https://openalex.org/F4320334678","funder_display_name":"European Research Council"},{"id":"https://openalex.org/G5696445244","display_name":null,"funder_award_id":"1336/16","funder_id":"https://openalex.org/F4320322252","funder_display_name":"Israel Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320322252","display_name":"Israel Science Foundation","ror":"https://ror.org/04sazxf24"},{"id":"https://openalex.org/F4320334678","display_name":"European Research Council","ror":"https://ror.org/0472cxd90"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":57,"referenced_works":["https://openalex.org/W180694554","https://openalex.org/W1637126265","https://openalex.org/W1949708275","https://openalex.org/W1964932748","https://openalex.org/W1966140358","https://openalex.org/W1981676508","https://openalex.org/W1985219023","https://openalex.org/W1996540180","https://openalex.org/W2008475686","https://openalex.org/W2010004564","https://openalex.org/W2012273627","https://openalex.org/W2022007056","https://openalex.org/W2038964811","https://openalex.org/W2041571997","https://openalex.org/W2048843200","https://openalex.org/W2050972259","https://openalex.org/W2055636480","https://openalex.org/W2060121592","https://openalex.org/W2061130579","https://openalex.org/W2062502830","https://openalex.org/W2065641139","https://openalex.org/W2073031580","https://openalex.org/W2075022748","https://openalex.org/W2082353536","https://openalex.org/W2096411231","https://openalex.org/W2106663623","https://openalex.org/W2114493937","https://openalex.org/W2119378898","https://openalex.org/W2130270608","https://openalex.org/W2137118456","https://openalex.org/W2142408004","https://openalex.org/W2152986618","https://openalex.org/W2155618818","https://openalex.org/W2156060048","https://openalex.org/W2156397150","https://openalex.org/W2159454021","https://openalex.org/W2167236203","https://openalex.org/W2557153431","https://openalex.org/W2570865945","https://openalex.org/W2883925562","https://openalex.org/W2950282402","https://openalex.org/W2950953939","https://openalex.org/W2977278450","https://openalex.org/W3002875349","https://openalex.org/W3009048356","https://openalex.org/W3009415557","https://openalex.org/W3030774092","https://openalex.org/W3035192619","https://openalex.org/W3098011928","https://openalex.org/W3121576764","https://openalex.org/W3127905537","https://openalex.org/W3172501025","https://openalex.org/W4233880474","https://openalex.org/W4235946010","https://openalex.org/W4242558744","https://openalex.org/W4243780282","https://openalex.org/W4377199972"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2075768550","https://openalex.org/W3022218857","https://openalex.org/W2369178846","https://openalex.org/W2370289839","https://openalex.org/W2082716031","https://openalex.org/W2933494595","https://openalex.org/W4313347705","https://openalex.org/W1568049691","https://openalex.org/W1590096425"],"abstract_inverted_index":{"We":[0],"consider":[1],"the":[2,50,56,59,63,68,72,75,109,120,131,149,157,189,200,205],"0-Extension":[3,79],"problem,":[4],"where":[5],"we":[6,140],"are":[7,77,99],"given":[8],"an":[9,142],"undirected":[10],"graph":[11,162],"G=(V,E)":[12],"equipped":[13],"with":[14],"non-negative":[15],"edge":[16,60,76],"weights":[17],"w:E\u2192":[18],"\u211d+,":[19],"a":[20,32,46,103,165,173],"collection":[21],"T={":[22],"t1,\u2026,tk}\u2286":[23],"V":[24],"of":[25,55,58,74,86,122,146,160,170,179,188],"k":[26],"special":[27,174],"vertices":[28],"called":[29,108],"terminals,":[30],"and":[31,91,176],"semi-metric":[33],"D":[34,66,114],"over":[35,52],"T.":[36],"The":[37,124],"goal":[38],"is":[39,115,134,154,192],"to":[40,45,70,119],"assign":[41],"every":[42],"non-terminal":[43],"vertex":[44],"terminal":[47],"while":[48],"minimizing":[49],"sum":[51],"all":[53],"edges":[54],"weight":[57],"multiplied":[61],"by":[62,163,183],"distance":[64],"in":[65,112,204],"between":[67],"terminals":[69],"which":[71,113],"endpoints":[73],"assigned.":[78],"admits":[80],"two":[81],"known":[82,97,127],"algorithms,":[83],"achieving":[84],"approximations":[85],"O(logk)":[87],"[C\u0103linescu-Karloff-Rabani":[88],"SICOMP":[89],"\u201905]":[90],"O(logk/loglogk)":[92],"[Fakcharoenphol-Harrelson-Rao-Talwar":[93],"SODA":[94],"\u201903].":[95],"Both":[96],"algorithms":[98],"based":[100,155,193],"on":[101,156,194],"rounding":[102],"natural":[104],"linear":[105],"programming":[106],"relaxation":[107,133],"metric":[110,132,150],"relaxation,":[111],"extended":[116],"from":[117],"T":[118],"entire":[121],"V.":[123],"current":[125],"best":[126],"integrality":[128,144],"gap":[129,145,190],"for":[130,148],"\u03a9":[135],"(\u221alogk).":[136],"In":[137],"this":[138],"work":[139],"present":[141],"improved":[143],"\u03a9(log2/3k)":[147],"relaxation.":[151],"Our":[152],"construction":[153],"randomized":[158,206],"extension":[159],"one":[161],"another,":[164],"notion":[166],"that":[167],"captures":[168],"lifts":[169],"graphs":[171],"as":[172],"case":[175],"might":[177],"be":[178],"independent":[180],"interest.":[181],"Inspired":[182],"algebraic":[184],"topology,":[185],"our":[186],"analysis":[187],"instance":[191],"proving":[195],"no":[196],"continuous":[197],"section":[198],"(in":[199],"topological":[201],"sense)":[202],"exists":[203],"extension.":[207]},"counts_by_year":[],"updated_date":"2026-08-26T07:47:46.906454","created_date":"2021-05-10T00:00:00"}