{"id":"https://openalex.org/W4316652288","doi":"https://doi.org/10.1137/1.9781611977554.ch8","title":"Maximal k-Edge-Connected Subgraphs in Weighted Graphs via Local Random Contraction","display_name":"Maximal k-Edge-Connected Subgraphs in Weighted Graphs via Local Random Contraction","publication_year":2023,"publication_date":"2023-01-01","ids":{"openalex":"https://openalex.org/W4316652288","doi":"https://doi.org/10.1137/1.9781611977554.ch8"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.1137/1.9781611977554.ch8","pdf_url":null,"source":{"id":"https://openalex.org/S4306463922","display_name":"Society for Industrial and Applied Mathematics eBooks","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"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":"ebook platform"},"license":null,"version":null,"is_accepted":false,"is_published":false},"type":"book-chapter","type_crossref":"book-chapter","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2302.02290","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5071535262","display_name":"Chaitanya Nalam","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Chaitanya Nalam","raw_affiliation_string":"","raw_affiliation_strings":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5010547647","display_name":"Thatchaphol Saranurak","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Thatchaphol Saranurak","raw_affiliation_string":"","raw_affiliation_strings":[]}],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"has_fulltext":false,"cited_by_count":0,"cited_by_percentile_year":{"min":0,"max":82},"biblio":{"volume":null,"issue":null,"first_page":"183","last_page":"211"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T10720","display_name":"Combinatorial Optimization and Complexity Theory","score":0.9896,"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":"Combinatorial Optimization and Complexity Theory","score":0.9896,"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/T11478","display_name":"Content-Centric Networking for Information Delivery","score":0.9872,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T11342","display_name":"Synthesis and Applications of Carbon Quantum Dots","score":0.9662,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"keyword":"weighted subgraphs","score":0.5696},{"keyword":"contraction","score":0.2598},{"keyword":"edge-connected","score":0.25}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7487999},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6351789},{"id":"https://openalex.org/C3018234147","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Undirected graph","level":3,"score":0.63027453},{"id":"https://openalex.org/C3017489831","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Running time","level":2,"score":0.5743311},{"id":"https://openalex.org/C185690422","wikidata":"https://www.wikidata.org/wiki/Q6865438","display_name":"Minimum cut","level":2,"score":0.49969172},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.49117061},{"id":"https://openalex.org/C162307627","wikidata":"https://www.wikidata.org/wiki/Q204833","display_name":"Enhanced Data Rates for GSM Evolution","level":2,"score":0.46786097},{"id":"https://openalex.org/C165526019","wikidata":"https://www.wikidata.org/wiki/Q942557","display_name":"Maximum cut","level":3,"score":0.4638512},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4402789},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.42504114},{"id":"https://openalex.org/C47458327","wikidata":"https://www.wikidata.org/wiki/Q910404","display_name":"Random graph","level":3,"score":0.42100382},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.38276583},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.22513667},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"is_oa":false,"landing_page_url":"https://doi.org/10.1137/1.9781611977554.ch8","pdf_url":null,"source":{"id":"https://openalex.org/S4306463922","display_name":"Society for Industrial and Applied Mathematics eBooks","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"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":"ebook platform"},"license":null,"version":null,"is_accepted":false,"is_published":false},{"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2302.02290","pdf_url":"https://arxiv.org/pdf/2302.02290","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":["Cornell University"],"type":"repository"},"license":null,"version":"submittedVersion","is_accepted":false,"is_published":false}],"best_oa_location":{"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2302.02290","pdf_url":"https://arxiv.org/pdf/2302.02290","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":["Cornell University"],"type":"repository"},"license":null,"version":"submittedVersion","is_accepted":false,"is_published":false},"sustainable_development_goals":[],"grants":[],"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2885987986","https://openalex.org/W1490943871","https://openalex.org/W1974139762","https://openalex.org/W2115772827","https://openalex.org/W2068595367","https://openalex.org/W115807216","https://openalex.org/W4235911878","https://openalex.org/W3210180238","https://openalex.org/W4246688532","https://openalex.org/W4289685524"],"ngrams_url":"https://api.openalex.org/works/W4316652288/ngrams","abstract_inverted_index":{"The":[0],"maximal":[1,93],"k-edge-connected":[2,94],"subgraphs":[3,95],"problem":[4,10,21],"is":[5,25,52,56,128],"a":[6,27,46,92],"classical":[7],"graph":[8,51],"clustering":[9],"studied":[11],"since":[12],"the":[13,37,50,74,80,113,122,129,144,158,162],"70's.":[14],"Surprisingly,":[15],"no":[16],"non-trivial":[17],"technique":[18,127],"for":[19],"this":[20],"in":[22,84,118,121,169],"weighted":[23,85,170],"graphs":[24,120,171],"known:":[26],"very":[28],"straightforward":[29],"recursive-min-cut":[30],"algorithm":[31,39,76,96,133],"with":[32,134],"\u03a9(mn)":[33],"time":[34,140,155],"has":[35],"remained":[36],"fastest":[38],"until":[40],"now.":[41],"All":[42,147],"previous":[43,148],"progress":[44],"gives":[45],"speed-up":[47],"only":[48,99,142],"when":[49],"unweighted,":[53],"and":[54,68],"k":[55],"small":[57],"enough":[58],"(e.g.":[59],"Henzinger":[60],"et":[61,65,70],"al.":[62,66,71],"(ICALP'15),":[63],"Chechik":[64],"(SODA'17),":[67],"Forster":[69],"(SODA'20)).We":[72],"give":[73],"first":[75,130],"that":[77,97],"breaks":[78],"through":[79],"long-standing":[81],"\u00d5(mn)-time":[82],"barrier":[83],"undirected":[86,119],"graphs.":[87],"More":[88],"specifically,":[89],"we":[90,108],"show":[91],"takes":[98],"\u00d5(m":[100],"\u00b7":[101],"min{m3/4,n4/5})":[102],"time.":[103],"As":[104],"an":[105],"immediate":[106],"application,":[107],"can":[109,165],"(1":[110],"+":[111],"\u03b5)-approximate":[112],"strength":[114],"of":[115,161],"all":[116],"edges":[117],"same":[123],"running":[124,139,154],"time.Our":[125],"key":[126],"local":[131,149],"cut":[132,150,159,175],"exact":[135],"cut-value":[136],"guarantees":[137],"whose":[138],"depends":[141],"on":[143,157],"output":[145],"size.":[146],"algorithms":[151],"either":[152],"have":[153,173],"depending":[156],"value":[160],"output,":[163],"which":[164],"be":[166],"arbitrarily":[167],"slow":[168],"or":[172],"approximate":[174],"guarantees.":[176]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W4316652288","counts_by_year":[],"updated_date":"2024-03-21T12:03:43.599015","created_date":"2023-01-17"}