{"id":"https://openalex.org/W4376639585","doi":"https://doi.org/10.1145/3564246.3585223","title":"Tight Conditional Lower Bounds for Vertex Connectivity Problems","display_name":"Tight Conditional Lower Bounds for Vertex Connectivity Problems","publication_year":2023,"publication_date":"2023-05-16","ids":{"openalex":"https://openalex.org/W4376639585","doi":"https://doi.org/10.1145/3564246.3585223"},"language":"en","primary_location":{"id":"doi:10.1145/3564246.3585223","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3564246.3585223","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 55th Annual ACM Symposium on Theory of Computing","raw_type":"proceedings-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/A5102017289","display_name":"Zhiyi Huang","orcid":"https://orcid.org/0000-0003-3539-9085"},"institutions":[{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Zhiyi Huang","raw_affiliation_strings":["Tsinghua University, China"],"affiliations":[{"raw_affiliation_string":"Tsinghua University, China","institution_ids":["https://openalex.org/I99065089"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5033703471","display_name":"Yaowei Long","orcid":null},"institutions":[{"id":"https://openalex.org/I27837315","display_name":"University of Michigan\u2013Ann Arbor","ror":"https://ror.org/00jmfr291","country_code":"US","type":"education","lineage":["https://openalex.org/I27837315"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Yaowei Long","raw_affiliation_strings":["University of Michigan, USA"],"affiliations":[{"raw_affiliation_string":"University of Michigan, USA","institution_ids":["https://openalex.org/I27837315"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5010547647","display_name":"Thatchaphol Saranurak","orcid":"https://orcid.org/0000-0001-8386-7168"},"institutions":[{"id":"https://openalex.org/I27837315","display_name":"University of Michigan\u2013Ann Arbor","ror":"https://ror.org/00jmfr291","country_code":"US","type":"education","lineage":["https://openalex.org/I27837315"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Thatchaphol Saranurak","raw_affiliation_strings":["University of Michigan, USA"],"affiliations":[{"raw_affiliation_string":"University of Michigan, USA","institution_ids":["https://openalex.org/I27837315"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5014995297","display_name":"Benyu Wang","orcid":null},"institutions":[{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Benyu Wang","raw_affiliation_strings":["Tsinghua University, China"],"affiliations":[{"raw_affiliation_string":"Tsinghua University, China","institution_ids":["https://openalex.org/I99065089"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5102017289"],"corresponding_institution_ids":["https://openalex.org/I99065089"],"apc_list":null,"apc_paid":null,"fwci":0.7865,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.7492035,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"1384","last_page":"1395"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9994000196456909,"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/T10829","display_name":"Interconnection Networks and Systems","score":0.996399998664856,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.6519709825515747},{"id":"https://openalex.org/keywords/sink","display_name":"Sink (geography)","score":0.5961259603500366},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.5262726545333862},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5140179395675659},{"id":"https://openalex.org/keywords/undirected-graph","display_name":"Undirected graph","score":0.4927375614643097},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.442828506231308},{"id":"https://openalex.org/keywords/vertex-connectivity","display_name":"Vertex connectivity","score":0.4361996054649353},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.41295549273490906},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4113260805606842},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.35970038175582886},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.34322047233581543},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.2901351749897003}],"concepts":[{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.6519709825515747},{"id":"https://openalex.org/C143050476","wikidata":"https://www.wikidata.org/wiki/Q194502","display_name":"Sink (geography)","level":2,"score":0.5961259603500366},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.5262726545333862},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5140179395675659},{"id":"https://openalex.org/C3018234147","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Undirected graph","level":3,"score":0.4927375614643097},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.442828506231308},{"id":"https://openalex.org/C2983226441","wikidata":"https://www.wikidata.org/wiki/Q3115621","display_name":"Vertex connectivity","level":4,"score":0.4361996054649353},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.41295549273490906},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4113260805606842},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.35970038175582886},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.34322047233581543},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.2901351749897003},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.0},{"id":"https://openalex.org/C58640448","wikidata":"https://www.wikidata.org/wiki/Q42515","display_name":"Cartography","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/3564246.3585223","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3564246.3585223","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 55th Annual ACM Symposium on Theory of Computing","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1171700966","display_name":null,"funder_award_id":"NSF CAREER","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G2213600020","display_name":null,"funder_award_id":"2238138","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G6671297155","display_name":null,"funder_award_id":"CAREER","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":33,"referenced_works":["https://openalex.org/W1964510837","https://openalex.org/W1972631197","https://openalex.org/W2008343880","https://openalex.org/W2016124646","https://openalex.org/W2055314845","https://openalex.org/W2099463627","https://openalex.org/W2106759055","https://openalex.org/W2115049345","https://openalex.org/W2132877659","https://openalex.org/W2153441719","https://openalex.org/W2155978818","https://openalex.org/W2276245879","https://openalex.org/W2278710066","https://openalex.org/W2547063853","https://openalex.org/W2892948282","https://openalex.org/W2963751092","https://openalex.org/W3000811701","https://openalex.org/W3129188913","https://openalex.org/W3129191225","https://openalex.org/W3166491318","https://openalex.org/W3166848088","https://openalex.org/W3170529680","https://openalex.org/W3170659189","https://openalex.org/W4211178172","https://openalex.org/W4213060883","https://openalex.org/W4214951419","https://openalex.org/W4225858648","https://openalex.org/W4235156957","https://openalex.org/W4243936346","https://openalex.org/W4313203312","https://openalex.org/W4313227178","https://openalex.org/W4313227804","https://openalex.org/W4401657621"],"related_works":["https://openalex.org/W1980648360","https://openalex.org/W2023302035","https://openalex.org/W2339534957","https://openalex.org/W2988282395","https://openalex.org/W341486533","https://openalex.org/W2557579792","https://openalex.org/W2353691047","https://openalex.org/W1447961680","https://openalex.org/W4313216298","https://openalex.org/W2090952304"],"abstract_inverted_index":{"We":[0],"study":[1],"the":[2,37,43,54,72,83],"fine-grained":[3],"complexity":[4,38],"of":[5,19,39,74,78],"graph":[6],"connectivity":[7,21,49,64,80],"problems":[8,41,81],"in":[9,33,68],"unweighted":[10],"undirected":[11],"graphs.":[12],"Recent":[13],"development":[14],"shows":[15],"that":[16,58],"all":[17,76],"variants":[18,77],"edge":[20],"problems,":[22],"including":[23],"single-source-single-sink,":[24],"global,":[25],"Steiner,":[26],"single-source,":[27],"and":[28,61],"all-pairs":[29],"connectivity,":[30],"are":[31],"solvable":[32],"m1+o(1)":[34,69],"time,":[35,70],"collapsing":[36],"these":[40],"into":[42,82],"almost-linear-time":[44,84],"regime.":[45],"While,":[46],"historically,":[47],"vertex":[48,63,79],"has":[50],"been":[51],"much":[52],"harder,":[53],"recent":[55],"results":[56],"showed":[57],"both":[59],"single-source-single-sink":[60],"global":[62],"can":[65],"be":[66],"solved":[67],"raising":[71],"hope":[73],"putting":[75],"regime":[85],"too.":[86]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}