{"id":"https://openalex.org/W2997515599","doi":"https://doi.org/10.1145/3336191.3371777","title":"Nearly Linear Time Algorithm for Mean Hitting Times of Random Walks on a Graph","display_name":"Nearly Linear Time Algorithm for Mean Hitting Times of Random Walks on a Graph","publication_year":2020,"publication_date":"2020-01-20","ids":{"openalex":"https://openalex.org/W2997515599","doi":"https://doi.org/10.1145/3336191.3371777","mag":"2997515599"},"language":"en","primary_location":{"id":"doi:10.1145/3336191.3371777","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3336191.3371777","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 13th International Conference on Web Search and Data Mining","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/A5088040716","display_name":"Zuobai Zhang","orcid":"https://orcid.org/0000-0002-9773-0696"},"institutions":[{"id":"https://openalex.org/I24943067","display_name":"Fudan University","ror":"https://ror.org/013q1eq08","country_code":"CN","type":"education","lineage":["https://openalex.org/I24943067"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Zuobai Zhang","raw_affiliation_strings":["Fudan University, Shanghai, China"],"affiliations":[{"raw_affiliation_string":"Fudan University, Shanghai, China","institution_ids":["https://openalex.org/I24943067"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101604234","display_name":"Wanyue Xu","orcid":"https://orcid.org/0000-0003-4372-6031"},"institutions":[{"id":"https://openalex.org/I24943067","display_name":"Fudan University","ror":"https://ror.org/013q1eq08","country_code":"CN","type":"education","lineage":["https://openalex.org/I24943067"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wanyue Xu","raw_affiliation_strings":["Fudan University, Shanghai, China"],"affiliations":[{"raw_affiliation_string":"Fudan University, Shanghai, China","institution_ids":["https://openalex.org/I24943067"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5067533846","display_name":"Zhongzhi Zhang","orcid":"https://orcid.org/0000-0003-1260-2079"},"institutions":[{"id":"https://openalex.org/I24943067","display_name":"Fudan University","ror":"https://ror.org/013q1eq08","country_code":"CN","type":"education","lineage":["https://openalex.org/I24943067"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhongzhi Zhang","raw_affiliation_strings":["Fudan University, Shanghai, China"],"affiliations":[{"raw_affiliation_string":"Fudan University, Shanghai, China","institution_ids":["https://openalex.org/I24943067"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5088040716"],"corresponding_institution_ids":["https://openalex.org/I24943067"],"apc_list":null,"apc_paid":null,"fwci":0.3983,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.55851472,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"726","last_page":"734"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10064","display_name":"Complex Network Analysis Techniques","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10064","display_name":"Complex Network Analysis Techniques","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12536","display_name":"Topological and Geometric Data Analysis","score":0.9977999925613403,"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/T11152","display_name":"Stochastic processes and statistical mechanics","score":0.9965999722480774,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/hitting-time","display_name":"Hitting time","score":0.7406463623046875},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.722664475440979},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.5975560545921326},{"id":"https://openalex.org/keywords/random-walk","display_name":"Random walk","score":0.5872225165367126},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5799241662025452},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5733593106269836},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.5047916173934937},{"id":"https://openalex.org/keywords/neighbourhood","display_name":"Neighbourhood (mathematics)","score":0.48227575421333313},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.44074100255966187},{"id":"https://openalex.org/keywords/laplace-operator","display_name":"Laplace operator","score":0.4269736409187317},{"id":"https://openalex.org/keywords/stationary-distribution","display_name":"Stationary distribution","score":0.4189455509185791},{"id":"https://openalex.org/keywords/approximation-algorithm","display_name":"Approximation algorithm","score":0.41368186473846436},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3937276005744934},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.36116936802864075},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.0891968309879303}],"concepts":[{"id":"https://openalex.org/C199277547","wikidata":"https://www.wikidata.org/wiki/Q5872687","display_name":"Hitting time","level":2,"score":0.7406463623046875},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.722664475440979},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.5975560545921326},{"id":"https://openalex.org/C121194460","wikidata":"https://www.wikidata.org/wiki/Q856741","display_name":"Random walk","level":2,"score":0.5872225165367126},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5799241662025452},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5733593106269836},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.5047916173934937},{"id":"https://openalex.org/C161677786","wikidata":"https://www.wikidata.org/wiki/Q2478475","display_name":"Neighbourhood (mathematics)","level":2,"score":0.48227575421333313},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.44074100255966187},{"id":"https://openalex.org/C165700671","wikidata":"https://www.wikidata.org/wiki/Q203484","display_name":"Laplace operator","level":2,"score":0.4269736409187317},{"id":"https://openalex.org/C98951983","wikidata":"https://www.wikidata.org/wiki/Q7604341","display_name":"Stationary distribution","level":3,"score":0.4189455509185791},{"id":"https://openalex.org/C148764684","wikidata":"https://www.wikidata.org/wiki/Q621751","display_name":"Approximation algorithm","level":2,"score":0.41368186473846436},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3937276005744934},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.36116936802864075},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0891968309879303},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.0},{"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/3336191.3371777","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3336191.3371777","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 13th International Conference on Web Search and Data Mining","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":37,"referenced_works":["https://openalex.org/W131619556","https://openalex.org/W944118684","https://openalex.org/W1907790026","https://openalex.org/W1978558026","https://openalex.org/W1986269714","https://openalex.org/W1987717935","https://openalex.org/W1988434354","https://openalex.org/W1999028753","https://openalex.org/W2002746382","https://openalex.org/W2008209917","https://openalex.org/W2026806328","https://openalex.org/W2028836627","https://openalex.org/W2032212734","https://openalex.org/W2044869769","https://openalex.org/W2045107949","https://openalex.org/W2053171205","https://openalex.org/W2055576996","https://openalex.org/W2058706632","https://openalex.org/W2058819446","https://openalex.org/W2070448527","https://openalex.org/W2096836727","https://openalex.org/W2102560346","https://openalex.org/W2125637308","https://openalex.org/W2148606196","https://openalex.org/W2149055390","https://openalex.org/W2153190022","https://openalex.org/W2154897810","https://openalex.org/W2161984370","https://openalex.org/W2471517265","https://openalex.org/W2576152334","https://openalex.org/W2888497928","https://openalex.org/W2963302977","https://openalex.org/W2963324223","https://openalex.org/W2963984324","https://openalex.org/W2963993568","https://openalex.org/W2964218327","https://openalex.org/W4247782380"],"related_works":["https://openalex.org/W2659078517","https://openalex.org/W2552837312","https://openalex.org/W2270938636","https://openalex.org/W4287163214","https://openalex.org/W4283794694","https://openalex.org/W3171278913","https://openalex.org/W2888799838","https://openalex.org/W2950637388","https://openalex.org/W2955412227","https://openalex.org/W2164611737"],"abstract_inverted_index":{"For":[0],"random":[1],"walks":[2],"on":[3,127,161],"a":[4,12,29,47,51,65,95],"graph,":[5],"the":[6,17,21,37,42,58,98,121,152,168,173],"mean":[7,43],"hitting":[8,44],"time":[9,45,148],"$H_j$":[10,106,139],"from":[11,16,46],"vertex":[13,23,34,48,52],"i":[14,49],"chosen":[15],"stationary":[18,59],"distribution":[19],"to":[20,50,57,151],"target":[22],"j":[24,53],"can":[25],"be":[26],"used":[27],"as":[28],"measure":[30],"of":[31,68,87,105,117,120,138,172],"importance":[32],"for":[33,82,107,123,140],"j,":[35],"while":[36],"Kemeny":[38],"constant":[39],"K":[40,102,144],"is":[41],"selected":[54],"randomly":[55],"according":[56],"distribution.":[60],"Both":[61],"quantities":[62,114],"have":[63],"found":[64],"large":[66,83],"variety":[67],"applications":[69],"in":[70,103,115,145],"different":[71],"areas.":[72],"However,":[73],"their":[74,79],"high":[75,156],"computational":[76],"complexity":[77],"limits":[78],"applications,":[80],"especially":[81],"networks":[84,165],"with":[85,149,155],"millions":[86],"vertices.":[88,109],"In":[89],"this":[90],"paper,":[91],"we":[92,129],"first":[93],"establish":[94],"connection":[96],"between":[97],"two":[99],"quantities,":[100],"representing":[101],"terms":[104,116],"all":[108,141],"We":[110],"then":[111],"express":[112],"both":[113,167],"quadratic":[118],"forms":[119],"pseudoinverse":[122],"graph":[124],"Laplacian,":[125],"based":[126],"which":[128],"develop":[130],"an":[131,136],"efficient":[132],"algorithm":[133],"that":[134],"provides":[135],"approximation":[137],"vertices":[142],"and":[143,163,170],"nearly":[146],"linear":[147],"respect":[150],"edge":[153],"number,":[154],"probability.":[157],"Extensive":[158],"experiment":[159],"results":[160],"real-life":[162],"model":[164],"validate":[166],"efficiency":[169],"accuracy":[171],"proposed":[174],"algorithm.":[175]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}