{"id":"https://openalex.org/W3030647867","doi":"https://doi.org/10.1080/15427951.2008.10129302","title":"Local Computation of PageRank Contributions","display_name":"Local Computation of PageRank Contributions","publication_year":2008,"publication_date":"2008-01-01","ids":{"openalex":"https://openalex.org/W3030647867","doi":"https://doi.org/10.1080/15427951.2008.10129302","mag":"3030647867"},"language":"en","primary_location":{"id":"doi:10.1080/15427951.2008.10129302","is_oa":true,"landing_page_url":"https://doi.org/10.1080/15427951.2008.10129302","pdf_url":"https://www.internetmathematicsjournal.com/article/1456.pdf","source":{"id":"https://openalex.org/S19474917","display_name":"Internet Mathematics","issn_l":"1542-7951","issn":["1542-7951","1944-9488"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Internet Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://www.internetmathematicsjournal.com/article/1456.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5007626895","display_name":"Reid Andersen","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Reid Andersen","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5007082382","display_name":"Christian Borgs","orcid":"https://orcid.org/0000-0001-5653-0498"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Christian Borgs","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5038662431","display_name":"Jennifer Chayes","orcid":"https://orcid.org/0000-0003-4020-8618"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Jennifer Chayes","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5043211393","display_name":"John E. Hopcroft","orcid":"https://orcid.org/0000-0001-8681-6075"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"John Hopcroft","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5075598023","display_name":"Vahab Mirrokni","orcid":"https://orcid.org/0000-0001-6705-5629"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Vahab Mirrokni","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5102005063","display_name":"Shang\u2010Hua Teng","orcid":"https://orcid.org/0000-0001-5011-4514"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Shang-Hua Teng","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":6,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":9.6327,"has_fulltext":false,"cited_by_count":80,"citation_normalized_percentile":{"value":0.97754462,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":100},"biblio":{"volume":"5","issue":"1-2","first_page":"23","last_page":"45"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11644","display_name":"Spam and Phishing Detection","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1710","display_name":"Information Systems"},"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/T11644","display_name":"Spam and Phishing Detection","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1710","display_name":"Information Systems"},"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/T10064","display_name":"Complex Network Analysis Techniques","score":0.9990000128746033,"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/T12016","display_name":"Web Data Mining and Analysis","score":0.9984999895095825,"subfield":{"id":"https://openalex.org/subfields/1710","display_name":"Information Systems"},"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/pagerank","display_name":"PageRank","score":0.920696496963501},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.7827531099319458},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6740310192108154},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6349536776542664},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5311397910118103},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5130289793014526},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.45369839668273926},{"id":"https://openalex.org/keywords/approximation-algorithm","display_name":"Approximation algorithm","score":0.44090884923934937},{"id":"https://openalex.org/keywords/fraction","display_name":"Fraction (chemistry)","score":0.41866326332092285},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3912458121776581},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.1978086531162262},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.1794530153274536},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.17938941717147827}],"concepts":[{"id":"https://openalex.org/C2779172887","wikidata":"https://www.wikidata.org/wiki/Q184316","display_name":"PageRank","level":2,"score":0.920696496963501},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.7827531099319458},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6740310192108154},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6349536776542664},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5311397910118103},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5130289793014526},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.45369839668273926},{"id":"https://openalex.org/C148764684","wikidata":"https://www.wikidata.org/wiki/Q621751","display_name":"Approximation algorithm","level":2,"score":0.44090884923934937},{"id":"https://openalex.org/C149629883","wikidata":"https://www.wikidata.org/wiki/Q660926","display_name":"Fraction (chemistry)","level":2,"score":0.41866326332092285},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3912458121776581},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.1978086531162262},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.1794530153274536},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.17938941717147827},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","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/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/15427951.2008.10129302","is_oa":true,"landing_page_url":"https://doi.org/10.1080/15427951.2008.10129302","pdf_url":"https://www.internetmathematicsjournal.com/article/1456.pdf","source":{"id":"https://openalex.org/S19474917","display_name":"Internet Mathematics","issn_l":"1542-7951","issn":["1542-7951","1944-9488"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Internet Mathematics","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1080/15427951.2008.10129302","is_oa":true,"landing_page_url":"https://doi.org/10.1080/15427951.2008.10129302","pdf_url":"https://www.internetmathematicsjournal.com/article/1456.pdf","source":{"id":"https://openalex.org/S19474917","display_name":"Internet Mathematics","issn_l":"1542-7951","issn":["1542-7951","1944-9488"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Internet Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3030647867.pdf","grobid_xml":"https://content.openalex.org/works/W3030647867.grobid-xml"},"referenced_works_count":22,"referenced_works":["https://openalex.org/W99849907","https://openalex.org/W202878612","https://openalex.org/W1550457191","https://openalex.org/W1845137714","https://openalex.org/W1987314757","https://openalex.org/W1987365175","https://openalex.org/W2017345786","https://openalex.org/W2033252376","https://openalex.org/W2039191721","https://openalex.org/W2045107949","https://openalex.org/W2066055909","https://openalex.org/W2066636486","https://openalex.org/W2069153192","https://openalex.org/W2086254934","https://openalex.org/W2099789730","https://openalex.org/W2107428549","https://openalex.org/W2122505515","https://openalex.org/W2124168655","https://openalex.org/W2143917438","https://openalex.org/W2401383085","https://openalex.org/W4240052223","https://openalex.org/W4253083841"],"related_works":["https://openalex.org/W2106626222","https://openalex.org/W2980866815","https://openalex.org/W1562405179","https://openalex.org/W2125493559","https://openalex.org/W1544909909","https://openalex.org/W2002053721","https://openalex.org/W2001641889","https://openalex.org/W4297665054","https://openalex.org/W1625594124","https://openalex.org/W1588499150"],"abstract_inverted_index":{"Motivated":[0],"by":[1,91,124,173],"the":[2,9,30,50,60,67,72,78,99,117,139,153,164,187,200,217],"problem":[3],"of":[4,32,43,53,63,74,80,98,116,156,167,202,207,219],"detecting":[5],"link-spam,":[6],"we":[7,58,132,144,224],"consider":[8],"following":[10,188],"graph-theoretic":[11],"primitive:":[12],"Given":[13],"a":[14,17,23,41,89,95,103,121,134,150,182,197,205,214],"webgraph":[15],"_G_,":[16,21],"vertex":[18,76,123],"_\u03c5_":[19,38,64,157],"in":[20],"and":[22,158,169],"parameter":[24],"\u03b4":[25],"\u2208":[26],"(0,":[27],"1),":[28],"compute":[29],"set":[31,49,52,151,155,166,206],"all":[33],"vertices":[34,162,194,209],"that":[35,87,112,148,170,195,210,226],"contribute":[36,196,211],"to":[37,65,77,199,216],"at":[39,159,175,212,230],"least":[40,213],"\u03b4-fraction":[42],"_\u03c5_'s":[44],"PageRank.":[45],"We":[46,106,179],"call":[47],"this":[48,56,130,222],"\u03b4-contributing":[51,154],"_\u03c5_.":[54,81,220],"To":[55],"end,":[57],"define":[59],"contribution":[61,118],"vector":[62,68,119],"be":[66],"whose":[69],"entries":[70],"measure":[71],"contributions":[73],"every":[75],"PageRank":[79,201,218],"A":[82],"local":[83,110,135,183],"algorithm":[84,111,137,147,184,228],"is":[85],"one":[86],"produces":[88],"solution":[90],"adaptively":[92,125],"examining":[93,126,174],"only":[94],"small":[96],"portion":[97],"input":[100],"graph":[101],"near":[102],"specified":[104],"vertex.":[105],"give":[107,133,145,181],"an":[108,114,146],"efficient":[109],"computes":[113],"\u03b5-approximation":[115],"for":[120,138,185],"given":[122],"_O_(1/\u03b5)":[127],"vertices.":[128,178,233],"Using":[129],"algorithm,":[131],"approximation":[136],"primitive":[140],"defined":[141],"above.":[142],"Specifically,":[143],"returns":[149],"containing":[152],"most":[160,176,231],"_O_(1/\u03b4)":[161,177],"from":[163],"\u03b4/2-contributing":[165],"_\u03c5_,":[168,203],"does":[171],"so":[172],"also":[180],"solving":[186],"problem:":[189],"If":[190],"there":[191],"exist":[192],"_k_":[193,208],"_\u03c1_-fraction":[198],"find":[204],"(_\u03c1_\u2212\u03b5)-fraction":[215],"In":[221],"case,":[223],"prove":[225],"our":[227],"examines":[229],"_O_(_k_/\u03b5)":[232]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":19},{"year":2019,"cited_by_count":6},{"year":2018,"cited_by_count":6},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":5},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":7},{"year":2012,"cited_by_count":3}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
