{"id":"https://openalex.org/W2058486861","doi":"https://doi.org/10.1137/08073617x","title":"On the Approximability of Influence in Social Networks","display_name":"On the Approximability of Influence in Social Networks","publication_year":2009,"publication_date":"2009-01-01","ids":{"openalex":"https://openalex.org/W2058486861","doi":"https://doi.org/10.1137/08073617x","mag":"2058486861"},"language":"en","primary_location":{"id":"doi:10.1137/08073617x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/08073617x","pdf_url":null,"source":{"id":"https://openalex.org/S117679221","display_name":"SIAM Journal on Discrete Mathematics","issn_l":"0895-4801","issn":["0895-4801","1095-7146"],"is_oa":false,"is_in_doaj":false,"is_core":true,"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Discrete Mathematics","raw_type":"journal-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/A5100446702","display_name":"Ning Chen","orcid":"https://orcid.org/0000-0002-7019-9321"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Ning Chen","raw_affiliation_strings":["ningc@ntu.edu.sg#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ningc@ntu.edu.sg#TAB#","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5100446702"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":8.284,"has_fulltext":false,"cited_by_count":333,"citation_normalized_percentile":{"value":0.98454712,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":99,"max":100},"biblio":{"volume":"23","issue":"3","first_page":"1400","last_page":"1415"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10064","display_name":"Complex Network Analysis Techniques","score":0.9998000264167786,"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":0.9998000264167786,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9916999936103821,"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/T12592","display_name":"Opinion Dynamics and Social Influence","score":0.9902999997138977,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/product","display_name":"Product (mathematics)","score":0.5794791579246521},{"id":"https://openalex.org/keywords/node","display_name":"Node (physics)","score":0.5665767192840576},{"id":"https://openalex.org/keywords/approximation-algorithm","display_name":"Approximation algorithm","score":0.5665450692176819},{"id":"https://openalex.org/keywords/social-network","display_name":"Social network (sociolinguistics)","score":0.5167407393455505},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4747859835624695},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.47322192788124084},{"id":"https://openalex.org/keywords/hardness-of-approximation","display_name":"Hardness of approximation","score":0.47308188676834106},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4642968773841858},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4534483253955841},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.44352227449417114},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4246137738227844},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3837353587150574},{"id":"https://openalex.org/keywords/social-media","display_name":"Social media","score":0.11684262752532959},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.09169122576713562}],"concepts":[{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.5794791579246521},{"id":"https://openalex.org/C62611344","wikidata":"https://www.wikidata.org/wiki/Q1062658","display_name":"Node (physics)","level":2,"score":0.5665767192840576},{"id":"https://openalex.org/C148764684","wikidata":"https://www.wikidata.org/wiki/Q621751","display_name":"Approximation algorithm","level":2,"score":0.5665450692176819},{"id":"https://openalex.org/C4727928","wikidata":"https://www.wikidata.org/wiki/Q17164759","display_name":"Social network (sociolinguistics)","level":3,"score":0.5167407393455505},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4747859835624695},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.47322192788124084},{"id":"https://openalex.org/C112955886","wikidata":"https://www.wikidata.org/wiki/Q5656275","display_name":"Hardness of approximation","level":3,"score":0.47308188676834106},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4642968773841858},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4534483253955841},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.44352227449417114},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4246137738227844},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3837353587150574},{"id":"https://openalex.org/C518677369","wikidata":"https://www.wikidata.org/wiki/Q202833","display_name":"Social media","level":2,"score":0.11684262752532959},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.09169122576713562},{"id":"https://openalex.org/C136764020","wikidata":"https://www.wikidata.org/wiki/Q466","display_name":"World Wide Web","level":1,"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/08073617x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/08073617x","pdf_url":null,"source":{"id":"https://openalex.org/S117679221","display_name":"SIAM Journal on Discrete Mathematics","issn_l":"0895-4801","issn":["0895-4801","1095-7146"],"is_oa":false,"is_in_doaj":false,"is_core":true,"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Discrete Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W1587590810","https://openalex.org/W1970259241","https://openalex.org/W1997369416","https://openalex.org/W2003979824","https://openalex.org/W2042728064","https://openalex.org/W2052687843","https://openalex.org/W2112090702","https://openalex.org/W2170502901","https://openalex.org/W4238955406"],"related_works":["https://openalex.org/W2131810278","https://openalex.org/W2307719096","https://openalex.org/W2476079015","https://openalex.org/W1561811279","https://openalex.org/W2556086418","https://openalex.org/W2747027460","https://openalex.org/W2963411648","https://openalex.org/W2952838392","https://openalex.org/W2016001296","https://openalex.org/W2019123979"],"abstract_inverted_index":{"In":[0],"this":[1,146],"paper,":[2],"we":[3,282],"study":[4],"the":[5,23,34,57,89,117,126,135,153,157,168,173,194,200,203,261,276],"spread":[6,24,262],"of":[7,25,33,56,98,112,125,132,145,155,159,193,205,238,263,267],"influence":[8,26,167],"through":[9,27],"a":[10,14,28,48,74,77,85,93,108,129,180,185,190,227,280,284],"social":[11,29,52,78],"network":[12,170,195],"in":[13,31,47,54,134,231,240,265],"model":[15,50],"initiated":[16],"by":[17,128],"Kempe,":[18],"Kleinberg,":[19],"and":[20,64,221,236,259],"Tardos":[21],"[Maximizing":[22],"network,":[30,79],"Proceedings":[32,55,266],"9th":[35],"ACM":[36],"SIGKIDD":[37],"International":[38,59],"Conference,":[39,271],"Washington,":[40],"D.C.,":[41],"2003,":[42],"pp.":[43,71],"137\u2013146],":[44],"[Influential":[45],"nodes":[46,113,133,213],"diffusion":[49],"for":[51,142],"networks,":[53],"32nd":[58],"Colloquium":[60],"on":[61],"Automata,":[62],"Languages,":[63],"Programming":[65],"(ICALP),":[66],"Lisbon,":[67],"Portugal,":[68],"CITI,":[69],"2005,":[70],"1127\u20131138]:":[72],"Given":[73],"graph":[75,278],"modeling":[76],"where":[80],"each":[81],"node":[82,90],"v":[83],"has":[84],"(fixed)":[86],"threshold":[87],"$t_v$,":[88],"will":[91],"adopt":[92,101,199],"new":[94],"product":[95,118,127],"if":[96,188],"$t_v$":[97],"its":[99],"neighbors":[100],"it.":[102],"Our":[103,148],"goal":[104],"is":[105,175,196,279],"to":[106,119,123,177,198,209,287],"find":[107,288],"small":[109],"set":[110],"S":[111,120,165],"such":[114],"that":[115,152,163],"targeting":[116,164],"would":[121,166],"lead":[122],"adoption":[124],"large":[130],"number":[131],"graph.":[136],"We":[137],"show":[138],"strong":[139],"inapproximability":[140],"results":[141],"several":[143],"variants":[144],"problem.":[147],"main":[149],"result":[150,187,207],"says":[151],"problem":[154],"minimizing":[156],"size":[158],"S,":[160],"while":[161],"ensuring":[162],"whole":[169],"into":[171],"adopting":[172],"product,":[174],"hard":[176],"approximate":[178],"within":[179],"polylogarithmic":[181],"factor.":[182],"This":[183],"implies":[184],"similar":[186],"only":[189],"fixed":[191],"fraction":[192],"ensured":[197],"product.":[201],"Further,":[202],"hardness":[204],"approximation":[206],"continues":[208],"hold":[210],"when":[211],"all":[212],"have":[214,218],"majority":[215],"thresholds":[216,222],"or":[217],"constant":[219],"degrees":[220],"two.":[223],"The":[224],"latter":[225],"answers":[226],"complexity":[228],"question":[229],"proposed":[230],"[P.":[232],"A.":[233],"Dreyer,":[234],"Applications":[235],"Variations":[237],"Domination":[239],"Graphs,":[241],"Ph.D.":[242],"thesis,":[243],"Rutgers":[244],"University,":[245],"Piscataway,":[246,272],"NJ,":[247,273],"2000],":[248],"[F.":[249],"S.":[250],"Roberts,":[251],"Graph-theoretical":[252],"problems":[253],"arising":[254],"from":[255],"defending":[256],"against":[257],"bioterrorism":[258],"controlling":[260],"fires,":[264],"DIMACS/DIMATIA/Renyi":[268],"Combinatorial":[269],"Challenges":[270],"2006].":[274],"When":[275],"underlying":[277],"tree,":[281],"give":[283],"polynomial-time":[285],"algorithm":[286],"an":[289],"optimal":[290],"solution.":[291]},"counts_by_year":[{"year":2026,"cited_by_count":7},{"year":2025,"cited_by_count":23},{"year":2024,"cited_by_count":13},{"year":2023,"cited_by_count":23},{"year":2022,"cited_by_count":17},{"year":2021,"cited_by_count":27},{"year":2020,"cited_by_count":27},{"year":2019,"cited_by_count":27},{"year":2018,"cited_by_count":17},{"year":2017,"cited_by_count":20},{"year":2016,"cited_by_count":20},{"year":2015,"cited_by_count":19},{"year":2014,"cited_by_count":32},{"year":2013,"cited_by_count":23},{"year":2012,"cited_by_count":20}],"updated_date":"2026-07-15T18:14:33.161393","created_date":"2025-10-10T00:00:00"}
