{"id":"https://openalex.org/W2152091390","doi":"https://doi.org/10.1145/1651274.1651282","title":"Fast centrality approximation in modular networks","display_name":"Fast centrality approximation in modular networks","publication_year":2009,"publication_date":"2009-11-06","ids":{"openalex":"https://openalex.org/W2152091390","doi":"https://doi.org/10.1145/1651274.1651282","mag":"2152091390"},"language":"en","primary_location":{"id":"doi:10.1145/1651274.1651282","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1651274.1651282","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 1st ACM international workshop on Complex networks meet information &amp; knowledge management","raw_type":"proceedings-article"},"type":"conference-paper","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/A5112068558","display_name":"Shu Yan Chan","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Shu Yan Chan","raw_affiliation_strings":["Univeristy of Cambridge, Cambridge, United Kingdom"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Univeristy of Cambridge, Cambridge, United Kingdom","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5050965411","display_name":"Ian X. Y. Leung","orcid":null},"institutions":[{"id":"https://openalex.org/I241749","display_name":"University of Cambridge","ror":"https://ror.org/013meh722","country_code":"GB","type":"education","lineage":["https://openalex.org/I241749"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Ian X.Y. Leung","raw_affiliation_strings":["University of Cambridge, Cambridge, United Kingdom"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Cambridge, Cambridge, United Kingdom","institution_ids":["https://openalex.org/I241749"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5056748708","display_name":"P\u00edetro Li\u00f3","orcid":"https://orcid.org/0000-0002-0540-5053"},"institutions":[{"id":"https://openalex.org/I241749","display_name":"University of Cambridge","ror":"https://ror.org/013meh722","country_code":"GB","type":"education","lineage":["https://openalex.org/I241749"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Pietro Li\u00f2","raw_affiliation_strings":["University of Cambridge, Cambridge, United Kingdom"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Cambridge, Cambridge, United Kingdom","institution_ids":["https://openalex.org/I241749"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":41,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"31","last_page":"38"},"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/T12592","display_name":"Opinion Dynamics and Social Influence","score":0.9889000058174133,"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/T10742","display_name":"Peer-to-Peer Network Technologies","score":0.9854000210762024,"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/betweenness-centrality","display_name":"Betweenness centrality","score":0.9235540628433228},{"id":"https://openalex.org/keywords/centrality","display_name":"Centrality","score":0.8775990605354309},{"id":"https://openalex.org/keywords/modularity","display_name":"Modularity (biology)","score":0.6832424402236938},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6748594045639038},{"id":"https://openalex.org/keywords/node","display_name":"Node (physics)","score":0.6552873253822327},{"id":"https://openalex.org/keywords/community-structure","display_name":"Community structure","score":0.5531594753265381},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.5428504943847656},{"id":"https://openalex.org/keywords/inference","display_name":"Inference","score":0.5332199335098267},{"id":"https://openalex.org/keywords/modular-design","display_name":"Modular design","score":0.5132429599761963},{"id":"https://openalex.org/keywords/network-controllability","display_name":"Network controllability","score":0.4751707911491394},{"id":"https://openalex.org/keywords/network-science","display_name":"Network science","score":0.4653777480125427},{"id":"https://openalex.org/keywords/task","display_name":"Task (project management)","score":0.44755908846855164},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.4474489688873291},{"id":"https://openalex.org/keywords/approximation-algorithm","display_name":"Approximation algorithm","score":0.42505815625190735},{"id":"https://openalex.org/keywords/closeness","display_name":"Closeness","score":0.4182650148868561},{"id":"https://openalex.org/keywords/network-theory","display_name":"Network theory","score":0.4130031168460846},{"id":"https://openalex.org/keywords/complex-network","display_name":"Complex network","score":0.3602932095527649},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.340015709400177},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.23880717158317566},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.22691944241523743},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.14447468519210815}],"concepts":[{"id":"https://openalex.org/C117045392","wikidata":"https://www.wikidata.org/wiki/Q4899215","display_name":"Betweenness centrality","level":3,"score":0.9235540628433228},{"id":"https://openalex.org/C53811970","wikidata":"https://www.wikidata.org/wiki/Q5062194","display_name":"Centrality","level":2,"score":0.8775990605354309},{"id":"https://openalex.org/C2779478453","wikidata":"https://www.wikidata.org/wiki/Q6889748","display_name":"Modularity (biology)","level":2,"score":0.6832424402236938},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6748594045639038},{"id":"https://openalex.org/C62611344","wikidata":"https://www.wikidata.org/wiki/Q1062658","display_name":"Node (physics)","level":2,"score":0.6552873253822327},{"id":"https://openalex.org/C133079900","wikidata":"https://www.wikidata.org/wiki/Q5155065","display_name":"Community structure","level":2,"score":0.5531594753265381},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.5428504943847656},{"id":"https://openalex.org/C2776214188","wikidata":"https://www.wikidata.org/wiki/Q408386","display_name":"Inference","level":2,"score":0.5332199335098267},{"id":"https://openalex.org/C101468663","wikidata":"https://www.wikidata.org/wiki/Q1620158","display_name":"Modular design","level":2,"score":0.5132429599761963},{"id":"https://openalex.org/C41982775","wikidata":"https://www.wikidata.org/wiki/Q7000977","display_name":"Network controllability","level":4,"score":0.4751707911491394},{"id":"https://openalex.org/C137753397","wikidata":"https://www.wikidata.org/wiki/Q2434424","display_name":"Network science","level":3,"score":0.4653777480125427},{"id":"https://openalex.org/C2780451532","wikidata":"https://www.wikidata.org/wiki/Q759676","display_name":"Task (project management)","level":2,"score":0.44755908846855164},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.4474489688873291},{"id":"https://openalex.org/C148764684","wikidata":"https://www.wikidata.org/wiki/Q621751","display_name":"Approximation algorithm","level":2,"score":0.42505815625190735},{"id":"https://openalex.org/C2779545769","wikidata":"https://www.wikidata.org/wiki/Q5135364","display_name":"Closeness","level":2,"score":0.4182650148868561},{"id":"https://openalex.org/C11804174","wikidata":"https://www.wikidata.org/wiki/Q1192971","display_name":"Network theory","level":2,"score":0.4130031168460846},{"id":"https://openalex.org/C34947359","wikidata":"https://www.wikidata.org/wiki/Q665189","display_name":"Complex network","level":2,"score":0.3602932095527649},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.340015709400177},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.23880717158317566},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.22691944241523743},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.14447468519210815},{"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C187736073","wikidata":"https://www.wikidata.org/wiki/Q2920921","display_name":"Management","level":1,"score":0.0},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/1651274.1651282","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1651274.1651282","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 1st ACM international workshop on Complex networks meet information &amp; knowledge management","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320324890","display_name":"Ministry of Defense","ror":"https://ror.org/04wxm6g36"},{"id":"https://openalex.org/F4320338295","display_name":"Army Research Laboratory","ror":"https://ror.org/011hc8f90"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W1527104720","https://openalex.org/W1573579329","https://openalex.org/W1967385589","https://openalex.org/W1996014455","https://openalex.org/W2023655578","https://openalex.org/W2046868922","https://openalex.org/W2056944867","https://openalex.org/W2095293504","https://openalex.org/W2099970772","https://openalex.org/W2112090702","https://openalex.org/W2112868720","https://openalex.org/W2115022330","https://openalex.org/W2117526408","https://openalex.org/W2124637492","https://openalex.org/W2127387319","https://openalex.org/W2154897810","https://openalex.org/W2163480486","https://openalex.org/W2171590707","https://openalex.org/W2171707538","https://openalex.org/W2187250072","https://openalex.org/W2567974767","https://openalex.org/W3141829038","https://openalex.org/W6634264458"],"related_works":["https://openalex.org/W1848393892","https://openalex.org/W2070633563","https://openalex.org/W3122009162","https://openalex.org/W2735213133","https://openalex.org/W2912690850","https://openalex.org/W3216125393","https://openalex.org/W4226344630","https://openalex.org/W2938968308","https://openalex.org/W2607004591","https://openalex.org/W1490471423"],"abstract_inverted_index":{"Measuring":[0],"the":[1,14,40,44,67,123],"centrality":[2,31,84],"of":[3,30,69,102,125],"nodes":[4,92],"in":[5,13,35,57,137,150],"real-world":[6,58],"networks":[7,37,59],"has":[8],"remained":[9],"an":[10],"important":[11],"task":[12],"technological,":[15],"social,":[16],"and":[17,26,110,119,127,154],"biological":[18],"network":[19,101],"paradigms":[20],"carrying":[21],"implications":[22],"on":[23,95],"their":[24],"analysis":[25],"applications.":[27],"Exact":[28],"inference":[29],"values":[32],"is":[33],"infeasible":[34],"large":[36],"due":[38],"to":[39,42,53,63],"need":[41],"solve":[43],"all-pairs":[45],"shortest":[46],"path":[47],"problem.":[48],"We":[49,79],"introduce":[50],"a":[51,82,99,131],"framework":[52,114],"approximate":[54],"node":[55],"centralities":[56],"that":[60,90],"are":[61,75,143],"known":[62,86],"exhibit":[64],"modularity,":[65],"i.e.,":[66],"presence":[68],"dense":[70],"subgraphs":[71],"or":[72],"communities,":[73],"which":[74],"themselves":[76],"sparsely":[77],"connected.":[78],"also":[80],"propose":[81],"novel":[83],"measure":[85],"as":[87],"Community":[88],"Inbetweenness":[89],"ranks":[91],"based":[93],"solely":[94],"community":[96,138],"information.":[97],"In":[98],"modular":[100],"size":[103],"n":[104],"with":[105],"\u221an(1/2)":[106],"evenly":[107],"sized":[108],"communities":[109],"m":[111],"edges,":[112],"our":[113,140],"requires":[115],"linear":[116,134],"time":[117,121,135],"O(m)":[118],"O(\u221anm)":[120],"for":[122],"approximation":[124,141],"closeness":[126],"betweenness":[128],"respectively.":[129],"Utilizing":[130],"recently":[132],"proposed":[133],"method":[136],"detection,":[139],"techniques":[142],"faster":[144],"than":[145],"traditional":[146],"sampling":[147],"algorithms,":[148],"applicable":[149],"real-time":[151],"distributed":[152],"environments,":[153],"offer":[155],"highly":[156],"comparable":[157],"results.":[158]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":2},{"year":2015,"cited_by_count":5},{"year":2014,"cited_by_count":7},{"year":2013,"cited_by_count":5},{"year":2012,"cited_by_count":3}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}
