{"id":"https://openalex.org/W2060973893","doi":"https://doi.org/10.1109/cdc.2013.6759856","title":"Distributed computation of node and edge betweenness on tree graphs","display_name":"Distributed computation of node and edge betweenness on tree graphs","publication_year":2013,"publication_date":"2013-12-01","ids":{"openalex":"https://openalex.org/W2060973893","doi":"https://doi.org/10.1109/cdc.2013.6759856","mag":"2060973893"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2013.6759856","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2013.6759856","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"52nd IEEE Conference on Decision and Control","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/A5101593330","display_name":"Wei Wang","orcid":"https://orcid.org/0000-0003-4088-5395"},"institutions":[{"id":"https://openalex.org/I8692664","display_name":"University of Oklahoma","ror":"https://ror.org/02aqsxs83","country_code":"US","type":"education","lineage":["https://openalex.org/I8692664"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Wei Wang","raw_affiliation_strings":["School of Electrical and Computer Engineering, University of Oklahoma, Norman, OK, USA","Sch. of Electr. & Comput. Eng., Univ. of Oklahoma, Norman, OK, USA#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electrical and Computer Engineering, University of Oklahoma, Norman, OK, USA","institution_ids":["https://openalex.org/I8692664"]},{"raw_affiliation_string":"Sch. of Electr. & Comput. Eng., Univ. of Oklahoma, Norman, OK, USA#TAB#","institution_ids":["https://openalex.org/I8692664"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101932271","display_name":"Choon Yik Tang","orcid":"https://orcid.org/0000-0001-6145-301X"},"institutions":[{"id":"https://openalex.org/I8692664","display_name":"University of Oklahoma","ror":"https://ror.org/02aqsxs83","country_code":"US","type":"education","lineage":["https://openalex.org/I8692664"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Choon Yik Tang","raw_affiliation_strings":["School of Electrical and Computer Engineering, University of Oklahoma, Norman, OK, USA","Sch. of Electr. & Comput. Eng., Univ. of Oklahoma, Norman, OK, USA#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electrical and Computer Engineering, University of Oklahoma, Norman, OK, USA","institution_ids":["https://openalex.org/I8692664"]},{"raw_affiliation_string":"Sch. of Electr. & Comput. Eng., Univ. of Oklahoma, Norman, OK, USA#TAB#","institution_ids":["https://openalex.org/I8692664"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.7486,"has_fulltext":false,"cited_by_count":27,"citation_normalized_percentile":{"value":0.84876414,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"21","issue":null,"first_page":"43","last_page":"48"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10064","display_name":"Complex Network Analysis Techniques","score":0.9980999827384949,"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":0.9980999827384949,"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":0.9979000091552734,"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/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.9973999857902527,"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":0.8542836904525757},{"id":"https://openalex.org/keywords/node","display_name":"Node (physics)","score":0.6455525159835815},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6420387029647827},{"id":"https://openalex.org/keywords/scalability","display_name":"Scalability","score":0.5454791188240051},{"id":"https://openalex.org/keywords/enhanced-data-rates-for-gsm-evolution","display_name":"Enhanced Data Rates for GSM Evolution","score":0.5233415961265564},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.49556291103363037},{"id":"https://openalex.org/keywords/centrality","display_name":"Centrality","score":0.4864766299724579},{"id":"https://openalex.org/keywords/tree","display_name":"Tree (set theory)","score":0.4710899293422699},{"id":"https://openalex.org/keywords/network-topology","display_name":"Network topology","score":0.4403040409088135},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4151303768157959},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3508470058441162},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.34335315227508545},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.15562507510185242},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.11644050478935242},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.07552888989448547}],"concepts":[{"id":"https://openalex.org/C117045392","wikidata":"https://www.wikidata.org/wiki/Q4899215","display_name":"Betweenness centrality","level":3,"score":0.8542836904525757},{"id":"https://openalex.org/C62611344","wikidata":"https://www.wikidata.org/wiki/Q1062658","display_name":"Node (physics)","level":2,"score":0.6455525159835815},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6420387029647827},{"id":"https://openalex.org/C48044578","wikidata":"https://www.wikidata.org/wiki/Q727490","display_name":"Scalability","level":2,"score":0.5454791188240051},{"id":"https://openalex.org/C162307627","wikidata":"https://www.wikidata.org/wiki/Q204833","display_name":"Enhanced Data Rates for GSM Evolution","level":2,"score":0.5233415961265564},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.49556291103363037},{"id":"https://openalex.org/C53811970","wikidata":"https://www.wikidata.org/wiki/Q5062194","display_name":"Centrality","level":2,"score":0.4864766299724579},{"id":"https://openalex.org/C113174947","wikidata":"https://www.wikidata.org/wiki/Q2859736","display_name":"Tree (set theory)","level":2,"score":0.4710899293422699},{"id":"https://openalex.org/C199845137","wikidata":"https://www.wikidata.org/wiki/Q145490","display_name":"Network topology","level":2,"score":0.4403040409088135},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4151303768157959},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3508470058441162},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.34335315227508545},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.15562507510185242},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.11644050478935242},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.07552888989448547},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","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},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc.2013.6759856","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2013.6759856","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"52nd IEEE Conference on Decision and Control","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":30,"referenced_works":["https://openalex.org/W390146837","https://openalex.org/W1513185775","https://openalex.org/W1527463082","https://openalex.org/W1547358136","https://openalex.org/W1573579329","https://openalex.org/W1630241696","https://openalex.org/W1971231593","https://openalex.org/W1971937094","https://openalex.org/W1992229444","https://openalex.org/W2007572995","https://openalex.org/W2008620264","https://openalex.org/W2022948311","https://openalex.org/W2069343813","https://openalex.org/W2070291355","https://openalex.org/W2092330486","https://openalex.org/W2099175737","https://openalex.org/W2107396783","https://openalex.org/W2110128309","https://openalex.org/W2114791779","https://openalex.org/W2117905067","https://openalex.org/W2124351843","https://openalex.org/W2124637492","https://openalex.org/W2128393152","https://openalex.org/W2147854962","https://openalex.org/W2148606196","https://openalex.org/W2171590707","https://openalex.org/W2171707538","https://openalex.org/W2571423792","https://openalex.org/W3104069389","https://openalex.org/W4238452917"],"related_works":["https://openalex.org/W1973509935","https://openalex.org/W4389076551","https://openalex.org/W2097992793","https://openalex.org/W2107855069","https://openalex.org/W2611574733","https://openalex.org/W2241641394","https://openalex.org/W2140653560","https://openalex.org/W2348831795","https://openalex.org/W4312461432","https://openalex.org/W2514739320"],"abstract_inverted_index":{"Knowing":[0],"how":[1,57],"important":[2],"a":[3,10,22,34,59,78,137],"node":[4,31,51,60,92,147],"or":[5,32,61],"an":[6,94],"edge":[7,33,53,62],"is,":[8],"within":[9],"network,":[11],"can":[12,160],"be":[13],"very":[14],"valuable.":[15],"In":[16,42],"the":[17,65,117,124,132,153],"area":[18],"of":[19,24,71],"complex":[20],"networks,":[21],"variety":[23],"centrality":[25],"measures,":[26,49],"which":[27,89],"assign":[28],"to":[29,82,100,149,155],"each":[30,74],"number":[35],"representing":[36],"its":[37,102],"importance,":[38],"have":[39],"been":[40],"proposed.":[41],"this":[43],"paper,":[44],"we":[45,76,141],"consider":[46],"two":[47],"such":[48],"namely,":[50],"and":[52,85,96,109,121,131,159],"betweenness":[54],"that":[55,116,143],"characterize":[56],"often":[58],"lies":[63],"on":[64],"shortest":[66,157],"paths":[67],"between":[68],"all":[69],"pairs":[70],"nodes.":[72],"For":[73],"measure,":[75],"use":[77],"dynamical":[79],"systems":[80],"approach":[81],"develop":[83],"continuous-":[84],"discrete-time":[86,133],"distributed":[87],"algorithms,":[88],"enable":[90],"every":[91],"in":[93],"undirected":[95],"unweighted":[97],"tree":[98],"graph":[99],"compute":[101],"own":[103],"measure":[104],"with":[105,123],"only":[106],"local":[107],"interaction":[108],"without":[110],"any":[111],"centralized":[112],"coordination.":[113],"We":[114],"show":[115,142],"algorithms":[118],"are":[119],"simple":[120],"scalable,":[122],"continuous-time":[125],"version":[126,134],"being":[127],"unconditionally":[128,135],"exponentially":[129],"convergent,":[130],"exhibiting":[136],"deadbeat":[138],"response.":[139],"Moreover,":[140],"they":[144],"require":[145],"minimal":[146],"memories":[148],"execute,":[150],"bypass":[151],"entirely":[152],"need":[154],"construct":[156],"paths,":[158],"handle":[161],"time-varying":[162],"topologies.":[163]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":5},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}