{"id":"https://openalex.org/W3101467015","doi":"https://doi.org/10.1109/tnse.2020.3038309","title":"Energy-Transfer Edge Centrality and Its Role in Enhancing Network Controllability","display_name":"Energy-Transfer Edge Centrality and Its Role in Enhancing Network Controllability","publication_year":2020,"publication_date":"2020-11-16","ids":{"openalex":"https://openalex.org/W3101467015","doi":"https://doi.org/10.1109/tnse.2020.3038309","mag":"3101467015"},"language":"en","primary_location":{"id":"doi:10.1109/tnse.2020.3038309","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnse.2020.3038309","pdf_url":null,"source":{"id":"https://openalex.org/S2484352698","display_name":"IEEE Transactions on Network Science and Engineering","issn_l":"2327-4697","issn":["2327-4697","2334-329X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Network Science and Engineering","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/A5024873287","display_name":"Prasad Vilas Chanekar","orcid":"https://orcid.org/0000-0002-2209-3792"},"institutions":[{"id":"https://openalex.org/I36258959","display_name":"University of California San Diego","ror":"https://ror.org/0168r3w48","country_code":"US","type":"education","lineage":["https://openalex.org/I36258959"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Prasad Vilas Chanekar","raw_affiliation_strings":["Department of Aerospace, and Mechanical Engineering, University of California, San Diego, CA, USA"],"raw_orcid":"https://orcid.org/0000-0002-2209-3792","affiliations":[{"raw_affiliation_string":"Department of Aerospace, and Mechanical Engineering, University of California, San Diego, CA, USA","institution_ids":["https://openalex.org/I36258959"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5062707158","display_name":"Erfan Nozari","orcid":"https://orcid.org/0000-0002-1981-8959"},"institutions":[{"id":"https://openalex.org/I103635307","display_name":"University of California, Riverside","ror":"https://ror.org/03nawhv43","country_code":"US","type":"education","lineage":["https://openalex.org/I103635307"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Erfan Nozari","raw_affiliation_strings":["Department of Mechanical Engineering, University of California, Riverside, CA 92521, USA"],"raw_orcid":"https://orcid.org/0000-0002-1981-8959","affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, University of California, Riverside, CA 92521, USA","institution_ids":["https://openalex.org/I103635307"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5027913099","display_name":"Jorge Cort\u00e9s","orcid":"https://orcid.org/0000-0001-9582-5184"},"institutions":[{"id":"https://openalex.org/I36258959","display_name":"University of California San Diego","ror":"https://ror.org/0168r3w48","country_code":"US","type":"education","lineage":["https://openalex.org/I36258959"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jorge Cortes","raw_affiliation_strings":["Department of Aerospace, and Mechanical Engineering, University of California, San Diego, CA, USA"],"raw_orcid":"https://orcid.org/0000-0001-9582-5184","affiliations":[{"raw_affiliation_string":"Department of Aerospace, and Mechanical Engineering, University of California, San Diego, CA, USA","institution_ids":["https://openalex.org/I36258959"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2045,"currency":"USD","value_usd":2045},"apc_paid":null,"fwci":0.833,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.71113838,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"8","issue":"1","first_page":"331","last_page":"346"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10064","display_name":"Complex Network Analysis Techniques","score":0.9987999796867371,"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":0.9987999796867371,"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":0.9952999949455261,"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/T11476","display_name":"Graph theory and applications","score":0.9815000295639038,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/controllability-gramian","display_name":"Controllability Gramian","score":0.865350604057312},{"id":"https://openalex.org/keywords/controllability","display_name":"Controllability","score":0.8189641237258911},{"id":"https://openalex.org/keywords/network-controllability","display_name":"Network controllability","score":0.7411732077598572},{"id":"https://openalex.org/keywords/centrality","display_name":"Centrality","score":0.6011120676994324},{"id":"https://openalex.org/keywords/gramian-matrix","display_name":"Gramian matrix","score":0.5361087322235107},{"id":"https://openalex.org/keywords/enhanced-data-rates-for-gsm-evolution","display_name":"Enhanced Data Rates for GSM Evolution","score":0.5035678744316101},{"id":"https://openalex.org/keywords/trace","display_name":"TRACE (psycholinguistics)","score":0.49129360914230347},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4754623770713806},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.46666544675827026},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4619486927986145},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.449631929397583},{"id":"https://openalex.org/keywords/weighting","display_name":"Weighting","score":0.44697296619415283},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.33281633257865906},{"id":"https://openalex.org/keywords/betweenness-centrality","display_name":"Betweenness centrality","score":0.3125148415565491},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.1595521867275238},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.11199429631233215},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.07096943259239197}],"concepts":[{"id":"https://openalex.org/C143461762","wikidata":"https://www.wikidata.org/wiki/Q83587","display_name":"Controllability Gramian","level":3,"score":0.865350604057312},{"id":"https://openalex.org/C48209547","wikidata":"https://www.wikidata.org/wiki/Q1331104","display_name":"Controllability","level":2,"score":0.8189641237258911},{"id":"https://openalex.org/C41982775","wikidata":"https://www.wikidata.org/wiki/Q7000977","display_name":"Network controllability","level":4,"score":0.7411732077598572},{"id":"https://openalex.org/C53811970","wikidata":"https://www.wikidata.org/wiki/Q5062194","display_name":"Centrality","level":2,"score":0.6011120676994324},{"id":"https://openalex.org/C77246614","wikidata":"https://www.wikidata.org/wiki/Q1409400","display_name":"Gramian matrix","level":3,"score":0.5361087322235107},{"id":"https://openalex.org/C162307627","wikidata":"https://www.wikidata.org/wiki/Q204833","display_name":"Enhanced Data Rates for GSM Evolution","level":2,"score":0.5035678744316101},{"id":"https://openalex.org/C75291252","wikidata":"https://www.wikidata.org/wiki/Q1315756","display_name":"TRACE (psycholinguistics)","level":2,"score":0.49129360914230347},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4754623770713806},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.46666544675827026},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4619486927986145},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.449631929397583},{"id":"https://openalex.org/C183115368","wikidata":"https://www.wikidata.org/wiki/Q856577","display_name":"Weighting","level":2,"score":0.44697296619415283},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.33281633257865906},{"id":"https://openalex.org/C117045392","wikidata":"https://www.wikidata.org/wiki/Q4899215","display_name":"Betweenness centrality","level":3,"score":0.3125148415565491},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.1595521867275238},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.11199429631233215},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.07096943259239197},{"id":"https://openalex.org/C126838900","wikidata":"https://www.wikidata.org/wiki/Q77604","display_name":"Radiology","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tnse.2020.3038309","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnse.2020.3038309","pdf_url":null,"source":{"id":"https://openalex.org/S2484352698","display_name":"IEEE Transactions on Network Science and Engineering","issn_l":"2327-4697","issn":["2327-4697","2334-329X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Network Science and Engineering","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy","score":0.8999999761581421}],"awards":[{"id":"https://openalex.org/G6346992784","display_name":"Understanding Selective Recruitment in Neuronal Networks via Systems Theory","funder_award_id":"1826065","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":66,"referenced_works":["https://openalex.org/W31615027","https://openalex.org/W83533993","https://openalex.org/W327553756","https://openalex.org/W1487444668","https://openalex.org/W1533179050","https://openalex.org/W1534096605","https://openalex.org/W1557899381","https://openalex.org/W1560483479","https://openalex.org/W1563601717","https://openalex.org/W1677824830","https://openalex.org/W1788292158","https://openalex.org/W1829644108","https://openalex.org/W1884503243","https://openalex.org/W1938602245","https://openalex.org/W1989801809","https://openalex.org/W1993579690","https://openalex.org/W2018353135","https://openalex.org/W2097521761","https://openalex.org/W2104109956","https://openalex.org/W2110852762","https://openalex.org/W2111725629","https://openalex.org/W2123774638","https://openalex.org/W2170213261","https://openalex.org/W2171707538","https://openalex.org/W2216737681","https://openalex.org/W2296319761","https://openalex.org/W2326091185","https://openalex.org/W2495591843","https://openalex.org/W2528693189","https://openalex.org/W2592313125","https://openalex.org/W2735293072","https://openalex.org/W2735532205","https://openalex.org/W2757107770","https://openalex.org/W2766044225","https://openalex.org/W2793796729","https://openalex.org/W2798337219","https://openalex.org/W2799002609","https://openalex.org/W2901892089","https://openalex.org/W2908665690","https://openalex.org/W2928055677","https://openalex.org/W2949203029","https://openalex.org/W2952612091","https://openalex.org/W2956480317","https://openalex.org/W2962680036","https://openalex.org/W2963565661","https://openalex.org/W2964046693","https://openalex.org/W2986629677","https://openalex.org/W3009856151","https://openalex.org/W3010884219","https://openalex.org/W3011591466","https://openalex.org/W3032879678","https://openalex.org/W3045153201","https://openalex.org/W3104160196","https://openalex.org/W3105940665","https://openalex.org/W3116487355","https://openalex.org/W3118655244","https://openalex.org/W3143219376","https://openalex.org/W4241739558","https://openalex.org/W4285719527","https://openalex.org/W4301621763","https://openalex.org/W4404299545","https://openalex.org/W6601301251","https://openalex.org/W6728043610","https://openalex.org/W6734247149","https://openalex.org/W6761537165","https://openalex.org/W6769713438"],"related_works":["https://openalex.org/W2526478698","https://openalex.org/W4210360605","https://openalex.org/W2577309101","https://openalex.org/W4294558370","https://openalex.org/W2912925551","https://openalex.org/W4206193827","https://openalex.org/W2907471383","https://openalex.org/W2034059531","https://openalex.org/W3121904599","https://openalex.org/W1994014931"],"abstract_inverted_index":{"The":[0],"ability":[1],"to":[2,12,69,100,188],"modify":[3],"the":[4,31,46,67,77,85,88,96,110,114,119,123,129,132,137,140,143,146,154,161,164,168,172,185],"structure":[5,48],"of":[6,87,103,109,113,122,131,142,163,167,192],"network":[7,37,53,78,147,180],"systems":[8],"offers":[9],"great":[10],"opportunities":[11],"enhance":[13],"their":[14,17,21,199],"operation,":[15],"improve":[16],"efficiency,":[18],"and":[19,25,58,107,153,196],"increase":[20],"resilience":[22],"against":[23],"failures":[24],"attacks.":[26],"This":[27],"paper":[28],"focuses":[29],"on":[30,128],"edge":[32,62,72,101,124,174],"modification":[33,125,181],"problem,":[34],"i.e.,":[35],"improving":[36],"controllability":[38,151],"by":[39,91],"adding":[40],"and/or":[41],"re-weighting":[42],"interconnections":[43],"while":[44],"keeping":[45],"actuation":[47],"fixed.":[49],"We":[50,83,116],"consider":[51],"a":[52,60,149,189],"system":[54],"following":[55],"linear":[56],"dynamics":[57],"propose":[59],"novel":[61],"centrality":[63,175],"measure":[64,90,176],"that":[65,118,183],"captures":[66],"extent":[68],"which":[70],"an":[71],"facilitates":[73],"energy":[74],"exchange":[75],"across":[76],"through":[79],"its":[80,93],"defining":[81],"nodes.":[82],"analyze":[84],"effectiveness":[86],"proposed":[89,173],"characterizing":[92],"relationship":[94],"with":[95],"gradient":[97],"(with":[98],"respect":[99],"weights)":[102],"trace,":[104],"log":[105,158],"determinant,":[106],"inverse":[108,112,162,166],"trace":[111,141,165],"Gramian.":[115,169],"show":[117],"optimal":[120],"solution":[121],"problem":[126],"lies":[127],"boundary":[130],"feasible":[133],"search":[134,186],"space":[135,187],"when":[136],"objective":[138,155],"is":[139,156],"Gramian":[144,152],"or":[145,160],"has":[148],"diagonal":[150],"either":[157],"determinant":[159],"Finally,":[170],"using":[171],"we":[177],"design":[178],"two":[179],"algorithms":[182],"restrict":[184],"smaller":[190],"subset":[191],"all":[193],"possible":[194],"edges":[195],"numerically":[197],"demonstrate":[198],"efficacy.":[200]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2}],"updated_date":"2026-08-28T12:50:07.497085","created_date":"2025-10-10T00:00:00"}
