{"id":"https://openalex.org/W7133542905","doi":"https://doi.org/10.1109/tkde.2026.3670233","title":"Scaling up Electrical Closeness Centrality Computation","display_name":"Scaling up Electrical Closeness Centrality Computation","publication_year":2026,"publication_date":"2026-03-04","ids":{"openalex":"https://openalex.org/W7133542905","doi":"https://doi.org/10.1109/tkde.2026.3670233"},"language":null,"primary_location":{"id":"doi:10.1109/tkde.2026.3670233","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tkde.2026.3670233","pdf_url":null,"source":{"id":"https://openalex.org/S30698027","display_name":"IEEE Transactions on Knowledge and Data Engineering","issn_l":"1041-4347","issn":["1041-4347","1558-2191","2326-3865"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320439","host_organization_name":"IEEE Computer Society","host_organization_lineage":["https://openalex.org/P4310320439","https://openalex.org/P4310319808"],"host_organization_lineage_names":["IEEE Computer Society","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 Knowledge and Data 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/A5072218988","display_name":"Meihao Liao","orcid":"https://orcid.org/0000-0002-5808-3131"},"institutions":[{"id":"https://openalex.org/I125839683","display_name":"Beijing Institute of Technology","ror":"https://ror.org/01skt4w74","country_code":"CN","type":"education","lineage":["https://openalex.org/I125839683","https://openalex.org/I890469752"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Meihao Liao","raw_affiliation_strings":["Beijing Institute of Technology, Beijing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Beijing Institute of Technology, Beijing, China","institution_ids":["https://openalex.org/I125839683"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100742464","display_name":"Rong-Hua Li","orcid":"https://orcid.org/0000-0001-8658-6599"},"institutions":[{"id":"https://openalex.org/I125839683","display_name":"Beijing Institute of Technology","ror":"https://ror.org/01skt4w74","country_code":"CN","type":"education","lineage":["https://openalex.org/I125839683","https://openalex.org/I890469752"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Rong-Hua Li","raw_affiliation_strings":["Beijing Institute of Technology, Beijing, China"],"raw_orcid":"https://orcid.org/0000-0001-8658-6599","affiliations":[{"raw_affiliation_string":"Beijing Institute of Technology, Beijing, China","institution_ids":["https://openalex.org/I125839683"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5030519392","display_name":"Qiangqiang Dai","orcid":"https://orcid.org/0000-0002-8569-6558"},"institutions":[{"id":"https://openalex.org/I125839683","display_name":"Beijing Institute of Technology","ror":"https://ror.org/01skt4w74","country_code":"CN","type":"education","lineage":["https://openalex.org/I125839683","https://openalex.org/I890469752"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qiangqiang Dai","raw_affiliation_strings":["Beijing Institute of Technology, Beijing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Beijing Institute of Technology, Beijing, China","institution_ids":["https://openalex.org/I125839683"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5128109383","display_name":"Guoren Wang","orcid":null},"institutions":[{"id":"https://openalex.org/I125839683","display_name":"Beijing Institute of Technology","ror":"https://ror.org/01skt4w74","country_code":"CN","type":"education","lineage":["https://openalex.org/I125839683","https://openalex.org/I890469752"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Guoren Wang","raw_affiliation_strings":["Beijing Institute of Technology, Beijing, China"],"raw_orcid":"https://orcid.org/0000-0002-0181-8379","affiliations":[{"raw_affiliation_string":"Beijing Institute of Technology, Beijing, China","institution_ids":["https://openalex.org/I125839683"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I125839683"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.20053316,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"38","issue":"5","first_page":"3095","last_page":"3108"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12808","display_name":"Ferroelectric and Negative Capacitance Devices","score":0.09149999916553497,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12808","display_name":"Ferroelectric and Negative Capacitance Devices","score":0.09149999916553497,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10363","display_name":"Low-power high-performance VLSI design","score":0.04600000008940697,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10054","display_name":"Parallel Computing and Optimization Techniques","score":0.029200000688433647,"subfield":{"id":"https://openalex.org/subfields/1708","display_name":"Hardware and Architecture"},"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/centrality","display_name":"Centrality","score":0.6348999738693237},{"id":"https://openalex.org/keywords/scaling","display_name":"Scaling","score":0.6021999716758728},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5860000252723694},{"id":"https://openalex.org/keywords/closeness","display_name":"Closeness","score":0.5649999976158142},{"id":"https://openalex.org/keywords/multidimensional-scaling","display_name":"Multidimensional scaling","score":0.3833000063896179},{"id":"https://openalex.org/keywords/electronic-mail","display_name":"Electronic mail","score":0.32260000705718994}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7523000240325928},{"id":"https://openalex.org/C53811970","wikidata":"https://www.wikidata.org/wiki/Q5062194","display_name":"Centrality","level":2,"score":0.6348999738693237},{"id":"https://openalex.org/C99844830","wikidata":"https://www.wikidata.org/wiki/Q102441924","display_name":"Scaling","level":2,"score":0.6021999716758728},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5860000252723694},{"id":"https://openalex.org/C2779545769","wikidata":"https://www.wikidata.org/wiki/Q5135364","display_name":"Closeness","level":2,"score":0.5649999976158142},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.5031999945640564},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3894999921321869},{"id":"https://openalex.org/C91682802","wikidata":"https://www.wikidata.org/wiki/Q620538","display_name":"Multidimensional scaling","level":2,"score":0.3833000063896179},{"id":"https://openalex.org/C3020028006","wikidata":"https://www.wikidata.org/wiki/Q9158","display_name":"Electronic mail","level":2,"score":0.32260000705718994},{"id":"https://openalex.org/C106516650","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm design","level":2,"score":0.3102000057697296},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2849000096321106},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.2757999897003174},{"id":"https://openalex.org/C67186912","wikidata":"https://www.wikidata.org/wiki/Q367664","display_name":"Data modeling","level":2,"score":0.27459999918937683},{"id":"https://openalex.org/C153046414","wikidata":"https://www.wikidata.org/wiki/Q12482","display_name":"Set theory","level":3,"score":0.2540000081062317}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tkde.2026.3670233","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tkde.2026.3670233","pdf_url":null,"source":{"id":"https://openalex.org/S30698027","display_name":"IEEE Transactions on Knowledge and Data Engineering","issn_l":"1041-4347","issn":["1041-4347","1558-2191","2326-3865"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320439","host_organization_name":"IEEE Computer Society","host_organization_lineage":["https://openalex.org/P4310320439","https://openalex.org/P4310319808"],"host_organization_lineage_names":["IEEE Computer Society","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 Knowledge and Data Engineering","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"Electrical":[0],"closeness":[1,17,155],"centrality":[2,9,18],"is":[3,77,104],"a":[4,63,69],"classical":[5],"and":[6,87,130,188],"robust":[7],"graph":[8,38],"measure.":[10],"However,":[11],"existing":[12],"algorithms":[13,150,164],"for":[14,23,55,151],"computing":[15],"electrical":[16,154],"are":[19],"often":[20],"computationally":[21],"expensive":[22],"large":[24],"graphs,":[25],"as":[26,42],"they":[27],"require":[28],"determining":[29],"the":[30,34,37,66,81,90,136,160],"diagonal":[31],"elements":[32],"of":[33,36,68,101,121,138,162,182],"pseudo-inverse":[35],"Laplacian":[39,70,92],"matrix,":[40],"denoted":[41],"<inline-formula":[43,57,72,82,94,106,122],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[44,58,73,83,95,107,123],"xmlns:xlink=\"http://www.w3.org/1999/xlink\"><tex-math":[45,59,74,84,96,108,124],"notation=\"LaTeX\">$L^\\dagger$</tex-math></inline-formula>.":[46],"To":[47],"address":[48],"this":[49,102],"challenge,":[50],"we":[51,116,147],"propose":[52],"novel":[53,119],"solutions":[54],"approximating":[56,153],"notation=\"LaTeX\">$L^\\dagger$</tex-math></inline-formula>":[60],"by":[61,79,179],"establishing":[62],"connection":[64,103],"with":[65],"inverse":[67],"submatrix":[71],"notation=\"LaTeX\">$L_{v}$</tex-math></inline-formula>,":[75],"which":[76,134],"obtained":[78],"removing":[80],"notation=\"LaTeX\">$v$</tex-math></inline-formula>-th":[85],"row":[86],"column":[88],"from":[89],"original":[91],"matrix":[93],"notation=\"LaTeX\">$L$</tex-math></inline-formula>.":[97],"A":[98],"key":[99],"advantage":[100],"that":[105,172],"notation=\"LaTeX\">$L_{v}^{-1}$</tex-math></inline-formula>":[109,125],"admits":[110],"various":[111],"insightful":[112],"combinatorial":[113],"interpretations.":[114],"Specifically,":[115],"present":[117],"two":[118,149],"interpretations":[120],"based":[126],"on":[127,165],"spanning":[128],"trees":[129],"loop-erased":[131],"random":[132],"walks,":[133],"facilitate":[135],"development":[137],"efficient":[139],"sampling":[140],"algorithms.":[141],"Building":[142],"upon":[143],"these":[144],"theoretical":[145],"insights,":[146],"introduce":[148],"efficiently":[152],"centrality.":[156],"We":[157],"extensively":[158],"evaluate":[159],"performance":[161],"our":[163,173],"five":[166],"real-world":[167],"datasets.":[168],"Experimental":[169],"results":[170],"demonstrate":[171],"approaches":[174],"significantly":[175],"outperform":[176],"state-of-the-art":[177],"methods":[178],"several":[180],"orders":[181],"magnitude":[183],"in":[184],"both":[185],"running":[186],"time":[187],"estimation":[189],"accuracy.":[190]},"counts_by_year":[],"updated_date":"2026-04-11T06:13:24.991567","created_date":"2026-03-05T00:00:00"}