{"id":"https://openalex.org/W2808428979","doi":"https://doi.org/10.24963/ijcai.2018/503","title":"Biharmonic Distance Related Centrality for Edges in Weighted Networks","display_name":"Biharmonic Distance Related Centrality for Edges in Weighted Networks","publication_year":2018,"publication_date":"2018-07-01","ids":{"openalex":"https://openalex.org/W2808428979","doi":"https://doi.org/10.24963/ijcai.2018/503","mag":"2808428979"},"language":"en","primary_location":{"id":"doi:10.24963/ijcai.2018/503","is_oa":false,"landing_page_url":"https://doi.org/10.24963/ijcai.2018/503","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the Twenty-Seventh International Joint Conference on Artificial Intelligence","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/A5062353872","display_name":"Yuhao Yi","orcid":"https://orcid.org/0000-0001-6036-0276"},"institutions":[{"id":"https://openalex.org/I24943067","display_name":"Fudan University","ror":"https://ror.org/013q1eq08","country_code":"CN","type":"education","lineage":["https://openalex.org/I24943067"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yuhao Yi","raw_affiliation_strings":["School of Computer Science, Fudan University","Shanghai Key Laboratory of Intelligent Information Processing, Fudan University","Shanghai Key Laboratory of Intelligent Information Processing, Fudan University, China","School of Computer Science, Fudan University, China"],"affiliations":[{"raw_affiliation_string":"School of Computer Science, Fudan University","institution_ids":["https://openalex.org/I24943067"]},{"raw_affiliation_string":"Shanghai Key Laboratory of Intelligent Information Processing, Fudan University","institution_ids":["https://openalex.org/I24943067"]},{"raw_affiliation_string":"Shanghai Key Laboratory of Intelligent Information Processing, Fudan University, China","institution_ids":["https://openalex.org/I24943067"]},{"raw_affiliation_string":"School of Computer Science, Fudan University, China","institution_ids":["https://openalex.org/I24943067"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5045187487","display_name":"Liren Shan","orcid":"https://orcid.org/0000-0002-4273-3005"},"institutions":[{"id":"https://openalex.org/I24943067","display_name":"Fudan University","ror":"https://ror.org/013q1eq08","country_code":"CN","type":"education","lineage":["https://openalex.org/I24943067"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Liren Shan","raw_affiliation_strings":["School of Computer Science, Fudan University","Shanghai Key Laboratory of Intelligent Information Processing, Fudan University","Shanghai Key Laboratory of Intelligent Information Processing, Fudan University, China","School of Computer Science, Fudan University, China"],"affiliations":[{"raw_affiliation_string":"School of Computer Science, Fudan University","institution_ids":["https://openalex.org/I24943067"]},{"raw_affiliation_string":"Shanghai Key Laboratory of Intelligent Information Processing, Fudan University","institution_ids":["https://openalex.org/I24943067"]},{"raw_affiliation_string":"Shanghai Key Laboratory of Intelligent Information Processing, Fudan University, China","institution_ids":["https://openalex.org/I24943067"]},{"raw_affiliation_string":"School of Computer Science, Fudan University, China","institution_ids":["https://openalex.org/I24943067"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100319233","display_name":"Huan Li","orcid":"https://orcid.org/0000-0002-7840-1053"},"institutions":[{"id":"https://openalex.org/I24943067","display_name":"Fudan University","ror":"https://ror.org/013q1eq08","country_code":"CN","type":"education","lineage":["https://openalex.org/I24943067"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Huan Li","raw_affiliation_strings":["School of Computer Science, Fudan University","Shanghai Key Laboratory of Intelligent Information Processing, Fudan University","Shanghai Key Laboratory of Intelligent Information Processing, Fudan University, China","School of Computer Science, Fudan University, China"],"affiliations":[{"raw_affiliation_string":"School of Computer Science, Fudan University","institution_ids":["https://openalex.org/I24943067"]},{"raw_affiliation_string":"Shanghai Key Laboratory of Intelligent Information Processing, Fudan University","institution_ids":["https://openalex.org/I24943067"]},{"raw_affiliation_string":"Shanghai Key Laboratory of Intelligent Information Processing, Fudan University, China","institution_ids":["https://openalex.org/I24943067"]},{"raw_affiliation_string":"School of Computer Science, Fudan University, China","institution_ids":["https://openalex.org/I24943067"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5067533846","display_name":"Zhongzhi Zhang","orcid":"https://orcid.org/0000-0003-1260-2079"},"institutions":[{"id":"https://openalex.org/I24943067","display_name":"Fudan University","ror":"https://ror.org/013q1eq08","country_code":"CN","type":"education","lineage":["https://openalex.org/I24943067"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhongzhi Zhang","raw_affiliation_strings":["School of Computer Science, Fudan University","Shanghai Key Laboratory of Intelligent Information Processing, Fudan University","Shanghai Key Laboratory of Intelligent Information Processing, Fudan University, China","School of Computer Science, Fudan University, China"],"affiliations":[{"raw_affiliation_string":"School of Computer Science, Fudan University","institution_ids":["https://openalex.org/I24943067"]},{"raw_affiliation_string":"Shanghai Key Laboratory of Intelligent Information Processing, Fudan University","institution_ids":["https://openalex.org/I24943067"]},{"raw_affiliation_string":"Shanghai Key Laboratory of Intelligent Information Processing, Fudan University, China","institution_ids":["https://openalex.org/I24943067"]},{"raw_affiliation_string":"School of Computer Science, Fudan University, China","institution_ids":["https://openalex.org/I24943067"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5062353872"],"corresponding_institution_ids":["https://openalex.org/I24943067"],"apc_list":null,"apc_paid":null,"fwci":0.6033,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.66776003,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"3620","last_page":"3626"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10064","display_name":"Complex Network Analysis Techniques","score":0.9994000196456909,"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":0.9994000196456909,"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":0.9916999936103821,"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"}},{"id":"https://openalex.org/T12536","display_name":"Topological and Geometric Data Analysis","score":0.9674000144004822,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/biharmonic-equation","display_name":"Biharmonic equation","score":0.9735406041145325},{"id":"https://openalex.org/keywords/betweenness-centrality","display_name":"Betweenness centrality","score":0.8749730587005615},{"id":"https://openalex.org/keywords/centrality","display_name":"Centrality","score":0.8745602369308472},{"id":"https://openalex.org/keywords/enhanced-data-rates-for-gsm-evolution","display_name":"Enhanced Data Rates for GSM Evolution","score":0.6366258263587952},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5785430669784546},{"id":"https://openalex.org/keywords/power-index","display_name":"Power index","score":0.4677826166152954},{"id":"https://openalex.org/keywords/index","display_name":"Index (typography)","score":0.4120672941207886},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3555786609649658},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.34730663895606995},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.34072935581207275},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.19045096635818481},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1586500108242035}],"concepts":[{"id":"https://openalex.org/C145784156","wikidata":"https://www.wikidata.org/wiki/Q859808","display_name":"Biharmonic equation","level":3,"score":0.9735406041145325},{"id":"https://openalex.org/C117045392","wikidata":"https://www.wikidata.org/wiki/Q4899215","display_name":"Betweenness centrality","level":3,"score":0.8749730587005615},{"id":"https://openalex.org/C53811970","wikidata":"https://www.wikidata.org/wiki/Q5062194","display_name":"Centrality","level":2,"score":0.8745602369308472},{"id":"https://openalex.org/C162307627","wikidata":"https://www.wikidata.org/wiki/Q204833","display_name":"Enhanced Data Rates for GSM Evolution","level":2,"score":0.6366258263587952},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5785430669784546},{"id":"https://openalex.org/C3018596841","wikidata":"https://www.wikidata.org/wiki/Q7236523","display_name":"Power index","level":2,"score":0.4677826166152954},{"id":"https://openalex.org/C2777382242","wikidata":"https://www.wikidata.org/wiki/Q6017816","display_name":"Index (typography)","level":2,"score":0.4120672941207886},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3555786609649658},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.34730663895606995},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.34072935581207275},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.19045096635818481},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1586500108242035},{"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/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.0},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.24963/ijcai.2018/503","is_oa":false,"landing_page_url":"https://doi.org/10.24963/ijcai.2018/503","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the Twenty-Seventh International Joint Conference on Artificial Intelligence","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","score":0.7099999785423279,"display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W160678529","https://openalex.org/W1527104720","https://openalex.org/W1967140769","https://openalex.org/W1971421925","https://openalex.org/W1974483655","https://openalex.org/W1996014455","https://openalex.org/W1998200279","https://openalex.org/W2000587848","https://openalex.org/W2015953751","https://openalex.org/W2045107949","https://openalex.org/W2053171205","https://openalex.org/W2094234423","https://openalex.org/W2096646197","https://openalex.org/W2112090702","https://openalex.org/W2123196001","https://openalex.org/W2125315567","https://openalex.org/W2171707538","https://openalex.org/W2195052264","https://openalex.org/W2574471465","https://openalex.org/W2748196059","https://openalex.org/W2963324223","https://openalex.org/W2963874854","https://openalex.org/W3104175967","https://openalex.org/W4233769451"],"related_works":["https://openalex.org/W1973509935","https://openalex.org/W4389076551","https://openalex.org/W2107855069","https://openalex.org/W2611574733","https://openalex.org/W2241641394","https://openalex.org/W2514739320","https://openalex.org/W2097992793","https://openalex.org/W2140653560","https://openalex.org/W2348831795","https://openalex.org/W4312461432"],"abstract_inverted_index":{"The":[0],"Kirchhoff":[1,37,72],"index,":[2],"defined":[3],"as":[4,50,92,113],"the":[5,32,36,43,68,71,80,140,151,156],"sum":[6],"of":[7,13,16,22,45,47,53,70,79,129,139,142,155],"effective":[8],"resistances":[9],"over":[10],"pairs":[11],"all":[12,133],"nodes,":[14,86],"is":[15],"primary":[17],"significance":[18],"in":[19,58,77,135],"diverse":[20],"contexts":[21],"complex":[23],"networks.":[24,60],"In":[25],"this":[26,56,90],"paper,":[27],"we":[28,65],"propose":[29],"to":[30,42],"use":[31],"rate":[33],"at":[34],"which":[35],"index":[38,73],"changes":[39],"with":[40,144],"respect":[41],"change":[44,69],"resistance":[46],"an":[48,62,122,127],"edge":[49,57,114,118],"a":[51,103,145],"measure":[52],"importance":[54],"for":[55,132],"weighted":[59],"For":[61],"arbitrary":[63],"edge,":[64],"explicitly":[66],"determine":[67],"and":[74,87,116,153],"express":[75],"it":[76],"terms":[78],"biharmonic":[81,93,130],"distance":[82,94,131],"between":[83],"its":[84],"end":[85],"thus":[88],"call":[89],"centrality":[91,96],"related":[95],"(BDRC).":[97],"We":[98,120],"show":[99],"that":[100,125],"BDRC":[101],"has":[102],"better":[104],"discriminating":[105],"power":[106],"than":[107],"those":[108],"commonly":[109],"used":[110],"metrics,":[111],"such":[112],"betweenness":[115],"spanning":[117],"centrality.":[119],"give":[121],"efficient":[123],"algorithm":[124],"provides":[126],"approximation":[128],"edges":[134],"nearly":[136],"linear":[137],"time":[138],"number":[141],"edges,":[143],"high":[146],"probability.":[147],"Experiment":[148],"results":[149],"validate":[150],"efficiency":[152],"accuracy":[154],"presented":[157],"algorithm.":[158]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":3},{"year":2021,"cited_by_count":4}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}