{"id":"https://openalex.org/W4377087930","doi":"https://doi.org/10.1137/22m1486728","title":"An Edge Centrality Measure Based on the Kemeny Constant","display_name":"An Edge Centrality Measure Based on the Kemeny Constant","publication_year":2023,"publication_date":"2023-05-19","ids":{"openalex":"https://openalex.org/W4377087930","doi":"https://doi.org/10.1137/22m1486728"},"language":"en","primary_location":{"id":"doi:10.1137/22m1486728","is_oa":false,"landing_page_url":"https://doi.org/10.1137/22m1486728","pdf_url":null,"source":{"id":"https://openalex.org/S16958353","display_name":"SIAM Journal on Matrix Analysis and Applications","issn_l":"0895-4798","issn":["0895-4798","1095-7162"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Matrix Analysis and Applications","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arpi.unipi.it/bitstream/11568/1170026/2/Poloni_1170026.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5034349714","display_name":"Diego Altafini","orcid":"https://orcid.org/0000-0002-6559-2372"},"institutions":[{"id":"https://openalex.org/I4210139705","display_name":"Ingegneria dei Sistemi (Italy)","ror":"https://ror.org/03spsm219","country_code":"IT","type":"company","lineage":["https://openalex.org/I4210139705"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Diego Altafini","raw_affiliation_strings":["Dipartimento di Ingegneria dell\u2019Energia, dei Sistemi, del Territorio e delle Costruzioni, Universit\u00e0 di Pisa, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Ingegneria dell\u2019Energia, dei Sistemi, del Territorio e delle Costruzioni, Universit\u00e0 di Pisa, Italy","institution_ids":["https://openalex.org/I4210139705"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5023356208","display_name":"Dario A. Bini","orcid":"https://orcid.org/0000-0002-5885-9411"},"institutions":[{"id":"https://openalex.org/I108290504","display_name":"University of Pisa","ror":"https://ror.org/03ad39j10","country_code":"IT","type":"education","lineage":["https://openalex.org/I108290504"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Dario A. Bini","raw_affiliation_strings":["Dipartimento di Matematica, Universit\u00e0 di Pisa, Italy"],"raw_orcid":"https://orcid.org/0000-0002-5885-9411","affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica, Universit\u00e0 di Pisa, Italy","institution_ids":["https://openalex.org/I108290504"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5067127853","display_name":"Valerio Cutini","orcid":"https://orcid.org/0000-0003-4065-6226"},"institutions":[{"id":"https://openalex.org/I4210139705","display_name":"Ingegneria dei Sistemi (Italy)","ror":"https://ror.org/03spsm219","country_code":"IT","type":"company","lineage":["https://openalex.org/I4210139705"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Valerio Cutini","raw_affiliation_strings":["Dipartimento di Ingegneria dell\u2019Energia, dei Sistemi, del Territorio e delle Costruzioni, Universit\u00e0 di Pisa, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Ingegneria dell\u2019Energia, dei Sistemi, del Territorio e delle Costruzioni, Universit\u00e0 di Pisa, Italy","institution_ids":["https://openalex.org/I4210139705"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5000363133","display_name":"Beatrice Meini","orcid":"https://orcid.org/0000-0003-3139-2513"},"institutions":[{"id":"https://openalex.org/I108290504","display_name":"University of Pisa","ror":"https://ror.org/03ad39j10","country_code":"IT","type":"education","lineage":["https://openalex.org/I108290504"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Beatrice Meini","raw_affiliation_strings":["Dipartimento di Matematica, Universit\u00e0 di Pisa, Italy"],"raw_orcid":"https://orcid.org/0000-0003-3139-2513","affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica, Universit\u00e0 di Pisa, Italy","institution_ids":["https://openalex.org/I108290504"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5031634329","display_name":"Federico Poloni","orcid":"https://orcid.org/0000-0003-2291-990X"},"institutions":[{"id":"https://openalex.org/I108290504","display_name":"University of Pisa","ror":"https://ror.org/03ad39j10","country_code":"IT","type":"education","lineage":["https://openalex.org/I108290504"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Federico Poloni","raw_affiliation_strings":["Dipartimento di Informatica, Universit\u00e0 di Pisa, Italy"],"raw_orcid":"https://orcid.org/0000-0003-2291-990X","affiliations":[{"raw_affiliation_string":"Dipartimento di Informatica, Universit\u00e0 di Pisa, Italy","institution_ids":["https://openalex.org/I108290504"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5034349714"],"corresponding_institution_ids":["https://openalex.org/I4210139705"],"apc_list":null,"apc_paid":null,"fwci":7.4173,"has_fulltext":true,"cited_by_count":14,"citation_normalized_percentile":{"value":0.98262703,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"44","issue":"2","first_page":"648","last_page":"669"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11476","display_name":"Graph theory and applications","score":0.9975000023841858,"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"}},"topics":[{"id":"https://openalex.org/T11476","display_name":"Graph theory and applications","score":0.9975000023841858,"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/T10064","display_name":"Complex Network Analysis Techniques","score":0.9945999979972839,"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/T12536","display_name":"Topological and Geometric Data Analysis","score":0.9663000106811523,"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/mathematics","display_name":"Mathematics","score":0.80829918384552},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.7247791290283203},{"id":"https://openalex.org/keywords/centrality","display_name":"Centrality","score":0.6488045454025269},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.6442786455154419},{"id":"https://openalex.org/keywords/enhanced-data-rates-for-gsm-evolution","display_name":"Enhanced Data Rates for GSM Evolution","score":0.49186158180236816},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.38994961977005005},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.32640141248703003},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.13038235902786255},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.10604351758956909},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.09457007050514221}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.80829918384552},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.7247791290283203},{"id":"https://openalex.org/C53811970","wikidata":"https://www.wikidata.org/wiki/Q5062194","display_name":"Centrality","level":2,"score":0.6488045454025269},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.6442786455154419},{"id":"https://openalex.org/C162307627","wikidata":"https://www.wikidata.org/wiki/Q204833","display_name":"Enhanced Data Rates for GSM Evolution","level":2,"score":0.49186158180236816},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.38994961977005005},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.32640141248703003},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.13038235902786255},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.10604351758956909},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.09457007050514221},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1137/22m1486728","is_oa":false,"landing_page_url":"https://doi.org/10.1137/22m1486728","pdf_url":null,"source":{"id":"https://openalex.org/S16958353","display_name":"SIAM Journal on Matrix Analysis and Applications","issn_l":"0895-4798","issn":["0895-4798","1095-7162"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Matrix Analysis and Applications","raw_type":"journal-article"},{"id":"pmh:oai:arpi.unipi.it:11568/1170026","is_oa":true,"landing_page_url":"https://hdl.handle.net/11568/1170026","pdf_url":"https://arpi.unipi.it/bitstream/11568/1170026/2/Poloni_1170026.pdf","source":{"id":"https://openalex.org/S4377196265","display_name":"CINECA IRIS Institutial research information system (University of Pisa)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I108290504","host_organization_name":"University of Pisa","host_organization_lineage":["https://openalex.org/I108290504"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:https://orca.cardiff.ac.uk:168512","is_oa":true,"landing_page_url":null,"pdf_url":"https://orca.cardiff.ac.uk/id/eprint/168512/1/An%20edge%20centrality%20measure%20based%20on%20the%20kemeny%20constant.pdf","source":{"id":"https://openalex.org/S4306401195","display_name":"ORCA Online Research @Cardiff (Cardiff University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I79510175","host_organization_name":"Cardiff University","host_organization_lineage":["https://openalex.org/I79510175"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"PeerReviewed"}],"best_oa_location":{"id":"pmh:oai:arpi.unipi.it:11568/1170026","is_oa":true,"landing_page_url":"https://hdl.handle.net/11568/1170026","pdf_url":"https://arpi.unipi.it/bitstream/11568/1170026/2/Poloni_1170026.pdf","source":{"id":"https://openalex.org/S4377196265","display_name":"CINECA IRIS Institutial research information system (University of Pisa)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I108290504","host_organization_name":"University of Pisa","host_organization_lineage":["https://openalex.org/I108290504"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities","score":0.6200000047683716}],"awards":[{"id":"https://openalex.org/G2673842690","display_name":null,"funder_award_id":"PRA_2020_61","funder_id":"https://openalex.org/F4320324499","funder_display_name":"Universit\u00e0 di Pisa"},{"id":"https://openalex.org/G5335723795","display_name":null,"funder_award_id":"PRA 2020 61","funder_id":"https://openalex.org/F4320324499","funder_display_name":"Universit\u00e0 di Pisa"},{"id":"https://openalex.org/G8175194624","display_name":null,"funder_award_id":"PRA 2020","funder_id":"https://openalex.org/F4320324499","funder_display_name":"Universit\u00e0 di Pisa"}],"funders":[{"id":"https://openalex.org/F4320311030","display_name":"Istituto Nazionale di Alta Matematica \"Francesco Severi\"","ror":"https://ror.org/01vx64p53"},{"id":"https://openalex.org/F4320324499","display_name":"Universit\u00e0 di Pisa","ror":"https://ror.org/03ad39j10"},{"id":"https://openalex.org/F4320334079","display_name":"Gruppo Nazionale per il Calcolo Scientifico","ror":null}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4377087930.pdf","grobid_xml":"https://content.openalex.org/works/W4377087930.grobid-xml"},"referenced_works_count":23,"referenced_works":["https://openalex.org/W1503346339","https://openalex.org/W1830307536","https://openalex.org/W1971421925","https://openalex.org/W1993286459","https://openalex.org/W2028836627","https://openalex.org/W2036995503","https://openalex.org/W2109469951","https://openalex.org/W2118966355","https://openalex.org/W2148927316","https://openalex.org/W2547622922","https://openalex.org/W2920796460","https://openalex.org/W2934399454","https://openalex.org/W2943011962","https://openalex.org/W2962931231","https://openalex.org/W2983396602","https://openalex.org/W3086898416","https://openalex.org/W3106147091","https://openalex.org/W3181585912","https://openalex.org/W3196993664","https://openalex.org/W4221064258","https://openalex.org/W4230164823","https://openalex.org/W4231748513","https://openalex.org/W4255333822"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W4229078645","https://openalex.org/W1977345676","https://openalex.org/W4282032776","https://openalex.org/W2047552823","https://openalex.org/W4321606905","https://openalex.org/W3130445735","https://openalex.org/W2105110616","https://openalex.org/W2747930654","https://openalex.org/W2739658809"],"abstract_inverted_index":{"A":[0,51],"new":[1,37],"measure":[2,38,88],"$c(e)$":[3,56],"of":[4,7,24,28,103],"the":[5,22,25,29,33,46,101,104],"centrality":[6],"an":[8,12],"edge":[9,34],"$e$":[10],"in":[11,41,65,92],"undirected":[13],"graph":[14,30],"$G$":[15],"is":[16,19,39,49,57,63,89],"introduced.":[17],"It":[18],"based":[20],"on":[21,77,81],"variation":[23],"Kemeny":[26],"constant":[27],"after":[31],"removing":[32],"$e$.":[35],"The":[36],"designed":[40,64],"such":[42],"a":[43,60],"way":[44],"that":[45,86],"Braess":[47],"paradox":[48],"avoided.":[50],"numerical":[52],"method":[53],"for":[54],"computing":[55],"introduced":[58],"and":[59,71,80],"regularization":[61],"technique":[62],"order":[66],"to":[67],"deal":[68],"with":[69],"cut-edges":[70],"disconnected":[72],"graphs.":[73],"Numerical":[74],"experiments":[75],"performed":[76],"synthetic":[78],"tests":[79],"real":[82],"road":[83],"networks":[84],"show":[85],"this":[87],"particularly":[90],"effective":[91],"revealing":[93],"bottleneck":[94],"roads":[95],"whose":[96],"removal":[97],"would":[98],"greatly":[99],"reduce":[100],"connectivity":[102],"network.":[105]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":8},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":1}],"updated_date":"2026-05-28T09:10:13.091523","created_date":"2025-10-10T00:00:00"}
