{"id":"https://openalex.org/W4414337924","doi":"https://doi.org/10.1137/24m1690849","title":"Enforcing Katz and PageRank Centrality Measures in Complex Networks","display_name":"Enforcing Katz and PageRank Centrality Measures in Complex Networks","publication_year":2025,"publication_date":"2025-09-18","ids":{"openalex":"https://openalex.org/W4414337924","doi":"https://doi.org/10.1137/24m1690849"},"language":"en","primary_location":{"id":"doi:10.1137/24m1690849","is_oa":true,"landing_page_url":"https://doi.org/10.1137/24m1690849","pdf_url":null,"source":{"id":"https://openalex.org/S4210229561","display_name":"SIAM Journal on Mathematics of Data Science","issn_l":"2577-0187","issn":["2577-0187"],"is_oa":true,"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 Mathematics of Data Science","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://doi.org/10.1137/24m1690849","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5034357316","display_name":"Stefano Cipolla","orcid":"https://orcid.org/0000-0002-8000-4719"},"institutions":[{"id":"https://openalex.org/I43439940","display_name":"University of Southampton","ror":"https://ror.org/01ryk1543","country_code":"GB","type":"education","lineage":["https://openalex.org/I43439940"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Stefano Cipolla","raw_affiliation_strings":["School of Mathematical Sciences, University of Southampton, Southampton, UK"],"raw_orcid":"https://orcid.org/0000-0002-8000-4719","affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, University of Southampton, Southampton, UK","institution_ids":["https://openalex.org/I43439940"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5018974435","display_name":"Fabio Durastante","orcid":"https://orcid.org/0000-0002-1412-8289"},"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":"Fabio Durastante","raw_affiliation_strings":["Department of Mathematics, University of Pisa, Pisa, Italy"],"raw_orcid":"https://orcid.org/0000-0002-1412-8289","affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Pisa, Pisa, Italy","institution_ids":["https://openalex.org/I108290504"]}]},{"author_position":"last","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":["Department of Mathematics, University of Pisa, Pisa, Italy"],"raw_orcid":"https://orcid.org/0000-0003-3139-2513","affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Pisa, Pisa, Italy","institution_ids":["https://openalex.org/I108290504"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5034357316"],"corresponding_institution_ids":["https://openalex.org/I43439940"],"apc_list":null,"apc_paid":null,"fwci":2.3609,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.89746777,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":96},"biblio":{"volume":"7","issue":"3","first_page":"1514","last_page":"1539"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10064","display_name":"Complex Network Analysis Techniques","score":0.9991999864578247,"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":0.9991999864578247,"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":0.9966999888420105,"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/T11031","display_name":"Game Theory and Applications","score":0.974399983882904,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/centrality","display_name":"Centrality","score":0.9085000157356262},{"id":"https://openalex.org/keywords/pagerank","display_name":"PageRank","score":0.8998000025749207},{"id":"https://openalex.org/keywords/complex-network","display_name":"Complex network","score":0.6588000059127808},{"id":"https://openalex.org/keywords/network-science","display_name":"Network science","score":0.5241000056266785},{"id":"https://openalex.org/keywords/katz-centrality","display_name":"Katz centrality","score":0.5200999975204468},{"id":"https://openalex.org/keywords/focus","display_name":"Focus (optics)","score":0.5178999900817871},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.49559998512268066},{"id":"https://openalex.org/keywords/complex-system","display_name":"Complex system","score":0.4390999972820282}],"concepts":[{"id":"https://openalex.org/C53811970","wikidata":"https://www.wikidata.org/wiki/Q5062194","display_name":"Centrality","level":2,"score":0.9085000157356262},{"id":"https://openalex.org/C2779172887","wikidata":"https://www.wikidata.org/wiki/Q184316","display_name":"PageRank","level":2,"score":0.8998000025749207},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6664000153541565},{"id":"https://openalex.org/C34947359","wikidata":"https://www.wikidata.org/wiki/Q665189","display_name":"Complex network","level":2,"score":0.6588000059127808},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.5432999730110168},{"id":"https://openalex.org/C137753397","wikidata":"https://www.wikidata.org/wiki/Q2434424","display_name":"Network science","level":3,"score":0.5241000056266785},{"id":"https://openalex.org/C131349576","wikidata":"https://www.wikidata.org/wiki/Q6378571","display_name":"Katz centrality","level":4,"score":0.5200999975204468},{"id":"https://openalex.org/C192209626","wikidata":"https://www.wikidata.org/wiki/Q190909","display_name":"Focus (optics)","level":2,"score":0.5178999900817871},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.49559998512268066},{"id":"https://openalex.org/C47822265","wikidata":"https://www.wikidata.org/wiki/Q854457","display_name":"Complex system","level":2,"score":0.4390999972820282},{"id":"https://openalex.org/C146380142","wikidata":"https://www.wikidata.org/wiki/Q1137726","display_name":"Directed graph","level":2,"score":0.42329999804496765},{"id":"https://openalex.org/C32946077","wikidata":"https://www.wikidata.org/wiki/Q618079","display_name":"Network analysis","level":2,"score":0.4162999987602234},{"id":"https://openalex.org/C106937863","wikidata":"https://www.wikidata.org/wiki/Q7236518","display_name":"Power graph analysis","level":3,"score":0.3978999853134155},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.3736000061035156},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.3668000102043152},{"id":"https://openalex.org/C88230418","wikidata":"https://www.wikidata.org/wiki/Q131476","display_name":"Graph theory","level":2,"score":0.3659000098705292},{"id":"https://openalex.org/C11804174","wikidata":"https://www.wikidata.org/wiki/Q1192971","display_name":"Network theory","level":2,"score":0.3411000072956085},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.33469998836517334},{"id":"https://openalex.org/C2988224531","wikidata":"https://www.wikidata.org/wiki/Q20830730","display_name":"Network structure","level":2,"score":0.3292999863624573},{"id":"https://openalex.org/C117045392","wikidata":"https://www.wikidata.org/wiki/Q4899215","display_name":"Betweenness centrality","level":3,"score":0.30309998989105225},{"id":"https://openalex.org/C2778755073","wikidata":"https://www.wikidata.org/wiki/Q10858537","display_name":"Scale (ratio)","level":2,"score":0.2955999970436096},{"id":"https://openalex.org/C177918212","wikidata":"https://www.wikidata.org/wiki/Q803623","display_name":"Perturbation (astronomy)","level":2,"score":0.2863999903202057},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.28380000591278076},{"id":"https://openalex.org/C123138037","wikidata":"https://www.wikidata.org/wiki/Q5570871","display_name":"Global network","level":2,"score":0.25679999589920044}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/24m1690849","is_oa":true,"landing_page_url":"https://doi.org/10.1137/24m1690849","pdf_url":null,"source":{"id":"https://openalex.org/S4210229561","display_name":"SIAM Journal on Mathematics of Data Science","issn_l":"2577-0187","issn":["2577-0187"],"is_oa":true,"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 Mathematics of Data Science","raw_type":"journal-article"},{"id":"pmh:oai:arpi.unipi.it:11568/1328647","is_oa":false,"landing_page_url":"https://epubs.siam.org/doi/full/10.1137/24M1690849","pdf_url":null,"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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.1137/24m1690849","is_oa":true,"landing_page_url":"https://doi.org/10.1137/24m1690849","pdf_url":null,"source":{"id":"https://openalex.org/S4210229561","display_name":"SIAM Journal on Mathematics of Data Science","issn_l":"2577-0187","issn":["2577-0187"],"is_oa":true,"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 Mathematics of Data Science","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W265316680","https://openalex.org/W573636968","https://openalex.org/W1819827759","https://openalex.org/W2016170913","https://openalex.org/W2026417691","https://openalex.org/W2026950860","https://openalex.org/W2080397156","https://openalex.org/W2087635628","https://openalex.org/W2135046866","https://openalex.org/W2341112116","https://openalex.org/W2963615156","https://openalex.org/W2964046693","https://openalex.org/W2964164193","https://openalex.org/W3101344794","https://openalex.org/W3133669662","https://openalex.org/W4362633406","https://openalex.org/W4388805877","https://openalex.org/W4389664861","https://openalex.org/W4391651278","https://openalex.org/W4404283683"],"related_works":[],"abstract_inverted_index":{"We":[0],"investigate":[1],"the":[2,16,20,25,40,44,57,68,74],"problem":[3],"of":[4,19,70,76],"enforcing":[5],"a":[6,28,49],"desired":[7],"centrality":[8,54],"measure":[9],"in":[10],"complex":[11],"networks,":[12],"while":[13],"still":[14],"keeping":[15],"original":[17],"pattern":[18],"network.":[21],"Specifically,":[22],"by":[23],"representing":[24],"network":[26,81],"as":[27],"graph":[29],"with":[30,67],"suitable":[31],"nodes":[32],"and":[33,79,83],"weighted":[34],"edges,":[35,72],"we":[36],"focus":[37],"on":[38,43,62],"computing":[39],"smallest":[41],"perturbation":[42],"weights":[45],"required":[46],"to":[47],"obtain":[48],"prescribed":[50],"PageRank":[51],"or":[52],"Katz":[53],"index":[55],"for":[56],"nodes.":[58],"Our":[59],"approach":[60],"relies":[61],"optimization":[63],"procedures":[64],"that":[65],"scale":[66],"number":[69],"modified":[71],"enabling":[73],"exploration":[75],"different":[77],"scenarios":[78],"altering":[80],"structure":[82],"dynamics.":[84]},"counts_by_year":[{"year":2025,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
