{"id":"https://openalex.org/W4414883082","doi":"https://doi.org/10.1002/cpe.70303","title":"Optimizing Combined Centrality Measures in Complex Networks via Arithmetic Optimization and Representative Graphs","display_name":"Optimizing Combined Centrality Measures in Complex Networks via Arithmetic Optimization and Representative Graphs","publication_year":2025,"publication_date":"2025-10-07","ids":{"openalex":"https://openalex.org/W4414883082","doi":"https://doi.org/10.1002/cpe.70303"},"language":"en","primary_location":{"id":"doi:10.1002/cpe.70303","is_oa":false,"landing_page_url":"https://doi.org/10.1002/cpe.70303","pdf_url":null,"source":{"id":"https://openalex.org/S11065456","display_name":"Concurrency and Computation Practice and Experience","issn_l":"1532-0626","issn":["1532-0626","1532-0634"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Concurrency and Computation: Practice and Experience","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/A5078407750","display_name":"Aybike \u015eim\u015fek","orcid":"https://orcid.org/0000-0002-1033-1597"},"institutions":[{"id":"https://openalex.org/I94871006","display_name":"Turkish Military Academy","ror":"https://ror.org/058ya6669","country_code":"TR","type":"education","lineage":["https://openalex.org/I94871006"]}],"countries":["TR"],"is_corresponding":true,"raw_author_name":"Aybike \u015eim\u015fek","raw_affiliation_strings":["Department of Computer Engineering National Defense University Turkish Military Academy  Ankara T\u00fcrkiye"],"raw_orcid":"https://orcid.org/0000-0002-1033-1597","affiliations":[{"raw_affiliation_string":"Department of Computer Engineering National Defense University Turkish Military Academy  Ankara T\u00fcrkiye","institution_ids":["https://openalex.org/I94871006"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5119872991","display_name":"Hasan H\u00fcseyin \u00c7ak\u0131r","orcid":null},"institutions":[{"id":"https://openalex.org/I140912994","display_name":"Mu\u015f Alparslan University","ror":"https://ror.org/009axq942","country_code":"TR","type":"education","lineage":["https://openalex.org/I140912994"]},{"id":"https://openalex.org/I4210147190","display_name":"Turkish Aerospace Industries (Turkey)","ror":"https://ror.org/03jjbp459","country_code":"TR","type":"company","lineage":["https://openalex.org/I4210147190"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"Hasan H\u00fcseyin \u00c7ak\u0131r","raw_affiliation_strings":["Alparslan Defence Sciences and National Security Institute  Ankara Turkey","Turkish General Staff Communication Information Systems (TGS CIS)  Ankara T\u00fcrkiye"],"raw_orcid":"https://orcid.org/0009-0001-6845-4311","affiliations":[{"raw_affiliation_string":"Alparslan Defence Sciences and National Security Institute  Ankara Turkey","institution_ids":["https://openalex.org/I140912994"]},{"raw_affiliation_string":"Turkish General Staff Communication Information Systems (TGS CIS)  Ankara T\u00fcrkiye","institution_ids":["https://openalex.org/I4210147190"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5078407750"],"corresponding_institution_ids":["https://openalex.org/I94871006"],"apc_list":{"value":4740,"currency":"USD","value_usd":4740},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.19811136,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"37","issue":"25-26","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10064","display_name":"Complex Network Analysis Techniques","score":0.9993000030517578,"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":0.9993000030517578,"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":0.9993000030517578,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9932000041007996,"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/centrality","display_name":"Centrality","score":0.9577999711036682},{"id":"https://openalex.org/keywords/node","display_name":"Node (physics)","score":0.6053000092506409},{"id":"https://openalex.org/keywords/complex-network","display_name":"Complex network","score":0.5830000042915344},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.5641999840736389},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.510200023651123},{"id":"https://openalex.org/keywords/network-science","display_name":"Network science","score":0.49869999289512634},{"id":"https://openalex.org/keywords/network-theory","display_name":"Network theory","score":0.38510000705718994},{"id":"https://openalex.org/keywords/process","display_name":"Process (computing)","score":0.3747999966144562}],"concepts":[{"id":"https://openalex.org/C53811970","wikidata":"https://www.wikidata.org/wiki/Q5062194","display_name":"Centrality","level":2,"score":0.9577999711036682},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7885000109672546},{"id":"https://openalex.org/C62611344","wikidata":"https://www.wikidata.org/wiki/Q1062658","display_name":"Node (physics)","level":2,"score":0.6053000092506409},{"id":"https://openalex.org/C34947359","wikidata":"https://www.wikidata.org/wiki/Q665189","display_name":"Complex network","level":2,"score":0.5830000042915344},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.5641999840736389},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.510200023651123},{"id":"https://openalex.org/C137753397","wikidata":"https://www.wikidata.org/wiki/Q2434424","display_name":"Network science","level":3,"score":0.49869999289512634},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4697999954223633},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.4377000033855438},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3880000114440918},{"id":"https://openalex.org/C11804174","wikidata":"https://www.wikidata.org/wiki/Q1192971","display_name":"Network theory","level":2,"score":0.38510000705718994},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.3747999966144562},{"id":"https://openalex.org/C32946077","wikidata":"https://www.wikidata.org/wiki/Q618079","display_name":"Network analysis","level":2,"score":0.365200012922287},{"id":"https://openalex.org/C131349576","wikidata":"https://www.wikidata.org/wiki/Q6378571","display_name":"Katz centrality","level":4,"score":0.3481999933719635},{"id":"https://openalex.org/C88230418","wikidata":"https://www.wikidata.org/wiki/Q131476","display_name":"Graph theory","level":2,"score":0.3312000036239624},{"id":"https://openalex.org/C28225019","wikidata":"https://www.wikidata.org/wiki/Q4915005","display_name":"Biological network","level":2,"score":0.31630000472068787},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.28850001096725464},{"id":"https://openalex.org/C117045392","wikidata":"https://www.wikidata.org/wiki/Q4899215","display_name":"Betweenness centrality","level":3,"score":0.2727999985218048},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.27230000495910645},{"id":"https://openalex.org/C114713312","wikidata":"https://www.wikidata.org/wiki/Q7551269","display_name":"Social network analysis","level":3,"score":0.27070000767707825},{"id":"https://openalex.org/C47822265","wikidata":"https://www.wikidata.org/wiki/Q854457","display_name":"Complex system","level":2,"score":0.26980000734329224},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.265500009059906},{"id":"https://openalex.org/C146380142","wikidata":"https://www.wikidata.org/wiki/Q1137726","display_name":"Directed graph","level":2,"score":0.2646999955177307},{"id":"https://openalex.org/C133079900","wikidata":"https://www.wikidata.org/wiki/Q5155065","display_name":"Community structure","level":2,"score":0.26460000872612},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.25609999895095825}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1002/cpe.70303","is_oa":false,"landing_page_url":"https://doi.org/10.1002/cpe.70303","pdf_url":null,"source":{"id":"https://openalex.org/S11065456","display_name":"Concurrency and Computation Practice and Experience","issn_l":"1532-0626","issn":["1532-0626","1532-0634"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Concurrency and Computation: Practice and Experience","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":44,"referenced_works":["https://openalex.org/W1595159159","https://openalex.org/W1890189454","https://openalex.org/W1967570846","https://openalex.org/W1971937094","https://openalex.org/W2013307517","https://openalex.org/W2026417691","https://openalex.org/W2061438946","https://openalex.org/W2083842271","https://openalex.org/W2087391635","https://openalex.org/W2127800791","https://openalex.org/W2152195021","https://openalex.org/W2290883490","https://openalex.org/W2294347342","https://openalex.org/W2315942971","https://openalex.org/W2592164301","https://openalex.org/W2744878627","https://openalex.org/W2791473713","https://openalex.org/W2803095812","https://openalex.org/W2919979744","https://openalex.org/W3006862509","https://openalex.org/W3020869967","https://openalex.org/W3037013787","https://openalex.org/W3045547046","https://openalex.org/W3100097016","https://openalex.org/W3102432178","https://openalex.org/W3119051141","https://openalex.org/W3122910277","https://openalex.org/W3125759118","https://openalex.org/W3176833097","https://openalex.org/W3202767876","https://openalex.org/W4235019172","https://openalex.org/W4311350214","https://openalex.org/W4313253265","https://openalex.org/W4320473070","https://openalex.org/W4320481773","https://openalex.org/W4324353117","https://openalex.org/W4352978435","https://openalex.org/W4362672383","https://openalex.org/W4382698960","https://openalex.org/W4386536666","https://openalex.org/W4387674742","https://openalex.org/W4388094722","https://openalex.org/W4391621017","https://openalex.org/W4394785854"],"related_works":[],"abstract_inverted_index":{"ABSTRACT":[0],"Complex":[1],"networks":[2,26],"are":[3],"prevalent":[4],"in":[5,79],"various":[6],"real\u2010world":[7],"domains,":[8],"including":[9],"social":[10],"networks,":[11,13,15],"biological":[12],"communication":[14],"and":[16,39,191],"information":[17],"networks.":[18],"Identifying":[19],"the":[20,46,133,136,162,173,180,192],"significance":[21,70],"of":[22,48,53,88,135,165],"nodes":[23],"within":[24],"these":[25,143],"provides":[27],"numerous":[28],"advantages,":[29],"such":[30],"as":[31],"detecting":[32],"influential":[33],"individuals,":[34],"identifying":[35],"structurally":[36],"similar":[37,166],"nodes,":[38],"facilitating":[40],"community":[41],"analysis.":[42],"However,":[43],"due":[44],"to":[45,62,141],"absence":[47],"a":[49,72,84,99,104,150,155],"universally":[50],"accepted":[51],"definition":[52],"node":[54,69,89],"importance,":[55],"multiple":[56,77,95],"centrality":[57,66,96,152,189],"measures":[58,78,97,119],"have":[59],"been":[60],"developed":[61],"quantify":[63],"it.":[64],"Each":[65],"measure":[67,153],"evaluates":[68],"from":[71,154],"distinct":[73],"perspective.":[74],"By":[75],"utilizing":[76],"conjunction":[80],"or":[81],"integrating":[82],"them,":[83],"more":[85],"comprehensive":[86],"understanding":[87],"importance":[90],"can":[91,111,183],"be":[92,112],"achieved.":[93],"Combining":[94],"into":[98],"linear":[100],"combination":[101],"involves":[102],"determining":[103],"coefficient":[105],"for":[106,120,127,172,187],"each":[107,128],"sub\u2010centrality":[108],"measure,":[109],"which":[110],"computationally":[113],"intensive.":[114],"Additionally,":[115],"developing":[116],"separate":[117],"combined":[118,151,188],"different":[121],"graphs":[122],"requires":[123],"repeating":[124],"this":[125],"process":[126],"case.":[129],"This":[130],"study":[131],"proposes":[132],"use":[134],"Arithmetic":[137],"Optimization":[138],"Algorithm":[139],"(AOA)":[140],"determine":[142,185],"coefficients.":[144],"It":[145],"also":[146],"suggests":[147],"that":[148,179],"generating":[149],"synthetic":[156],"Representative":[157,193],"Graph,":[158],"created":[159],"by":[160],"averaging":[161],"degree":[163],"distributions":[164],"graphs,":[167],"may":[168],"produce":[169],"effective":[170],"results":[171,177],"original":[174],"graphs.":[175],"Experimental":[176],"indicate":[178],"AOA":[181],"algorithm":[182],"quickly":[184],"coefficients":[186],"measures,":[190],"Graph":[194],"method":[195],"performs":[196],"effectively.":[197]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
