{"id":"https://openalex.org/W2083125057","doi":"https://doi.org/10.1142/s0218127409023093","title":"VULNERABILITY AND FALL OF EFFICIENCY IN COMPLEX NETWORKS: A NEW APPROACH WITH COMPUTATIONAL ADVANTAGES","display_name":"VULNERABILITY AND FALL OF EFFICIENCY IN COMPLEX NETWORKS: A NEW APPROACH WITH COMPUTATIONAL ADVANTAGES","publication_year":2009,"publication_date":"2009-02-01","ids":{"openalex":"https://openalex.org/W2083125057","doi":"https://doi.org/10.1142/s0218127409023093","mag":"2083125057"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127409023093","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127409023093","pdf_url":null,"source":{"id":"https://openalex.org/S81011612","display_name":"International Journal of Bifurcation and Chaos","issn_l":"0218-1274","issn":["0218-1274","1793-6551"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Bifurcation and Chaos","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/A5083819212","display_name":"Stefano Boccaletti","orcid":"https://orcid.org/0000-0002-5758-7012"},"institutions":[{"id":"https://openalex.org/I4210115075","display_name":"Embassy of Italy in Tel Aviv","ror":"https://ror.org/02fn8bv93","country_code":"IL","type":"government","lineage":["https://openalex.org/I4210115075"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"S. BOCCALETTI","raw_affiliation_strings":["Embassy of Italy in Tel Aviv, 25 Hamered St., 68125 Tel Aviv, Israel"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Embassy of Italy in Tel Aviv, 25 Hamered St., 68125 Tel Aviv, Israel","institution_ids":["https://openalex.org/I4210115075"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5039528370","display_name":"Regino Criado","orcid":"https://orcid.org/0000-0001-7954-6169"},"institutions":[{"id":"https://openalex.org/I182083151","display_name":"Universidad Rey Juan Carlos","ror":"https://ror.org/01v5cv687","country_code":"ES","type":"education","lineage":["https://openalex.org/I182083151"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"R. CRIADO","raw_affiliation_strings":["Departamento de Matem\u00e1tica Aplicada, Universidad Rey Juan Carlos, C/Tulip\u00e1n s/n, 28933 M\u00f3stoles (Madrid), Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1tica Aplicada, Universidad Rey Juan Carlos, C/Tulip\u00e1n s/n, 28933 M\u00f3stoles (Madrid), Spain","institution_ids":["https://openalex.org/I182083151"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5007358187","display_name":"Javier Pello","orcid":null},"institutions":[{"id":"https://openalex.org/I182083151","display_name":"Universidad Rey Juan Carlos","ror":"https://ror.org/01v5cv687","country_code":"ES","type":"education","lineage":["https://openalex.org/I182083151"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"J. PELLO","raw_affiliation_strings":["Departamento de Matem\u00e1tica Aplicada, Universidad Rey Juan Carlos, C/Tulip\u00e1n s/n, 28933 M\u00f3stoles (Madrid), Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1tica Aplicada, Universidad Rey Juan Carlos, C/Tulip\u00e1n s/n, 28933 M\u00f3stoles (Madrid), Spain","institution_ids":["https://openalex.org/I182083151"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5048911705","display_name":"Miguel Romance","orcid":"https://orcid.org/0000-0001-9259-9716"},"institutions":[{"id":"https://openalex.org/I182083151","display_name":"Universidad Rey Juan Carlos","ror":"https://ror.org/01v5cv687","country_code":"ES","type":"education","lineage":["https://openalex.org/I182083151"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"M. ROMANCE","raw_affiliation_strings":["Departamento de Matem\u00e1tica Aplicada, Universidad Rey Juan Carlos, C/Tulip\u00e1n s/n, 28933 M\u00f3stoles (Madrid), Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1tica Aplicada, Universidad Rey Juan Carlos, C/Tulip\u00e1n s/n, 28933 M\u00f3stoles (Madrid), Spain","institution_ids":["https://openalex.org/I182083151"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100688461","display_name":"Mar\u00eda P\u00e9rez","orcid":"https://orcid.org/0000-0003-1407-859X"},"institutions":[{"id":"https://openalex.org/I182083151","display_name":"Universidad Rey Juan Carlos","ror":"https://ror.org/01v5cv687","country_code":"ES","type":"education","lineage":["https://openalex.org/I182083151"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"M. VELA-P\u00c9REZ","raw_affiliation_strings":["Departamento de Matem\u00e1tica Aplicada, Universidad Rey Juan Carlos, C/Tulip\u00e1n s/n, 28933 M\u00f3stoles (Madrid), Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1tica Aplicada, Universidad Rey Juan Carlos, C/Tulip\u00e1n s/n, 28933 M\u00f3stoles (Madrid), Spain","institution_ids":["https://openalex.org/I182083151"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.4734,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.65749734,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"19","issue":"02","first_page":"727","last_page":"735"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10064","display_name":"Complex Network Analysis Techniques","score":0.9994999766349792,"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":0.9994999766349792,"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":0.9977999925613403,"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":0.9699000120162964,"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/vulnerability","display_name":"Vulnerability (computing)","score":0.7146999835968018},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7117579579353333},{"id":"https://openalex.org/keywords/ranking","display_name":"Ranking (information retrieval)","score":0.7075449824333191},{"id":"https://openalex.org/keywords/complex-network","display_name":"Complex network","score":0.626288652420044},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5838585495948792},{"id":"https://openalex.org/keywords/series","display_name":"Series (stratigraphy)","score":0.5305942296981812},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.4847823977470398},{"id":"https://openalex.org/keywords/complex-system","display_name":"Complex system","score":0.42893218994140625},{"id":"https://openalex.org/keywords/network-security","display_name":"Network security","score":0.4179081618785858},{"id":"https://openalex.org/keywords/distributed-computing","display_name":"Distributed computing","score":0.4074634909629822},{"id":"https://openalex.org/keywords/computer-security","display_name":"Computer security","score":0.2810453176498413},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2529597580432892},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.15517860651016235},{"id":"https://openalex.org/keywords/business","display_name":"Business","score":0.060410887002944946}],"concepts":[{"id":"https://openalex.org/C95713431","wikidata":"https://www.wikidata.org/wiki/Q631425","display_name":"Vulnerability (computing)","level":2,"score":0.7146999835968018},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7117579579353333},{"id":"https://openalex.org/C189430467","wikidata":"https://www.wikidata.org/wiki/Q7293293","display_name":"Ranking (information retrieval)","level":2,"score":0.7075449824333191},{"id":"https://openalex.org/C34947359","wikidata":"https://www.wikidata.org/wiki/Q665189","display_name":"Complex network","level":2,"score":0.626288652420044},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5838585495948792},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.5305942296981812},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.4847823977470398},{"id":"https://openalex.org/C47822265","wikidata":"https://www.wikidata.org/wiki/Q854457","display_name":"Complex system","level":2,"score":0.42893218994140625},{"id":"https://openalex.org/C182590292","wikidata":"https://www.wikidata.org/wiki/Q989632","display_name":"Network security","level":2,"score":0.4179081618785858},{"id":"https://openalex.org/C120314980","wikidata":"https://www.wikidata.org/wiki/Q180634","display_name":"Distributed computing","level":1,"score":0.4074634909629822},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.2810453176498413},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2529597580432892},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.15517860651016235},{"id":"https://openalex.org/C144133560","wikidata":"https://www.wikidata.org/wiki/Q4830453","display_name":"Business","level":0,"score":0.060410887002944946},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C136764020","wikidata":"https://www.wikidata.org/wiki/Q466","display_name":"World Wide Web","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218127409023093","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127409023093","pdf_url":null,"source":{"id":"https://openalex.org/S81011612","display_name":"International Journal of Bifurcation and Chaos","issn_l":"0218-1274","issn":["0218-1274","1793-6551"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Bifurcation and Chaos","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321837","display_name":"Ministerio de Econom\u00eda y Competitividad","ror":"https://ror.org/034900433"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W1967385589","https://openalex.org/W1970663156","https://openalex.org/W1992848946","https://openalex.org/W2008006577","https://openalex.org/W2013614800","https://openalex.org/W2025550035","https://openalex.org/W2050401089","https://openalex.org/W2050445943","https://openalex.org/W2060464767","https://openalex.org/W2065769502","https://openalex.org/W2070722739","https://openalex.org/W2090137050","https://openalex.org/W2095293504","https://openalex.org/W2096183067","https://openalex.org/W2112868720","https://openalex.org/W2130790725","https://openalex.org/W2164727176","https://openalex.org/W3103071483","https://openalex.org/W3147429590","https://openalex.org/W4235733559","https://openalex.org/W4312512934"],"related_works":["https://openalex.org/W4384518057","https://openalex.org/W3105881406","https://openalex.org/W2463678424","https://openalex.org/W2951139566","https://openalex.org/W2998631301","https://openalex.org/W2395847801","https://openalex.org/W2046390638","https://openalex.org/W4236415300","https://openalex.org/W4205157556","https://openalex.org/W4296474010"],"abstract_inverted_index":{"An":[0],"efficient":[1],"and":[2,38,85],"computationally":[3],"advantageous":[4],"definition":[5],"of":[6,8,23,43,50,57,67,70,87],"vulnerability":[7],"a":[9,21,35,55,71,91],"complex":[10],"network":[11,72,89],"is":[12,17],"introduced,":[13],"through":[14],"which":[15],"one":[16],"able":[18],"to":[19,33,61,75,81],"overcome":[20],"series":[22,56],"practical":[24],"difficulties":[25],"encountered":[26],"by":[27],"the":[28,41,65,68,83,88],"measurements":[29],"used":[30],"so":[31],"far":[32],"quantify":[34],"network's":[36],"security":[37],"stability":[39],"under":[40],"effects":[42],"failures,":[44],"attacks":[45],"or":[46],"disfunctions.":[47],"By":[48],"means":[49],"this":[51],"approach,":[52],"we":[53],"prove":[54],"theorems":[58],"that":[59],"allow":[60],"gather":[62],"information":[63],"on":[64],"ranking":[66],"nodes":[69],"with":[73],"respect":[74],"their":[76],"strategic":[77],"importance":[78],"in":[79],"order":[80],"preserve":[82],"functioning":[84],"performance":[86],"as":[90],"whole.":[92]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2015,"cited_by_count":7},{"year":2013,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
