{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,2,10]],"date-time":"2023-02-10T21:57:30Z","timestamp":1676066250141},"reference-count":8,"publisher":"World Scientific Pub Co Pte Lt","issue":"02","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2009,2]]},"abstract":"<jats:p> A novel node-based approach to quantify the vulnerability of a complex network is presented. The proposed measure represents a multiscale evaluation of vulnerability closely related to the edge multiscale vulnerability. In fact, a linear relationship between the edge multiscale vulnerability and the node multiscale vulnerability is stated for p = 1. Upper and lower bounds are established for other values of p. This mathematical framework is subsequently used to obtain some interesting results about the Madrid underground network. <\/jats:p>","DOI":"10.1142\/s0218127409023068","type":"journal-article","created":{"date-parts":[[2009,5,8]],"date-time":"2009-05-08T07:52:17Z","timestamp":1241769137000},"page":"703-710","source":"Crossref","is-referenced-by-count":8,"title":["A NODE-BASED MULTISCALE VULNERABILITY OF COMPLEX NETWORKS"],"prefix":"10.1142","volume":"19","author":[{"given":"R.","family":"CRIADO","sequence":"first","affiliation":[{"name":"Departamento de Matem\u00e1tica Aplicada, Universidad Rey Juan Carlos, C\/Tulip\u00e1n s\/n, 28933 M\u00f3stoles (Madrid), Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"J.","family":"PELLO","sequence":"additional","affiliation":[{"name":"Departamento de Matem\u00e1tica Aplicada, Universidad Rey Juan Carlos, C\/Tulip\u00e1n s\/n, 28933 M\u00f3stoles (Madrid), Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"M.","family":"ROMANCE","sequence":"additional","affiliation":[{"name":"Departamento de Matem\u00e1tica Aplicada, Universidad Rey Juan Carlos, C\/Tulip\u00e1n s\/n, 28933 M\u00f3stoles (Madrid), Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"M.","family":"VELA-P\u00c9REZ","sequence":"additional","affiliation":[{"name":"Departamento de Matem\u00e1tica Aplicada, Universidad Rey Juan Carlos, C\/Tulip\u00e1n s\/n, 28933 M\u00f3stoles (Madrid), Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2011,11,20]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1103\/RevModPhys.74.47"},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1016\/j.physrep.2005.10.009"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1063\/1.2801687"},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.75.045102"},{"key":"rf5","doi-asserted-by":"publisher","DOI":"10.1007\/s10852-005-9006-1"},{"key":"rf6","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.69.026113"},{"key":"rf7","volume-title":"Real and Complex Analysis","author":"Rudin W.","year":"1987"},{"key":"rf8","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511815478"}],"container-title":["International Journal of Bifurcation and Chaos"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218127409023068","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,6]],"date-time":"2019-08-06T20:02:57Z","timestamp":1565121777000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218127409023068"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2009,2]]},"references-count":8,"journal-issue":{"issue":"02","published-online":{"date-parts":[[2011,11,20]]},"published-print":{"date-parts":[[2009,2]]}},"alternative-id":["10.1142\/S0218127409023068"],"URL":"https:\/\/doi.org\/10.1142\/s0218127409023068","relation":{},"ISSN":["0218-1274","1793-6551"],"issn-type":[{"value":"0218-1274","type":"print"},{"value":"1793-6551","type":"electronic"}],"subject":[],"published":{"date-parts":[[2009,2]]}}}