Relationships between vertex attack tolerance and other vulnerability parameters
Makaleler > Tam Makale · 2017
Yazarlar: Vecdi AYTAÇ, TUFAN TURACI
RAIRO - Theoretical Informatics and Applications, SCI Expanded İndekslerine Giren Dergi, Uluslararası, Wos, 2017, cilt 51, ss 17-27
DOI: 10.1051/ita/2017005
Özet
Let G(V,E) be a simple undirected graph. Recently, the vertex attack tolerance (VAT) of G has been defined as τ(G) = min {|S| / |V-S-Cmax (G-S)|+1 : S ⊂ V} , where Cmax(G − S) is the order of a largest connected component in G − S. This parameter has been used to measure the vulnerability of networks. The vertex attack tolerance is the only measure that fully captures both the major bottlenecks of a network and the resulting component size distribution upon targeted node attacks. In this article, the relationships between the vertex attack tolerance and some other vulnerability parameters, namely connectivity, toughness, integrity, scattering number, tenacity, binding number and rupture degree have been determined.