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A Measure of Graphs Vulnerability: Edge Scattering Number

Journal: Bulletin of the International Mathematical Virtual Institute (Vol.4, No. 1)

Publication Date:

Authors : ;

Page : 53-60

Keywords : Vulnerability; network design and communica- tion; connectivity; edge connectivity; integrity; edge integrity; scattering number.;

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Abstract

In a communication network, several vulnerability measures are used to determine the resistance of the network to disruption of operation after the failure of certain stations or communication links. This study intro- duces a new vulnerability parameter, edge scattering number. The edge scattering number of a noncomplete connected graph G is de ned to be es(G) = maxf!(G

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Last modified: 2015-01-09 19:00:49