Article ID Journal Published Year Pages File Type
4649565 Discrete Mathematics 2009 5 Pages PDF
Abstract

The strongly connected reliability  scRel(D,p)scRel(D,p) of a digraph DD is the probability that the spanning subgraph of DD consisting of the operational arcs is strongly connected, given that the vertices always operate, but each arc is independently operational with probability p∈[0,1]p∈[0,1]. We show that the closure of the set of roots of strongly connected reliability polynomials is the whole complex plane.

Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics
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