The enumeration of vertex induced subgraphs with respect to the number of components
European Journal of Combinatorics
Resilience enhancing expansion strategies for water distribution systems: A network theory approach
Environmental Modelling & Software
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The purpose of this article is to introduce several results concerning the analysis and synthesis of reliable or invulnerable networks. First, the notion of signed reliability domination of systems is described and some applications to reliability analysis are reviewed. Then the analysis problem is considered and a brief summary of the difficulty of calculating various reliability measures is presented. Some relevant concepts in the synthesis of a most reliable network are studied. The article concludes with an introduction to a non-probabilistic approach to evaluate the vulnerability of a network. © 2009 Wiley Periodicals, Inc. NETWORKS, 2009