W. B. Vasantha Kandasamy, Florentin Smarandache
In this book authors for the first time introduce the new notion of special subset vertex subgraph of subset vertex graphs. These subset vertex graphs takes the vertex set values from the power set P(X) of any set X. The main speciality of these subset vertex graphs is that once a set of subsets from P(X) is given, the edges of the graph are fixed in a unique way, so for a given collection of subset vertices the graph is always unique. The special subset vertex subgraphs of G are the ones, which have the same number of vertices as that of the subset vertex graph G. This special property enables one to use these subgraphs as fault tolerant graphs for fault tolerant networks. In this book authors define the notion of special subset vertex hyper subgraphs, which are better suited for fault tolerant graphs.
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