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arXiv · 1011.4550

Algorithms for enumerating and counting D2CS of some graphs

P. Venkata Subba Reddy·K. Viswanathan Iyer
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Abstract

A D2CS of a graph G is a set $S \subseteq V(G)$ with $diam(G[S]) \leq 2$. We study the problem of counting and enumerating D2CS of a graph. First we give an explicit formula for the number of D2CS in a complete k-ary tree, Fibonacci tree, binary Fibonacci tree and the binomial tree. Next we give an algorithm for enumerating and counting D2CS of a graph. We then give a linear time algorithm for finding all maximal D2CS in a strongly chordal graph.

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P. Venkata Subba Reddy, K. Viswanathan Iyer. 2010-11-20. Algorithms for enumerating and counting D2CS of some graphs. https://arxiv.org/abs/1011.4550

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