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On (k,l)-kernels in D-join of digraphs

Waldemar SzumnyAndrzej WłochIwona Włoch — 2007

Discussiones Mathematicae Graph Theory

In [5] the necessary and sufficient conditions for the existence of (k,l)-kernels in a D-join of digraphs were given if the digraph D is without circuits of length less than k. In this paper we generalize these results for an arbitrary digraph D. Moreover, we give the total number of (k,l)-kernels, k-independent sets and l-dominating sets in a D-join of digraphs.

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