Geodesic
On (k,l)-kernels of special superdigraphs of Pₘ and Cₘ
Discussiones Mathematicae. Graph Theory, Tome 21 (2001) no. 1, pp. 95-109

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The concept of (k,l)-kernels of digraphs was introduced in [2]. Next, H. Galeana-Sanchez [4] proved a sufficient condition for a digraph to have a (k,l)-kernel. The result generalizes the well-known theorem of P. Duchet and it is formulated in terms of symmetric pairs of arcs. Our aim is to give necessary and sufficient conditions for digraphs without symmetric pairs of arcs to have a (k,l)-kernel. We restrict our attention to special superdigraphs of digraphs Pₘ and Cₘ.
Keywords: kernel, semikernel, (k,l)-kernel 
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     title = {On (k,l)-kernels of special superdigraphs of {Pₘ} and {Cₘ}},
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Kucharska, Magdalena; Kwaśnik, Maria. On (k,l)-kernels of special superdigraphs of Pₘ and Cₘ. Discussiones Mathematicae. Graph Theory, Tome 21 (2001) no. 1, pp. 95-109. http://geodesic.mathdoc.fr/item/DMGT_2001_21_1_a6/