Geodesic
KP-digraphs and CKI-digraphs satisfying the k-Meyniel's condition
Discussiones Mathematicae. Graph Theory, Tome 16 (1996) no. 1, pp. 5-16

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A digraph D is said to satisfy the k-Meyniel’s condition if each odd directed cycle of D has at least k diagonals. The study of the k-Meyniel’s condition has been a source of many interesting problems, questions and results in the development of Kernel Theory. In this paper we present a method to construct a large variety of kernel-perfect (resp. critical kernel-imperfect) digraphs which satisfy the k-Meyniel’s condition.
Keywords: digraph, kernel, independent set of vertices, absorbing set of vertices, kernel-perfect digraph, critical-kernel-imperfect digraph, τ-system, τ₁-system, indepedent kernel modulo Q, co-rooted tree, τ-construction, τ₁-construction 
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     title = {KP-digraphs and {CKI-digraphs} satisfying the {k-Meyniel's} condition},
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Galeana-Sánchez, H.; Neumann-Lara, V. KP-digraphs and CKI-digraphs satisfying the k-Meyniel's condition. Discussiones Mathematicae. Graph Theory, Tome 16 (1996) no. 1, pp. 5-16. http://geodesic.mathdoc.fr/item/DMGT_1996_16_1_a0/