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ArticleOriginal scientific text

Title

KP-digraphs and CKI-digraphs satisfying the k-Meyniel's condition

Authors ,

Abstract

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

ENG
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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Discussiones Mathematicae Graph Theory
1996/16/1
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Pages:
5-16
Main language of publication
English
Received
1994-06-13
Accepted
1996-04-30
Published
1996
Exact and natural sciences