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ArticleOriginal scientific text

Title

On (k,l)-kernel perfectness of special classes of digraphs

Authors 1

Affiliations

  1. Institute of Mathematics, Technical University of Szczecin, Piastów 48/49, 70-310 Szczecin, Poland

Abstract

In the first part of this paper we give necessary and sufficient conditions for some special classes of digraphs to have a (k,l)-kernel. One of them is the duplication of a set of vertices in a digraph. This duplication come into being as the generalization of the duplication of a vertex in a graph (see [4]). Another one is the D-join of a digraph D and a sequence α of nonempty pairwise disjoint digraphs. In the second part we prove theorems, which give necessary and sufficient conditions for special digraphs presented in the first part to be (k,l)-kernel-perfect digraphs. The concept of a (k,l)-kernel-perfect digraph is the generalization of the well-know idea of a kernel perfect digraph, which was considered in [1] and [6].

Keywords

ENG
kernel, (k,l)-kernel, kernel-perfect digraph

Bibliography

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Discussiones Mathematicae Graph Theory
2005/25/1-2
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Pages:
103-119
Main language of publication
English
Received
2003-10-28
Accepted
2004-05-11
Published
2005

DOI: 10.7151/dmgt.1265

Exact and natural sciences