2005 European Conference on Combinatorics, Graph Theory and Applications (EuroComb '05)
Stefan Felsner (ed.)
DMTCS Conference Volume AE (2005), pp. 257-262
| author: | Hortensia Galeana-Sánchez and Mucuy-Kak Guevara |
|---|---|
| title: | Semikernels modulo F in Digraphs |
| keywords: | kernel, semikernel, semikernel modulo F, kernel perfect digraph, critical kernel imperfect digraph |
| abstract: |
A kernel
N
of a digraph
D
is an independent set of vertices of
D
such that for every
w∈V(D)-N
there exists an arc from
w
to
N
. If every induced subdigraph of
D
has a kernel,
D
is said to be a kernel perfect digraph. Minimal
non-kernel perfect digraph are called critical kernel
imperfect digraph. If
F
is a set of arcs of
D
, a semikernel modulo
F
,
S
of
D
is an independent set of vertices of
D
such that for every
z∈V(D)- S
for which there exists an
Sz-
arc of
D-F
, there also exists an
zS-
arc in
D
. In this talk some structural results concerning
critical kernel imperfect and sufficient conditions for a
digraph to be a critical kernel imperfect digraph are
presented.
|
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| reference: | Hortensia Galeana-Sánchez and Mucuy-Kak Guevara (2005), Semikernels modulo F in Digraphs, in 2005 European Conference on Combinatorics, Graph Theory and Applications (EuroComb '05), Stefan Felsner (ed.), Discrete Mathematics and Theoretical Computer Science Proceedings AE, pp. 257-262 |
| bibtex: | For a corresponding BibTeX entry, please consider our BibTeX-file. |
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Automatically produced on Di Sep 27 10:09:56 CEST 2005 by gustedt
