Citation
R. Aharoni et R. Holzman, FRACTIONAL KERNELS IN DIGRAPHS, J COMB TH B, 73(1), 1998, pp. 1-6
Citations number
7
Categorie Soggetti
Mathematics,Mathematics
Journal title
JOURNAL OF COMBINATORIAL THEORY SERIES B
ISSN journal
00958956
→ ACNP
Volume
73
Issue
1
Year of publication
1998
Pages
1 - 6
Database
ISI
SICI code
0095-8956(1998)73:1<1:FKID>2.0.ZU;2-R
Abstract
We define a fractional version of the notion of ''kernels'' in digraph
s and prove that every clique-acyclic digraph (i.e., one in which no c
lique contains a cycle) has a fractional kernel. Using this we give a
short proof of a recent result of Bores and Gurvich (proving a conject
ure of Berge and Duchet) that every clique-acyclic orientation of a pe
rfect graph has a kernel. (C) 1998 Academic Press.