Orientations of graphs in kernel theory
✍ Scribed by H. Galeana-Sánchez; V. Neumann-Lara
- Publisher
- Elsevier Science
- Year
- 1991
- Tongue
- English
- Weight
- 589 KB
- Volume
- 87
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
✦ Synopsis
In this paper we investigate structural properties of a certain class of graphs (%&free graphs) which are relevant in the study of kernel theory, m-free graphs satisfy the strong perfect graph conjecture of Berge. We investigate orientations of Z&free graphs and other classes of graphs which produce kernel-perfect digraphs.
📜 SIMILAR VOLUMES
In this note I prove that B, or B,-oriented digraphs satisfy the following conjecture proposed by Meyniel (1980): if every directed cycle of odd length in a digraph D has at least two pseudodiagonals then D has a kernel.
## Let G be a finite graph with p vertices and x its chromatic polynomial. A combinatorial interpretation is given to the positive integer (-l)px(-A), where h is a positive integer, in terms of acyclic orientations of G. In particular, (-l)Px(-1) is the number of acyclic orientations of G. An appl