We wrote many papers on these subjects, some in collaboration with Galvin, Rado, Shelah and Szemer6di, and posed many problems some of which turned out to be undecidable. In this survey we state some old and new solved and unsolved problems. Nous avons 6crit beaucoup d'articles, certains en collabo
Orthogonal representations over finite fields and the chromatic number of graphs
✍ Scribed by René Peeters
- Book ID
- 105138380
- Publisher
- Springer-Verlag
- Year
- 1996
- Tongue
- English
- Weight
- 710 KB
- Volume
- 16
- Category
- Article
- ISSN
- 0209-9683
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📜 SIMILAR VOLUMES
Graph bundles generalize the notion of covering graphs and products of graphs. The chromatic numbers of product bundles with respect to the Cartesian, strong and tensor product whose base and fiber are cycles are determined. ## 1. Introduction If G is a graph, V(G) and E(G) denote its vertex and e
## Abstract The 1‐chromatic number χ~1~(__S__~__p__~) of the orientable surface __S__~__p__~ of genus __p__ is the maximum chromatic number of all graphs which can be drawn on the surface so that each edge is crossed by no more than one other edge. We show that if there exists a finite field of ord
We introduce in this paper the notion of the chromatic number of an oriented graph G (that is of an antisymmetric directed graph) defined as the minimum order of an oriented graph H such that G admits a homomorphism to H. We study the chromatic number of oriented k-trees and of oriented graphs with