Graphical Eulerian numbers and chromatic generating functions
β Scribed by Ioan Tomescu
- Publisher
- Elsevier Science
- Year
- 1987
- Tongue
- English
- Weight
- 217 KB
- Volume
- 66
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
β¦ Synopsis
In this paper some further properties of the coefficients of a chromatic generating function introduced by Linial are proved. A combinatorial interpretation of these numbers is given by specializing some results of Stanley on posets to surjective n-colorings of a graph G of order n compatible with linear orders on V(G) which extend acyclic orientations of G.
π SIMILAR VOLUMES
Sampathkumar, E., Generalizations of independence and chromatic numbers of a graph, Discrete Mathematics 115 (1993) 2455251. Let G = (V, E) be a graph and k > 2 be an integer. A set S c V is k-independent if every component in the subgraph (S) induced by S has order at most k-1. The general chromati
## Abstract Let __f__(__n__)β=βmin{Ο(__G__βΓβ__H__)β:β__G__ and __H__ are __n__βchromatic digraphs} and __g__(__n__)β=βmin{Ο(__G__βΓβ__H__)β:β__G__ and __H__ are __n__βchromatic graphs}. We prove that __f__ is bounded if and only if __g__ is bounded. Β© 2005 Wiley Periodicals, Inc. J Graph Theory