## Abstract Here we examine six definitions of criticality concerning the chromatic index (edge chromatic number) of a simple graph. Five of these turn out to be almost always almost equivalent. Some problems arise and some conjectures are posed.
Monochromatic Trees with Respect to Edge Partitions
β Scribed by V. Rodl; B. Voigt
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 270 KB
- Volume
- 58
- Category
- Article
- ISSN
- 0095-8956
No coin nor oath required. For personal study only.
β¦ Synopsis
It is shown. that for every infinite cardinal (\kappa) there exists a graph (F) on (\kappa) vertices satisfying (F \rightarrow(T){i}^{\text {edgen }}) for every tree (T) on (\kappa) vertices and all (i) satisfying cf (\kappa \rightarrow((1)){j}^{3}). ' 1993 Acadenic Press, Inc.
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