Fractionally colouring total graphs
β Scribed by K. Kilakos; B. Reed
- Publisher
- Springer-Verlag
- Year
- 1993
- Tongue
- English
- Weight
- 312 KB
- Volume
- 13
- Category
- Article
- ISSN
- 0209-9683
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
The total chromatic number of an arbitrary graph is the smallest number of colours needed to colour the edges and vertices of the graph so that no two adjacent or incident elements of the graph receive the same colour. In this paper we prove that the problem of determining the total chromatic number
An upper bound for total colouring of graphs, Discrete Mathematics 111 (1993) 3899392. We give an upper bound on the number of colours required to extend a given vertex colouring of a graph to a total colouring. This shows that for any simple graph there is a total colouring using at most :d + 3 co