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
H-colouring bipartite graphs
β Scribed by John Engbers; David Galvin
- Book ID
- 113698925
- Publisher
- Elsevier Science
- Year
- 2012
- Tongue
- English
- Weight
- 247 KB
- Volume
- 102
- Category
- Article
- ISSN
- 0095-8956
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
A theorem of states that for every n x n (n ~> 3) complete bipartite graph G such that every edge is coloured and each colour is the colour of at most two edges, there is a perfect matching whose edges have distinct colours. We give an O(n 2) algorithm for finding such a perfect matching. We show t
The Clique-Pair-Conjecture (CPC) states that a uniquely colourable perfect graph, different from a clique, contains two maximum size cliques having a two element symmetric difference. One can make an auxiliary graph B from a minimal counterexample for the CPC (if any exists), this B is bipartite. We