The existence of uniquely −G colourable graphs
✍ Scribed by D. Achlioptas; J.I. Brown; D.G. Corneil; M.S.O. Molloy
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 577 KB
- Volume
- 179
- Category
- Article
- ISSN
- 0012-365X
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📜 SIMILAR VOLUMES
A graph G is called uniquely hamiltonian-connected from a vertex v of G if G contains exactly one v-u hamiltonian path for each vertex u, u ~ v. It is shown that if G is uniquely hamiltonian-connected from a vertex v and G has order n/> 5, then G has exactly ½(3n-3) edges, G -v has exactly one hamil
Given a graph G, its edges are said to be exactly x-coloured if we have a surjective map from the edges to some set of colours of size x. Erickson considered the following statement which he denoted P(c, m): if the edges of K | the complete graph on vertex set N are exactly c-coloured, then there ex