A note on induced cycles in Kneser graphs
โ Scribed by Y. Kohayakawa
- Publisher
- Springer-Verlag
- Year
- 1991
- Tongue
- English
- Weight
- 389 KB
- Volume
- 11
- Category
- Article
- ISSN
- 0209-9683
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Grossman and Ha ggkvist gave a sufficient condition under which a two-edgecoloured graph must have an alternating cycle (i.e., a cycle in which no two consecutive edges have the same colour). We extend their result to edge-coloured graphs with any number of colours. That is, we show that if there is
AnSTRACr. Let G be a graph, and let v be a vertex of G. We denote by N(v) the set of vertices of G which are adjacent to v, and by (N(v)) the subgraph of G induced by N(v). We call <N(v)) the neighborhood of v. In a paper of 1968, Agakishieva has, as one of her main theorems, the statement: "Graphs