Any r-edge-coloured n-vertex complete graph K n contains at most r monochromatic trees, all of different colours, whose vertex sets partition the vertex set of K n , provided n 3r 4 r! (1&1รr) 3(1&r) log r. This comes close to proving, for large n, a conjecture of Erdo s, Gya rfa s, and Pyber, which
Partitioning infinite trees
โ Scribed by Peter Horak; Katherine Heinrich
- Publisher
- John Wiley and Sons
- Year
- 2000
- Tongue
- English
- Weight
- 153 KB
- Volume
- 34
- Category
- Article
- ISSN
- 0364-9024
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