Partitioning a k-connected graph
β Scribed by Lifshits, Yu. M.
- Book ID
- 120137575
- Publisher
- Walter de Gruyter GmbH & Co. KG
- Year
- 2005
- Tongue
- English
- Weight
- 112 KB
- Volume
- 15
- Category
- Article
- ISSN
- 0924-9265
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
For each positive integer k we consider the smallest positive integer f(k) (dependent only on k) such that the following holds: Each connected graph G with chromatic number x(G) --k can be properly vertex colored by k colors so that for each pair of vertices x0 and x~ in any color class there exist
Let G = (V, β¬1 be a finite, simple p-partite graph with minimum degree 6 and edge-connectivity A. It is proved that if IVI d (2pS)/(p -1) -2 or in special cases that if IVI I ( 2 p 6 ) / ( p -1) -1, then A = S . It is further shown that this result is best possible.