Proof, There are d arithmdztic sequence8 inserted (mod 1) into [O, I], In the following, we will refer to the 'Mart" and "flni~h" points of each of the sequences, These are, respectively, the points {q) and {(q -I)@ t cu,) for 1 G i G d. The idea of the proof is to associate each interval in [O, I]
A short proof of a theorem of M. Hashimoto
β Scribed by Joel Roberts; Jerzy Weyman
- Publisher
- Elsevier Science
- Year
- 1990
- Tongue
- English
- Weight
- 609 KB
- Volume
- 134
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
In this note, w e give a short proof of a stronger version of the following theorem: Let G be a 2-connected graph of order n such that for any independent set {u, u , w}, then G is hamiltonian. 0 1996 John
Gallai and Milgram (1960) proved that a digraph with stability number ct is spanned by ct disjoint directed paths. Chen and Manalastas Jr (1983) proved that a strong digraph with stability number at most two is spanned by at most two consistent directed circuits. We slightly simplify the proof of
## Abstract For a simple graph of maximum degree Ξ, it is always possible to color the edges with Ξ + 1 colors (Vizing); furthermore, if the set of vertices of maximum degree is independent, Ξ colors suffice (Fournier). In this article, we give a short constructive proof of an extension of these re