On Approximating the Achromatic Number
β Scribed by Kortsarz, Guy; Krauthgamer, Robert
- Book ID
- 118199520
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 2001
- Tongue
- English
- Weight
- 206 KB
- Volume
- 14
- Category
- Article
- ISSN
- 0895-4801
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
The achromatic number for a graph G = V E is the largest integer m such that there is a partition of V into disjoint independent sets V 1 V m such that for each pair of distinct sets V i , V j , V i βͺ V j is not an independent set in G. Yannakakis and Gavril (1980, SIAM J. Appl. Math. 38, 364-372) p
Let G be a simple graph. The achromatic number Ο(G) is the largest number of colors possible in a proper vertex coloring of G in which each pair of colors is adjacent somewhere in G. For any positive integer m, let q(m) be the largest integer k such that ( k 2 ) β€ m. We show that the problem of dete
The achromatic number of a finite graph G, (G), is the maximum number of independent sets into which the vertex set may be partitioned, so that between any two parts there is at least one edge. For an m-dimensional hypercube P m 2 we prove that there exist constants 0<c 1 <c 2 , independent of m, su