In studying the scalability of optical networks, one problem which arises involves coloring the vertices of the n-cube with as few colors as possible such that any two vertices whose Hamming distance is at most k are colored differently. Determining the exact value of Ο k (n), the minimum number of
New Results on the Queens_n2Graph Coloring Problem
β Scribed by Michel Vasquez
- Book ID
- 111584193
- Publisher
- Springer US
- Year
- 2004
- Tongue
- English
- Weight
- 119 KB
- Volume
- 10
- Category
- Article
- ISSN
- 1381-1231
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## Abstract It is known that a necessary condition for the existence of a 1βrotational 2βfactorization of the complete graph __K__~2__n__+1~ under the action of a group __G__ of order 2__n__ is that the involutions of __G__ are pairwise conjugate. Is this condition also sufficient? The complete ans
In this paper we ΓΏrst show that the permutation-path coloring problem is NP-hard even for very restrictive instances like involutions, which are permutations that contain only cycles of length at most two, on both binary trees and on trees having only two vertices with degree greater than two, and f