On the Optimality of Coloring with a Lattice
β Scribed by Ben-Haim, Yael; Etzion, Tuvi
- Book ID
- 118198091
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 2005
- Tongue
- English
- Weight
- 460 KB
- Volume
- 18
- Category
- Article
- ISSN
- 0895-4801
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Let G be a graph with point set V. A (2.)c,oloring of G is a map of V to ired, white!. An error occurs whenever the two endpoints of a line have the same color. An oprimul doring of G is a coloring of G for which the number of errors is minimum. The minimum number of errors is denoted by y(G), we de
The highest possible minimal norm of a unimodular lattice is determined in dimensions n 33. There are precisely five odd 32-dimensional lattices with the highest possible minimal norm (compared with more than 8.10 20 in dimension 33). Unimodular lattices with no roots exist if and only if n 23, n{25
After discussing difficulties with previous proofs of A\*'s ootimality, new proofs are presented. In addition, examples are used to show: (1) that the value of (~n) may be a function of the state of the search as well as the al~ailable heuristic information and ( 2) that there exist admissible searc