## Abstract We present an improved upper bound on the harmonious chromatic number of an arbitrary graph. We also consider βfragmentableβοΈ classes of graphs (an example is the class of planar graphs) that are, roughly speaking, graphs that can be decomposed into boundedβsized components by removing
New upper bounds on the linear complexity
β Scribed by P. Caballero-Gil
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 478 KB
- Volume
- 39
- Category
- Article
- ISSN
- 0898-1221
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
An upper bound on permutation codes of length n is given. This bound is a solution of a certain linear programming problem and is based on the well-developed theory of association schemes. Several examples are presented. For instance, the 255 values of the bound for n β€ 8 are tabulated. It turns out
## Abstract It is known that a planar graph on __n__ vertices has branchβwidth/treeβwidth bounded by $\alpha \sqrt {n}$. In many algorithmic applications, it is useful to have a small bound on the constant Ξ±. We give a proof of the best, so far, upper bound for the constant Ξ±. In particular, for th