Upper Bounds for Regularized Determinants
✍ Scribed by H. Gillet; C. Soulé
- Publisher
- Springer
- Year
- 1998
- Tongue
- English
- Weight
- 167 KB
- Volume
- 199
- Category
- Article
- ISSN
- 0010-3616
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## Abstract A harmonious coloring of a simple graph __G__ is a coloring of the vertices such that adjacent vertices receive distinct colors and each pair of colors appears together on at most one edge. The harmonious chromatic number __h__(__G__) is the least number of colors in such a coloring. We
A system of r-element subsets (blocks) of an n-element set X n is called a Tura n (n, k, r)-system if every k-element subset of X n contains at least one of the blocks. The Tura n number T(n, k, r) is the minimum size of such a system. We prove upper estimates: + as n Ä , r Ä , k=(#+o(1))r, #>1.