Lower Bounds for Simplicial Covers and Triangulations of Cubes
โ Scribed by Adam Bliss; Francis Edward Su
- Publisher
- Springer
- Year
- 2004
- Tongue
- English
- Weight
- 261 KB
- Volume
- 33
- Category
- Article
- ISSN
- 0179-5376
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Let T (n) denote the number of n-simplices in a minimum cardinality decomposition of the n-cube into n-simplices. For n โฅ 1, we show that T (n) โฅ H (n), where H (n) is the ratio of the hyperbolic volume of the ideal cube to the ideal regular simplex. Explicit bounds for T (n) are tabulated for n โค
## dedicated to the memory of rodica simion Let G be an r-uniform hypergraph. The multicolor Ramsey number r k G is the minimum n such that every k-coloring of the edges of the complete r-uniform hypergraph K r n yields a monochromatic copy of G. Improving slightly upon results from M. Axenovich,