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Lower Bounds for Simplicial Covers and Triangulations of Cubes

โœ Scribed by Adam Bliss; Francis Edward Su


Publisher
Springer
Year
2004
Tongue
English
Weight
261 KB
Volume
33
Category
Article
ISSN
0179-5376

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A Lower Bound for the Simplexity of then
โœ Warren D. Smith ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 139 KB

Let T (n) denote the number of n-simplices in a minimum cardinality decomposition of the n-cube into n-simplices. For n โ‰ฅ 1, we show that T (n) โ‰ฅ 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 โ‰ค

New Lower Bounds for Ramsey Numbers of G
โœ Felix Lazebnik; Dhruv Mubayi ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 146 KB ๐Ÿ‘ 1 views

## 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,