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Cube-Edges of Uraninites as a Criterion of Age

โœ Scribed by WASSERSTEIN, B.


Book ID
109568162
Publisher
Nature Publishing Group
Year
1951
Tongue
English
Weight
113 KB
Volume
168
Category
Article
ISSN
0028-0836

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๐Ÿ“œ SIMILAR VOLUMES


DIFFUSION AS A CRITERION OF AGE
โœ WILSON D. WALLIS ๐Ÿ“‚ Article ๐Ÿ“… 1925 ๐Ÿ› American Anthropological Association ๐ŸŒ English โš– 468 KB
Diffusion as a Criterion of Age
โœ Wilson D. Wallis ๐Ÿ“‚ Article ๐Ÿ“… 1925 ๐Ÿ› American Anthropological Association ๐ŸŒ English โš– 913 KB
Ages of Uraninites by a New Method
โœ WASSERSTEIN, B. ๐Ÿ“‚ Article ๐Ÿ“… 1954 ๐Ÿ› Nature Publishing Group ๐ŸŒ English โš– 227 KB
Maximum number of edges joining vertices
โœ Khaled A.S. Abdel-Ghaffar ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 84 KB

Let E d (n) be the number of edges joining vertices from a set of n vertices on a d-dimensional cube, maximized over all such sets. We show that E d (n) = r-1 i=0 (l i /2 + i)2 l i , where r and l 0 > l 1 > โ€ข โ€ข โ€ข > l r-1 are nonnegative integers defined by n = r-1 i=0 2 l i .

A note on the edges of the n-cube
โœ Sergiu Hart ๐Ÿ“‚ Article ๐Ÿ“… 1976 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 671 KB ๐Ÿ‘ 1 views

The following combinatorial problem, which arose in game theory, is solved here: To tind a selt of vertices of ;P given size (in t.k nxube) which has a maximal number sf interconnecting edges,