Exact face-isoperimetric inequalities (Q916674)
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scientific article; zbMATH DE number 4154476
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Exact face-isoperimetric inequalities |
scientific article; zbMATH DE number 4154476 |
Statements
Exact face-isoperimetric inequalities (English)
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1990
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Let \([p]^ N\) be the grid, i.e. \([p]^ N=\{0,1,...,N-1\}\). The authors give the best possible upper bound for the number of faces of a fixed dimension contained in a subset of the grid. As a conjecture the result appeared in \textit{B. Bollobás} and \textit{A. J. Radcliffe} [Eur. J. Comb. 11, No.4, 323-333 (1990; see the review above)].
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grid
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upper bound
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