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Results tagged with co.combinatorics
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user 10280
Enumerative combinatorics, graph theory, order theory, posets, matroids, designs and other discrete structures. It also includes algebraic, analytic and probabilistic combinatorics.
3
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2
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344
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Rational dilates of integral convex polytopes
Let $\bar{\mathcal{P}}$ denote the closed $n$-dimensional convex polytope subtended by the origin and the lattice points {$b_{i} \textbf{e} _ {i}$}, where {$\mathbf{e}_{i}$} is the standard basis of $ …
- 595
9
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0
answers
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Counting Lattice Points in Real Polytopes
Suppose one did have an exact formula for the number of $\mathbb{Z}^n$-lattice points intersecting an arbitrary dilate of a (not necessarily rational) finite, closed and convex $n$-polytope. As a resu …