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Results tagged with co.combinatorics
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user 165697
Enumerative combinatorics, graph theory, order theory, posets, matroids, designs and other discrete structures. It also includes algebraic, analytic and probabilistic combinatorics.
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answer
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upper bound for the number of integer solutions of a special equation
we know that the number of integer solutions for the following equation with integers $m, r$:
$\begin{equation}
z_1 + \cdots + z_m = 2m, \quad 1 \leq z_i \leq r
\end{equation}$
is $N = \binom{2m-1}{m- …
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