Upper Bound on the Number of Vertices of Polyhedra with $0,1$-Constraint Matrices

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In this note we show that the maximum number of vertices in any polyhedron $P=\{x\in \mathbb{R}^d : Ax\leq b\}$ with $0,1$-constraint matrix $A$ and a real vector $b$ is at most $d!$.
3 pages

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