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Facets of the X-ray polytope of doubly stochastic matrices

Chaudhary, Prashant et al.
arXiv (All) · Papers
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52b05combinatoricsmetric-geometryoptimization-and-control
We study the polytope of anti-diagonal X-rays of k x k doubly stochastic matrices, the image of the Birkhoff polytope under the map that sums the entries along each anti-diagonal. Its facets other than the coordinate facets are the minimal joint tail bounds for lattice laws of a sum of two dependent
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