On a matching arrangement of a graph and LP-orientations of a matching polyhedron

Aleksey Bolotnikov

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arXiv · 2212.13749

On a matching arrangement of a graph and LP-orientations of a matching polyhedron

Aleksey Bolotnikov

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Abstract

This paper contains a description of a connection between the matching arrangement and the matching polyhedron. A bijection between regions of the matching arragement and LP-orientations of the matching polyhedron is constructed. This bijection allows to calculate the number of LP-orientations of the matching polyhedron with the characteristic polynomial of the matching arrangement.

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Aleksey Bolotnikov. 2022-12-28. On a matching arrangement of a graph and LP-orientations of a matching polyhedron. https://arxiv.org/abs/2212.13749

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