Gamma-positivity conjecture for symmetric edge polytopes of type A

Let AG{\mathcal A}_G be a symmetric edge polytope of type A, and let h(AG,x)h^*({\mathcal A}_G,x) denote its hh^*-polynomial. Type A symmetric edge-polytope conjecture. The hh^*-polynomial of any symmetric edge polytope of type A is γ\gamma-positive. The conjecture is motivated by the preceding explicit calculations for complete bipartite graphs; its general status is not resolved in the supplied source.

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Primary source

Hidefumi Ohsugi and Akiyoshi Tsuchiya, “The h^*-polynomials of locally anti-blocking lattice polytopes and their γ-positivity”, arXiv:1906.04719 (2020).

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