Proves the conjecture that Ehrhart h*-polynomials of order polytopes of generalized snake posets are real-rooted by connecting them to non-nesting rook polynomials.
Positroids have the Rayleigh property
1 Pith paper cite this work. Polarity classification is still indexing.
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abstract
The Rayleigh property is a negative correlation property of electrical networks, which was generalized to matroids by Choe and Wagner. We prove that positroids, a class of matroid introduced by Postnikov which have seen many recent applications in both math and physics, have the Rayleigh property.
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math.CO 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
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Order polytopes of generalized snake posets are $h^*$-real-rooted
Proves the conjecture that Ehrhart h*-polynomials of order polytopes of generalized snake posets are real-rooted by connecting them to non-nesting rook polynomials.