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.
A combinatorial expansion of vertical-strip LLT polynomials in the basis of elementary symmetric functions
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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.