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.
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UNVERDICTED 2representative citing papers
Proves equidistribution of (des, fix) and (ides, pix) over S_n(Π) for Π from Bsila et al. conjecture via explicit ordinary generating 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.
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A Refinement of the Fixed--Pixed Points Equidistribution on restricted Permutations
Proves equidistribution of (des, fix) and (ides, pix) over S_n(Π) for Π from Bsila et al. conjecture via explicit ordinary generating functions.