Séminaire Lotharingien de Combinatoire, 93B.148 (2025), 11 pp.
Masato Konoike
A New Class of Magic Positive Ehrhart Polynomials of Reflexive Polytopes
Abstract.
The magic positivity of Ehrhart polynomials is a useful tool for proving the real-rootedness of the h*-polynomials.
In this article, we provide a new class of reflexive polytopes whose Ehrhart polynomials are magic positive.
First, we show that the Ehrhart polynomials of Stasheff polytopes are magic positive.
Second, we also prove a partial result towards the magic positivity of the Ehrhart polynomials of the dual polytopes of the symmetric edge polytopes of cycles.
Received: November 15, 2024.
Accepted: February 15, 2025.
Final version: April 1, 2025.
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