3 papers
math.CO2026
Ehrhart polynomials of cyclic polytopes as averages of zonotope Ehrhart polynomials
Masato Konoike
We prove an averaging formula for the Ehrhart polynomial of a cyclic polytope whose vertices are given by integer parameters on the moment curve. More precisely, its Ehrhart polyno…
math.CO2025
On the magic positivity of Ehrhart polynomials of dilated polytopes
Masato Konoike
A polynomial of degree is said to be magic positive if all the coefficients are non-negative when is expanded with respect to the basis $\{x^i(x+1)^{d-i}\}_{i=0}^…
math.CO2024
A new class of magic positive Ehrhart polynomials of reflexive polytopes
Masato Konoike
The magic positivity of Ehrhart polynomials is a useful tool for proving the real-rootedness of the -polynomials. In this paper, we provide a new class of reflexive polytop…