Catalan Matroids are Ehrhart Positive

Published 25 Mar 2025 in math.CO | (2503.19621v2)

Abstract: We show that the Ehrhart polynomials of $(a,b)$-Catalan matroids are positive combinations of the Ehrhart polynomials of uniform matroids. Since Ferroni has shown that uniform matroids are Ehrhart positive, we obtain the Ehrhart positivity of $(a,b)$-Catalan matroids.

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