Christos A. Athanasiadis

collaborators

2 papers

math.CO2026

Polytopes and posets associated to preorders

FrÃ©dÃ©ric Chapoton, Christos A. Athanasiadis

Preorder polytopes, defined from preorders on finite sets, are introduced and studied from a lattice point enumeration point of view. They naturally generalize arbor polytopes, rec…

math.CO2026

Lattice point enumeration of some arbor polytopes

Christos A. Athanasiadis, Qiqi Xiao, Xue Yan

The $n$ -dimensional lattice polytopes $Q_{n, k}$ obtained by intersecting the $n$ th dilate of the standard $n$ -dimensional simplex in $R^{n}$ with the half-spaces $…