7 papers
Lattice point enumeration of polytopes associated to integer compositions
Christos A. Athanasiadis
An -dimensional lattice polytope can be associated to any composition of a positive integer , as a special case of constructions due to Pitman--Stanley…
Two classes of posets with real-rooted chain polynomials
Christos A. Athanasiadis, Theo Douvropoulos, Katerina Kalampogia-Evangelinou
The coefficients of the chain polynomial of a finite poset enumerate chains in the poset by their number of elements. It has been a challenging open problem to determine which pose…
A convex ear decomposition of the augmented Bergman complex of a matroid
Christos A. Athanasiadis, Luis Ferroni
In recent work of Braden, Huh, Matherne, Proudfoot and Wang, a class of simplicial complexes associated to matroids, called augmented Bergman complexes, was introduced. The present…
Local -polynomials, uniform triangulations and real-rootedness
Christos A. Athanasiadis
The local -polynomial was introduced by Stanley as a fundamental enumerative invariant of a triangulation of a simplex. This polynomial is known to have nonnegative and sym…
Triangulations of simplicial complexes and theta polynomials
Christos A. Athanasiadis
An enumerative theory of triangulations of simplicial complexes has been developed by Stanley. A key role in his theory is played by the local -polynomial of a triangulation of…
On the real-rootedness of the Eulerian transformation
Christos A. Athanasiadis
The Eulerian transformation is the linear operator on polynomials in one variable with real coefficients which maps the powers of this variable to the corresponding Eulerian polyno…