Eleni Tzanaki

most citedPolygon dissections and some generalizations of cluster complexes

3 citations · 6 across the 4 of their papers we have counts for

collaborators

4 papers

math.CO2006★ 1 cited

Shellability and higher Cohen-Macaulay connectivity of generalized cluster complexes

Christos A. Athanasiadis, Eleni Tzanaki

Let $Φ$ be a finite root system of rank $n$ and let $m$ be a nonnegative integer. The generalized cluster complex $Δ^{m} (Φ)$ was introduced by S. Fomin and N. Reading. It was conjec…

math.CO2006

On the enumeration of positive cells in generalized cluster complexes and Catalan hyperplane arrangements

C. A. Athanasiadis, E. Tzanaki

Let $Φ$ be an irreducible crystallographic root system with Weyl group $W$ and coroot lattice $Q ˇ$ , spanning a Euclidean space $V$ . Let $m$ be a positive integer and $\aA^m_…

math.CO2006★ 2 cited

Faces of generalized cluster complexes and noncrossing partitions

E. Tzanaki

Let $Φ$ be an finite root system with corresponding reflection group $W$ and let $m$ be a nonnegative integer. We consider the generalized cluster complex $Δ^{m} (Φ)$ defined by S. Fo…

math.CO2005★ 3 cited

Polygon dissections and some generalizations of cluster complexes

Eleni Tzanaki

Let $W$ be a Weyl group corresponding to the root system $A_{n - 1}$ or $B_{n}$ . We define a simplicial complex $Δ_{W}^{m}$ in terms of polygon dissections for such a group and any posit…