233 citations
- Foundation for Research and Technology HellasGR9 papers
- Centre National de la Recherche ScientifiqueFR3 papers
- Université Paris CitéFR3 papers
- Ames National LaboratoryUS2 papers
- Arizona State UniversityUS2 papers
- Astrophysique, Instrumentation et ModélisationFR2 papers
- CEA Paris-SaclayFR2 papers
- Commissariat à l'Énergie Atomique et aux Énergies AlternativesFR2 papers
- European Southern ObservatoryCL2 papers
- FORTH Institute of Electronic Structure and LaserGR2 papers
- Hungarian Academy of SciencesHU2 papers
- Iowa State UniversityUS2 papers
4 papers · 1 filter
On some enumerative aspects of generalized associahedra
Christos A. Athanasiadis
We prove a conjecture of F. Chapoton relating certain enumerative invariants of (a) the cluster complex associated by S. Fomin and A. Zelevinsky to a finite root system and (b) the…
Shellability of noncrossing partition lattices
Christos A. Athanasiadis, Thomas Brady, Colum Watt
We give a case-free proof that the lattice of noncrossing partitions associated to any finite real reflection group is EL-shellable. Shellability of these lattices was open for the…
Polygon dissections and some generalizations of cluster complexes
Eleni Tzanaki
Let be a Weyl group corresponding to the root system or . We define a simplicial complex in terms of polygon dissections for such a group and any posit…
Lower bound for the maximal number of facets of a 0/1 polytope
D. Gatzouras, A. Giannopoulos, N. Markoulakis
We show that there exist 0/1 polytopes in R^n with as many as (cn / (log n)^2)^(n/2) facets (or more), where c>0 is an absolute constant.