Polygon Dissections Complexes are Shellable
Duško Jojić · Philologist – Journal Of Langugage, Literary And Cultural Studies (University of Banja Luka) · 2017
All dissections of a convex (mn + 2)-gons into (m + 2)-gons arefacets of a simplicial complex. This complex is introduced by S. Fomin and A.V. Zelevinsky in [7]. We reprove the result of E. Tzanaki about shellability of such complex by nding a concrete shelling order. Also, we use this shelling order to nd a combinatorial interpretation of h-vector and to describe thegenerating facets of these complexes.