Simplicial complexes of triangular Ferrers boards

Authors:
Eric Clark;Matthew Zeckner
Affiliations:
Department of Mathematics, Western New England University, Springfield, USA 01119;Department of Mathematics, Adrian College, Adrian, USA 49221
Venue:
Journal of Algebraic Combinatorics: An International Journal
Year:
2013

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Abstract

We study the simplicial complex that arises from non-attacking rook placements on a subclass of Ferrers boards that have a i rows of length i where a i 0 and i驴n for some positive integer n. In particular, we will investigate enumerative properties of their facets, their homotopy type, and homology.