Simplicial complexes of triangular Ferrers boards |
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Authors: | Eric Clark Matthew Zeckner |
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Institution: | 1. Department of Mathematics, Western New England University, Springfield, MA, 01119, USA 2. Department of Mathematics, Adrian College, Adrian, MI, 49221, USA
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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≤n for some positive integer n. In particular, we will investigate enumerative properties of their facets, their homotopy type, and homology. |
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