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arXiv · 1008.4525

Simplicial Complexes of Triangular Ferrers Boards

Eric Clark·Matthew Zeckner
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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 $i\leq n$ for some positive integer $n$. In particular, we will investigate enumerative properties of their facets, their homotopy type, and homology.

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Eric Clark, Matthew Zeckner. 2012-09-26. Simplicial Complexes of Triangular Ferrers Boards. https://arxiv.org/abs/1008.4525

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