Simplicial Complexes of Triangular Ferrers Boards

Details Simplicial Complexes of Triangular Ferrers Boards Simplicial Complexes of Triangular Ferrers Boards

2010-08-26

arxiv.org/abs/1008.4525v1

Mathematics

Combinatorics

13 pages, 5 figures

Scientific paper

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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