Geodesic
Simplicial complexes of triangular Ferrers boards
Journal of Algebraic Combinatorics, Tome 38 (2013) no. 1, pp. 1-14.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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.
Keywords: rooks, simplicial complex, homology, discrete Morse theory, homotopy, Stirling numbers 
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     author = {Clark, Eric and Zeckner, Matthew},
     title = {Simplicial complexes of triangular {Ferrers} boards},
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}
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Clark, Eric; Zeckner, Matthew. Simplicial complexes of triangular Ferrers boards. Journal of Algebraic Combinatorics, Tome 38 (2013) no. 1, pp. 1-14. http://geodesic.mathdoc.fr/item/JAC_2013__38_1_a11/