نتایج جستجو برای: rook

تعداد نتایج: 423  

Journal: :J. Comb. Theory, Ser. A 2014
Kenneth Barrese Nicholas A. Loehr Jeffrey B. Remmel Bruce E. Sagan

Goldman, Joichi, and White proved a beautiful theorem showing that the falling factorial generating function for the rook numbers of a Ferrers board factors over the integers. Briggs and Remmel studied an analogue of rook placements where rows are replaced by sets of m rows called levels. They proved a version of the factorization theorem in that setting, but only for certain Ferrers boards. We...

Journal: :Journal of Graph Algorithms and Applications 2017

Journal: :Journal of Combinatorial Theory, Series A 1984

Journal: :Electr. J. Comb. 1996
Timothy Y. Chow

Rook numbers of complementary boards are related by a reciprocity law. A complicated formula for this law has been known for about fifty years, but recently Gessel and the present author independently obtained a much more elegant formula, as a corollary of more general reciprocity theorems. Here, following a suggestion of Goldman, we provide a direct combinatorial proof of this new formula. MR ...

Journal: :Advances in Applied Mathematics 1996

Journal: :Journal of Algebraic Combinatorics 2015

Journal: :Science and Education of the Bauman MSTU 2012

Journal: :Dermatology 1992

Journal: :Journal of Algebra 2002

Journal: :ICGA Journal 1992

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