Counting of paths and the multiplicity of determinantal rings

Details Counting of paths and the multiplicity of determinantal rings Counting of paths and the multiplicity of determinantal rings

2002-10-24

arxiv.org/abs/math/0210375v1

Mathematics

Commutative Algebra

23 pages

Scientific paper

In this paper, we derive several formulas of counting families of
non-intersecting paths for two-sided ladder-shaped regions. As an application,
we give a new proof to a combinatorial interpretation of Fibonacci numbers
obtained by G. Andrews in 1974.

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