Lattice paths and determinants
The essence of mathematics is proving theorems — and so, that is what mathematicians do: they prove theorems. But to tell the truth, what they really want to prove, once in their lifetime, is a Lemma, like the one by Fatou in analysis, the Lemma of Gauss in number theory, or the Burnside-Frobenius Lemma in combinatorics.
KeywordsBipartite Graph Acyclic Directed Graph Lattice Path Minimal Index Hook Length
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I. M. Gessel
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