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Enumerative combinatorics, graph theory, order theory, posets, matroids, designs and other discrete structures. It also includes algebraic, analytic and probabilistic combinatorics.

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can the Newton's identities and Dodgson's condensations be proved by Gessel-Viennot's lemma?

Gessel-Viennot's simple but powerful lemma has many striking applications, such as counting noninsecting paths , proving the Jacob-Trudi's identities, and solving the aztec diamond problem. So I wonde …
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