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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.

10 votes
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Fundamental circuit characterization of matroid independence complexes

I have the following characterization of independence complexes of matroids, which I think is standard but I can't find a reference. Here it goes: A pure simplicial complex $\Delta$ is the independe …
José Alejandro Samper's user avatar
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Basis of cone lattice

I think that $\alpha_1, \dots \alpha_d$ are called lattice ray generators and $E$ is the set of lattice points in the fundamental domain. It is a special case of Gordan's lemma: the case when the cone …
José Alejandro Samper's user avatar