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Transform a submodular function into a monotone one?

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#combinatorics #optimization #monotone-functions #matroids
83
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Understanding $\mathfrak{S}_n$ invariant algebras via the Orlik-Solomon algebra

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#linear-algebra #representation-theory #symmetric-groups #characters #matroids
82
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Intersection of flats containing X

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#matroids
116
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Example of a representable matroid

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#graph-theory #matroids
935
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What is an independent subset of a set?

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#elementary-set-theory #approximation-theory #matroids
43
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Is there a set partition associated with a matroid

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#combinatorics #matroids
415
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Properties of submodular functions

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#optimization #matroids #combinatorial-designs
561
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Matroid: another version of basis exchange property

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#combinatorics #matroids
247
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Dimension of the Circuit Space of a Matroid

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#linear-algebra #graph-theory #vector-spaces #homology-cohomology #matroids
192
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Is the following a matroid?

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#combinatorics #graph-theory #bipartite-graphs #matroids
111
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Go from one partition of the ground set to another using basis exchanges

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#combinatorics #graph-theory #matroids
71
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Let $V$ be a vector space. Let $S=\{v_1,v_2,\cdots,v_n\}\subseteq V$. Let $I=\{X\subseteq S:X\text{ is linearly independent}\}$ ...

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#matroids
80
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A base of a matroid contains its independent subset and is disjoint of an independent subset of its base.

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#linear-algebra #matroids
117
Views

When is the circuit elimination axiom an equality?

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#reference-request #matroids
64
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Subsets in the context of matroid independent sets

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#discrete-mathematics #matroids

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