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Results tagged with matroid-theory
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user 43715
Questions related to the field of Combinatorics called Matroid Theory. Relevant topics include matroids in Combinatorial Optimization, Lattice Theory, Algebraic Geometry, Polyhedral Theory, Rigidity, and Algorithms. For questions about Oriented Matroids, the oriented-matroids tag may be used.
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Characterizing bases of 0-1-vectors in $\mathbb{R}^n$ in terms of their partial order
Given $n \in \mathbb{N}$ and $V \subseteq \{0,1\}^n$, can properties of $V$ with respect to the vector space $\mathbb{R}^n$ (not $\mathbb{Z}_2^n$),
$V$ is linearly independent
$\dim \mathrm{span} V …
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