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Linear representations of matroids
Origins and basic concepts
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3-connected Amer application arcs arrangements of hyperplanes binary matroid Birkhoff Brylawski chain-group Choose chromatic polynomial circuit of graphs closed sets cocircuit coefficients coloop columns Combin combinatorial geometries complement components connected line contains corresponding Crapo cross-cut cubical network cycle decomposition defined definition denote dependence dimension Discrete Math distinct dual duality edges equivalent exchange axiom exchange lattice exists flat follows geometric lattice graph G Hence homology hyperplanes independent set induction integers intersection isomorphic Kung Lemma Let G linear graph London Math loop Mathematical matrix matroid theory Mobius function modular modular lattice non-separable graph nullity obtained paper partially ordered set partition planar graphs plane points polynomial Proc projective geometry Proof properties proved quotient rank function re-entrant path regular matroids relation representation result Rota satisfies semimodular sequence strong map subset subspace Suppose Theorem topology transversal Tutte Tutte polynomial Univ vector space vertex vertices Whitney Z-arc