Algebraic and geometric representation of matroids
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Abstract
One of our first examples at the introduction of matroids was the following. Let T be an arbitrary field, V[T] be a vector space over T and S be a set of vectors from this vector space. This set leads to a matroid M = (S, F) as follows: X ⊆ S is independent (denoted by X ∈ F) if and only if the vectors, belonging to X are linearly independent over T.
Keywords
Geometric Representation Arbitrary Field Finite Geometry Parallel Element Matroid Theory
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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© Springer-Verlag Berlin Heidelberg 1989