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Economical presentations of matroids by functions


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Lintzeris, Constantine 1987 , 'Economical presentations of matroids by functions', PhD thesis, University of Tasmania.

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Matroid theory arose as an attempt to generalize and unify concepts
in such relatively distinct areas of mathematics as linear algebra, graph
theory, finite geometry and lattice theory. Consequently, there are
many equivalent ways of viewing matroids.
Our main interest in this thesis is the description of matroids
by integer-valued functions on the subsets of their ground-sets. Early
papers in this direction by Dilworth [14] and Ingleton [21] contain in
implicit form the following characterization of a matroid by its rank

Item Type: Thesis - PhD
Authors/Creators:Lintzeris, Constantine
Keywords: Matroids, Functions
Copyright Holders: The Author
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Copyright 1997 the Author - The University is continuing to endeavour to trace the copyright
owner(s) and in the meantime this item has been reproduced here in good faith. We
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Additional Information:

Thesis (Ph.D.)--University of Tasmania, 1989. Bibliography: p. 180-183

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