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Economical presentations of matroids by functions
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Abstract
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
function.
Item Type: | Thesis - PhD |
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Authors/Creators: | Lintzeris, Constantine |
Keywords: | Matroids, Functions |
Copyright Holders: | The Author |
Copyright Information: | Copyright 1997 the Author - The University is continuing to endeavour to trace the copyright |
Additional Information: | Thesis (Ph.D.)--University of Tasmania, 1989. Bibliography: p. 180-183 |
Item Statistics: | View statistics for this item |
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