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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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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)
Keywords: Matroids, Functions
Copyright Holders: The Author
Copyright Information:

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
would be pleased to hear from the copyright owner(s).

Additional Information:

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

Date Deposited: 19 Dec 2014 02:31
Last Modified: 14 Jul 2017 04:16
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