PDF (Whole thesis) whole_Lintzeris...pdf | Request a copy Full text restricted Available under University of Tasmania Standard License.

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
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 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
Item Statistics:	View statistics for this item

Actions (login required)

Item Control Page