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Economical presentations of matroids by functions

posted on 2023-05-26, 20:32 authored by Lintzeris, Constantine
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.


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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 would be pleased to hear from the copyright owner(s). Thesis (Ph.D.)--University of Tasmania, 1989. Bibliography: p. 180-183

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