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On the hyperplanes of a matroid

Published online by Cambridge University Press:  24 October 2008

D. J. A. Welsh
D. J. A. Welsh
Affiliation:
Merton College, Oxford
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Extract

Matroid theory was first studied by Whitney (1) as an abstract theory of linear independence in vector spaces. Recently its importance in graph theory has been noticed by Tutte (2), Edmonds (3) and Nash-Williams (4,5). Less interest has been shown in the extremely close relationship between matroids and incidence geometries. In this note we develop the more geometrical aspects of matroid theory, paying particular attention to the fundamental role of the hyperplanes of a matroid in this theory.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 65 , Issue 1 , January 1969 , pp. 11 - 18
Copyright
Copyright © Cambridge Philosophical Society 1969

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References

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