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On the matroids in which all hyperplanes are binary

✍ Scribed by S.R. Kingan; J.G. Oxley

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
345 KB
Volume
160
Category
Article
ISSN
0012-365X

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✦ Synopsis

In this paper, it is shown that, for a minor-closed class ~ of matroids, the class of matroids in which every hyperplane is in JΒ’' is itself minor-closed and has, as its excluded minors, the matroids U1,1 @ N such that N is an excluded minor for ,g. This result is applied to the class of matroids of the title, and several alternative characterizations of the last class are given.

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