Inequivalent representations of ternary matroids

Geoff Whittle

doi:10.1016/0012-365x(94)00322-a

Inequivalent representations of ternary matroids

Geoff Whittle

https://doi.org/10.1016/0012-365x(94)00322-a

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Journal: Discrete Mathematics	Publication Date: Feb 1, 1996
Citations: 11	License type: elsevier-specific: oa user license

Affiliation: Victoria University of Wellington

#Ternary Matroids #Representations Of Matroids + Show 4 more

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Abstract

This paper considers representations of ternary matroids over fields other than GF(3). It is shown that a 3-connected ternary matroid representable over a finite field F has at most ¦F¦ - 2 inequivalent representations over F. This resolves a special case of a conjecture of Kahn in the affirmative.

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