𝔖 Bobbio Scriptorium
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On the Vector Representation of Matroids

✍ Scribed by Piff, M. J.; Welsh, D. J. A.


Book ID
120097269
Publisher
Oxford University Press
Year
1970
Tongue
English
Weight
148 KB
Volume
s2-2
Category
Article
ISSN
0024-6107

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πŸ“œ SIMILAR VOLUMES


Vector representable matroids of given r
✍ LΓ‘szlΓ³ Babai πŸ“‚ Article πŸ“… 1978 πŸ› Elsevier Science 🌐 English βš– 471 KB

A simple way of as,;ociating a matroid of prescribed rank with a graph is shown. The matroids so corhstrueted are re.presentable over any sufficiently large field. Their ase is demonstrated by the fallowing result: Given an integer k >~ 3 and a hmction G associating a group with each subsel of a set

Inequivalent representations of ternary
✍ Geoff Whittle πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 327 KB

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 IFI -2 inequivalent representations over F. This resolves a special case of a conjecture of Kahn in the affirmative.