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On the Vector Representations of Induced Matroids

โœ Scribed by Lindstrom, B.


Book ID
120094488
Publisher
Oxford University Press
Year
1973
Tongue
English
Weight
164 KB
Volume
5
Category
Article
ISSN
0024-6093

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๐Ÿ“œ SIMILAR VOLUMES


On the Vector Representation of Matroids
โœ Piff, M. J.; Welsh, D. J. A. ๐Ÿ“‚ Article ๐Ÿ“… 1970 ๐Ÿ› Oxford University Press ๐ŸŒ English โš– 148 KB
Vector representable matroids of given r
โœ Lรกszlรณ Babai ๐Ÿ“‚ Article ๐Ÿ“… 1978 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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

On Inequivalent Representations of Matro
โœ James Oxley; Dirk Vertigan; Geoff Whittle ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 586 KB

Kahn conjectured in 1988 that, for each prime power q, there is an integer n(q) such that no 3-connected GF(q)-representable matroid has more than n(q) inequivalent GF(q)-representations. At the time, this conjecture was known to be true for q=2 and q=3, and Kahn had just proved it for q=4. In this