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DM
2006
91views more  DM 2006»
13 years 4 months ago
On the unique representability of spikes over prime fields
For an integer n 3, a rank-n matroid is called an n-spike if it consists of n three-point lines through a common point such that, for all k {1, 2, . . . , n - 1}, the union of e...
Zhaoyang Wu, Zhi-Wei Sun
JCT
2010
85views more  JCT 2010»
13 years 3 months ago
On inequivalent representations of matroids over non-prime fields
Abstract. For each finite field F of prime order there is a constant c such that every 4-connected matroid has at most c inequivalent representations over F. We had hoped that th...
Jim Geelen, Bert Gerards, Geoff Whittle