"Non-separating co-circuits in 3-connected binary matroids" by Haidong Wu
 

Document Type

Lecture

Publication Date

9-5-2007

Abstract

In this talk, I will present some results on non-separating cocircuits in 3connected binary matroids. We give a best possible bound on the number of non-separating triads in minimally 3-connected binary matroids. We also give a characterization of all minimally 3-connected binary matroids by generalizing a graph result of Dawes (J. Combin. Theory Ser. B 40, (1986), 159-168). Finally, we give a counterexample of a conjecture of Wagner on minor-minimally 3-connected matroids. This is partially joint work with Anderson, McNulty, and Reid, respectively.

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