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.
Relational Format
presentation
Recommended Citation
Wu, Haidong, "Non-separating co-circuits in 3-connected binary matroids" (2007). Combinatorics Seminar. 89.
https://egrove.olemiss.edu/math_combinatorics/89
