Speaker
Charles Semple
Description
Tutte showed that wheels and whirls are precisely the 3-connected matroids in which every element is contained in a 3-element circuit and a 3-element cocircuit. In fact, wheels and whirls have the stronger property that there is a circular ordering of their ground set such that every two consecutive elements are contained in a 3-element circuit and a 3-element cocircuit. In this talk, we investigate matroids satisfying this property and discuss some recent results. This is joint work with Nick Brettell, Deborah Chun, Tara Fife, and Gerry Toft.
Primary author
Co-authors
Nick Brettell
(Victoria University of Wellington)
Deborah Chun
(West Virginia University Institute of Technology)
Tara Fife
Gerry Toft
