Document Type
Article
Publication Date
9-1-2011
Abstract
Let M be a 3-connected matroid other than a wheel or a whirl. In the next paper in this series, we prove that there is an element whose deletion from M or M* is 3-connected and whose only 3-separations are equivalent to those induced by M. The strategy used to prove this theorem involves showing that we can remove some element from a leaf of the tree of 3-separations of M. The main result of this paper is designed to allow us to do this. © 2010 Elsevier Inc.
Publication Source (Journal or Book title)
Advances in Applied Mathematics
First Page
463
Last Page
508
Recommended Citation
Oxley, J., Semple, C., & Whittle, G. (2011). Exposing 3-separations in 3-connected matroids. Advances in Applied Mathematics, 47 (3), 463-508. https://doi.org/10.1016/j.aam.2010.10.009
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