Title

The structure of the 3-separations of 3-connected matroids II

Document Type

Article

Publication Date

5-1-2007

Abstract

The authors showed in an earlier paper that there is a tree that displays, up to a natural equivalence, all non-trivial 3-separations of a 3-connected matroid. The purpose of this paper is to show that if certain natural conditions are imposed on the tree, then it has a uniqueness property. In particular, suppose that, from every pair of edges that meet at a degree-2 vertex and have their other ends of degree at least three, one edge is contracted. Then the resulting tree is unique. © 2006 Elsevier Ltd. All rights reserved.

Publication Source (Journal or Book title)

European Journal of Combinatorics

First Page

1239

Last Page

1261

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