Name
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. |
Year | DOI | Venue |
|---|---|---|
2007 | 10.1016/j.ejc.2006.01.007 | Eur. J. Comb. |
Keywords | DocType | Volume |
resulting tree,certain natural condition,earlier paper,natural equivalence,3-connected matroid,degree-2 vertex,uniqueness property,3-connected matroids II | Journal | 28 |
Issue | ISSN | Citations |
4 | 0195-6698 | 11 |
PageRank | References | Authors |
0.93 | 10 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| James Oxley | 1 | 397 | 57.57 |
| Charles Semple | 2 | 432 | 47.99 |
| Geoff Whittle | 3 | 471 | 57.57 |