Abstract | ||
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We consider the class of graphs for which the edge connectivity is equal to the maximum number of edge-disjoint spanning trees, and the natural generalization to matroids, where the cogirth is equal to the number of disjoint bases. We provide descriptions of such graphs and matroids, showing that such a graph (or matroid) has a unique decomposition. In the case of graphs, our results are relevant for certain communication protocols. |
Year | Venue | Field |
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2014 | AUSTRALASIAN JOURNAL OF COMBINATORICS | Matroid,Discrete mathematics,Combinatorics,Indifference graph,Clique-sum,Chordal graph,Dual graph,Cograph,Graphic matroid,Pathwidth,Mathematics |
DocType | Volume | ISSN |
Journal | 59 | 2202-3518 |
Citations | PageRank | References |
0 | 0.34 | 11 |
Authors | ||
3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Robert Bailey | 1 | 24 | 3.01 |
Mike Newman | 2 | 38 | 5.81 |
Brett Stevens | 3 | 30 | 6.68 |