A note on packing spanning trees in graphs and bases in matroids
Combinatorics
2014-02-10 v4
Abstract
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.
Keywords
Cite
@article{arxiv.1203.1014,
title = {A note on packing spanning trees in graphs and bases in matroids},
author = {Robert F. Bailey and Mike Newman and Brett Stevens},
journal= {arXiv preprint arXiv:1203.1014},
year = {2014}
}
Comments
15 pages, 5 figures. Supersedes arXiv:1012.2478