English

Packing spanning trees and the $k$-tree protocol

Combinatorics 2012-03-07 v2

Abstract

We provide a structural description of, and invariants for, maximum spanning tree-packable graphs, i.e. those graphs G for which the edge connectivity of G is equal to the maximum number of edge-disjoint spanning trees in G. These graphs are of interest for the k-tree protocol of Itai and Rodeh [Inform. and Comput. 79 (1988), 43-59].

Keywords

Cite

@article{arxiv.1012.2478,
  title  = {Packing spanning trees and the $k$-tree protocol},
  author = {Robert F. Bailey and Brett Stevens},
  journal= {arXiv preprint arXiv:1012.2478},
  year   = {2012}
}

Comments

This paper has been superseded by arXiv:1203.1014 "On packing spanning trees in graphs and bases in matroids" by Robert F. Bailey, Mike Newman and Brett Stevens

R2 v1 2026-06-21T16:57:06.858Z