Edge connectivity in graphs: an expansion theorem
General Mathematics
2008-12-18 v2
Abstract
We show that if a graph is k-edge-connected, and we adjoin to it another graph satisfying a "contracted diameter less or equal to 2" condition, with minimal degree greater or equal to k, and some natural hypothesis on the edges connecting one graph to the other, the resulting graph is also k-edge-connected.
Cite
@article{arxiv.0803.3057,
title = {Edge connectivity in graphs: an expansion theorem},
author = {José Ignacio Alvarez-Hamelin and Jorge Rodolfo Busch},
journal= {arXiv preprint arXiv:0803.3057},
year = {2008}
}