Vertices of degree k in edge-minimal, k-edge-connected graphs
arXiv:0905.1064
Abstract
Halin showed that every edge minimal, k-vertex connected graph has a vertex of degree k. In this note, we prove the analogue to Halin's theorem for edge-minimal, k-edge-connected graphs. We show there are two vertices of degree k in every edge-minimal, k-edge-connected graph.
3 pages