2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/229654Halin 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 pagesCombinatorics05C40Vertices of degree k in edge-minimal, k-edge-connected graphstext