Spanning Cover Inequalities for the Capacitated Vehicle Routing Problem

In the k-Minimum Spanning Subgraph problem with d-Degree Center we want to find a minimum cost spanning connected subgraph with n - 1 + k edges and at least degree d in the center vertex, with n being the number of vertices. In this paper we describe an algorithm for this problem and present correctness demonstrations which we believe are simpler than those found in the literature. A solution for the k-Minimum Spanning Subgraph problem with d-Degree can be used to formulate spanning cover inequalities for the capacitated vehicle routing problem.