Approximation algorithms for metric tree cover and generalized tour and tree covers

Given a weighted undirected graph $G=(V,E)$, a tree (respectively tour) cover of an edge-weighted graph is a set of edges which forms a tree (resp. closed walk) and covers every other edge in the graph. The tree (resp. tour) cover problem is of finding a minimum weight tree (resp. tour) cover of $G$. Arkin, Halld\’orsson … Read more