, Volume 38, Issue 3, pp 441-449
Date: 05 Dec 2003

Improved Approximations for Tour and Tree Covers

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A tree (tour) cover of an edge-weighted graph is a set of edges which forms a tree (closed walk) and covers every other edge in the graph. Arkin et al. give approximation algorithms with ratios 3.55 (tree cover) and 5.5 (tour cover). We present algorithms with a worst-case ratio of 3 for both problems.