, Volume 38, Issue 3, pp 441–449 | Cite as

Improved Approximations for Tour and Tree Covers

  • Jochen  Könemann
  • Goran  Konjevod
  • Ojas  Parekh
  • Amitabh  Sinha


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.

Approximation algorithms Graph algorithms Network design 


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Copyright information

© Springer-Verlag 2003

Authors and Affiliations

  1. 1.Graduate School of Industrial Administration, Carnegie Mellon University, Pittsburgh, PA15213-3890USA
  2. 2.Department of Mathematical Sciences, Carnegie Mellon University, Pittsburgh, PA 15213-3890USA

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