Spanning trees with minimum weighted degrees

Given a metric graph G, we are concerned with finding a spanning tree of G where the maximum weighted degree of its vertices is minimum. In a metric graph (or its spanning tree), the weighted degree of a vertex is defined as the sum of the weights of its incident edges. In this paper, we propose a 4.5-approximation algorithm for this problem. We also prove it is NP-hard to approximate this problem within a 2 − ε factor. © 2007 Elsevier B.V. All rights reserved.

• Type: Journal
• Year: 2007
• Where: IPL
• Authors: Mohammad Ghodsi, Hamid Mahini, Kian Mirjalali, Shayan Oveis Gharan, Amin S. Sayedi-Roshkhar, Morteza Zadimoghaddam
• Keywords: IPL 2007, Metric Graph, Spanning Tree, Weighted Degree