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Spanning trees with minimum weighted degrees
, Article Information Processing Letters ; Volume 104, Issue 3 , 2007 , Pages 113-116 ; 00200190 (ISSN) ; Mahini, H ; Mirjalali, K ; Oveis Gharan, S ; Sayedi Roshkhar, A. S ; Zadimoghaddam, M ; Sharif University of Technology
2007
Abstract
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