The non-uniform Bounded Degree Minimum Diameter Spanning Tree problem with an application in P2P networking

  • Authors:

  • Jakarin Chawachat;Jittat Fakcharoenphol;Wattana Jindaluang

  • Affiliations:

  • Department of Computer Engineering, Kasetsart University, Bangkok 10900, Thailand;Department of Computer Engineering, Kasetsart University, Bangkok 10900, Thailand;Department of Computer Engineering, Kasetsart University, Bangkok 10900, Thailand

  • Venue:
  • Information Processing Letters
  • Year:
  • 2012

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Abstract

This paper considers the Bounded Degree Minimum Diameter Spanning Tree problem (BDST problem) with non-uniform degree bounds. In this problem, we are given a metric length function @? over a set V of n nodes and a degree bound B"v for each v@?V, and want to find a spanning tree with minimum diameter such that each node v has degree at most B"v. We present a simple extension of an O(logn)-approximation algorithm for this problem with uniform degree bounds of Konemann, Levin, and Sinha [J. Konemann, A. Levin, A. Sinha, Approximating the degree-bounded minimum diameter spanning tree problem, in: Algorithmica, Springer, 2003, pp. 109-121] to work with non-uniform degree bounds. We also show that this problem has an application in the peer-to-peer content distribution. More specifically, the Minimum Delay Mesh problem (MDM problem) introduced by Ren, Li and Chan [D. Ren, Y.-T. Li, S.-H. Chan, On reducing mesh delay for peer-to-peer live streaming, in: INFOCOM, 2008, pp. 1058-1066] under a natural assumption can be reduced to this non-uniform case of the BDST problem.