The non-uniform Bounded Degree Minimum Diameter Spanning Tree problem with an application in P2P networking
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 ℓ 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 s...
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| Main Authors: | , , |
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| Format: | Article |
| Published: |
Elsevier
2015
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| Subjects: | |
| Online Access: | http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=84865840326&origin=inward http://cmuir.cmu.ac.th/handle/6653943832/38638 |
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| Institution: | Chiang Mai University |
| Summary: | 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 ℓ 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 Könemann, Levin, and Sinha [J. Könemann, 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. © 2012 Elsevier B.V. All rights reserved. |
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