Journal of Combinatorial Optimization

, Volume 9, Issue 3, pp 243–262 | Cite as

On Approximation Ratios of Minimum-Energy Multicast Routing in Wireless Networks

  • Hongxu Cai
  • Yingchao Zhao


In the broadcasting of ad hoc wireless networks, energy conservation is a critical issue. Three heuristic algorithms were proposed in Wieselthier et al.(2001) for finding approximate minimum-energy broadcast routings: MST(minimum spanning tree), SPT(shortest-path tree), and BIP(broadcasting incremental power). Wan et al.(2001) characterized their performance in terms of approximation ratios. This paper points out some mistakes in the result of Wan et al.(2001), and proves that the upper bound of sum of squares of lengths of the edges in Euclidean MST in unit disk can be improved to 10.86, thus improves the approximation ratios of MST and BIP algorithm.


ad hoc wireless networks broadcasting MST 


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Copyright information

© Springer Science + Business Media, Inc. 2005

Authors and Affiliations

  1. 1.State Key Lab of Intelligent Technology & System, Department of Computer Science and TechnologyTsinghua UniversityChina

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