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An Improved Approximation Algorithm for Multicast k-Tree Routing

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  • Guohui Lin

    (University of Alberta. Edmonton)

Abstract

An improved approximation algorithm is presented in this paper for the multicast k-tree routing problem. The algorithm has a worst case performance ratio of (2.4 + ρ), where ρ is the best approximation ratio for the metric Steiner tree problem (and is about 1.55 so far). The previous best approximation algorithm for the multicast k-tree routing problem has a performance ratio of 4. Two techniques, weight averaging and tree partitioning, are developed to facilitate the algorithm design and analysis.

Suggested Citation

  • Guohui Lin, 2005. "An Improved Approximation Algorithm for Multicast k-Tree Routing," Journal of Combinatorial Optimization, Springer, vol. 9(4), pages 349-356, June.
    • Handle: RePEc:spr:jcomop:v:9:y:2005:i:4:d:10.1007_s10878-005-1776-x
    DOI: 10.1007/s10878-005-1776-x
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    Cited by:

    1. Mohamed Saad & Tamás Terlaky & Anthony Vannelli & Hu Zhang, 2008. "Packing trees in communication networks," Journal of Combinatorial Optimization, Springer, vol. 16(4), pages 402-423, November.

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