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Algorithms for rectilinear optimal multicast tree problem

  • Jan-Ming Ho
  • M. T. Ko
  • Tze-Heng Ma
  • Ting-Yi Sung
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 650)

Abstract

Given a point s called the signal source and a set D of points called the sinks, a rectilinear multicast tree is defined as a tree T=(V, E) such that sV, D\(\subseteq\)V, and the length of each path on T from the source s to a sink t equals the L1-distance from s to t. A rectilinear multicast tree is said to be optimal if the total length of T is minimized. The optimal multicast tree (OMT) problem in general is NP-complete [1, 2, 4], while the complexity of the rectilinear version is still open. In this paper, we present algorithms to solve the rectilinear optimal multicast tree (ROMT) problem. Our algorithms require O(n3k) and O(n23 n ) time, where n denotes ¦D¦ and k is the number of dominating layers defined by s.

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References

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Copyright information

© Springer-Verlag Berlin Heidelberg 1992

Authors and Affiliations

  • Jan-Ming Ho
    • 1
  • M. T. Ko
    • 1
  • Tze-Heng Ma
    • 1
  • Ting-Yi Sung
    • 1
  1. 1.Institute of Information ScienceAcademia SinicaTaiwan, R. O. C.

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