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Polynomial Time Approximation Scheme for the Rectilinear Steiner Arborescence Problem

Author

Listed:
  • Bing Lu

    (University of Minnesota)

  • Lu Ruan

    (University of Minnesota)

Abstract

Given a set N of n terminals in the first quadrant of the Euclidean plane E 2, find a minimum length directed tree rooted at the origin o, connecting to all terminals in N, and consisting of only horizontal and vertical arcs oriented from left to right or from bottom to top. This problem is called rectilinear Steiner arborescence problem, which has been proved to be NP-complete recently (Shi and Su, 11th ACM-SIAM Symposium on Discrete Algorithms (SODA), January 2000, to appear). In this paper, we present a polynomial time approximation scheme for this problem.

Suggested Citation

  • Bing Lu & Lu Ruan, 2000. "Polynomial Time Approximation Scheme for the Rectilinear Steiner Arborescence Problem," Journal of Combinatorial Optimization, Springer, vol. 4(3), pages 357-363, September.
    • Handle: RePEc:spr:jcomop:v:4:y:2000:i:3:d:10.1023_a:1009826311973
    DOI: 10.1023/A:1009826311973
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