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A fast algorithm for computing optimal rectilinear Steiner trees for extremal point sets

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Algorithms and Computations (ISAAC 1995)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1004))

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Abstract

We present a fast algorithm to compute an optimal rectilinear Steiner tree for extremal point sets. A point set is extremal if each point lies on the boundary of a rectilinear convex hull of the point set. Our algorithm can be used in homotopic routing in VLSI layout design and it runs in O(k 2n) time, where n is the size of the point set and k is the size of its rectilinear convex hull.

This work is supported in part by the RGC CERG grant HKUST 190/93E.

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Authors and Affiliations

  1. Department of Computer Science, The Hong Kong University of Science and Technology, Clear Water Bay, Hong Kong

    Siu-Wing Cheng & Chi-Keung Tang

Authors
  1. Siu-Wing Cheng
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  2. Chi-Keung Tang
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Editor information

John Staples Peter Eades Naoki Katoh Alistair Moffat

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© 1995 Springer-Verlag Berlin Heidelberg

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Cheng, SW., Tang, CK. (1995). A fast algorithm for computing optimal rectilinear Steiner trees for extremal point sets. In: Staples, J., Eades, P., Katoh, N., Moffat, A. (eds) Algorithms and Computations. ISAAC 1995. Lecture Notes in Computer Science, vol 1004. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0015438

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  • DOI: https://doi.org/10.1007/BFb0015438

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-60573-7

  • Online ISBN: 978-3-540-47766-2

  • eBook Packages: Springer Book Archive

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