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Linear time algorithms for k-cutwidth problem

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Algorithms and Computation (ISAAC 1992)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 650))

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Abstract

The Min Cut Linear Arrangement problem is to find a linear arrangement for a given graph such that the cutwidth is minimized. This problem has important applications in VLSI layout systems. It is known that this problem is NP-complete when the input is a general graph with maximum vertex degree at most 3. In this paper, we will first present a linear time algorithm to recognize the small cutwidth trees. The approach we used in this algorithm can then be easily extended to recognize the general graphs with cutwidth 3 in O(n) time.

This work was supported by the National Science Council, Taiwan, R.O.C. Grant NSC 80-0404-E194-03

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Authors and Affiliations

  1. Institute of Computer Science and Information Engineering, National Chung Cheng University, Chaiyi, Taiwan 62107, ROC

    Maw-Hwa Chen & Sing-Ling Lee

Authors
  1. Maw-Hwa Chen
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  2. Sing-Ling Lee
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Editor information

Toshihide Ibaraki Yasuyoshi Inagaki Kazuo Iwama Takao Nishizeki Masafumi Yamashita

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© 1992 Springer-Verlag Berlin Heidelberg

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Chen, MH., Lee, SL. (1992). Linear time algorithms for k-cutwidth problem. In: Ibaraki, T., Inagaki, Y., Iwama, K., Nishizeki, T., Yamashita, M. (eds) Algorithms and Computation. ISAAC 1992. Lecture Notes in Computer Science, vol 650. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-56279-6_54

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  • DOI: https://doi.org/10.1007/3-540-56279-6_54

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-56279-5

  • Online ISBN: 978-3-540-47501-9

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