An $0(n \log n)$ Algorithm for Bandwidth of Interval Graphs

  • Authors:
  • Alan P. Sprague

  • Affiliations:
  • -

  • Venue:
  • SIAM Journal on Discrete Mathematics
  • Year:
  • 1994

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Abstract

This paper presents an $0(n \log n)$ algorithm for the bandwidth problem on interval graphs. Given an interval model for an interval graph with $n$ vertices and an integer $k$, the algorithm constructs a layout of bandwidth at most $k$, if there exists one. Two previous algorithms for this problem have been published. One of them is flawed; the other is by Kleitman and Vohra and has complexity $O(nk)$.