Finding paths of length k in O∗(2k) time

  • Authors:
  • Ryan Williams

  • Affiliations:
  • Computer Science Department, Carnegie Mellon University, Pittsburgh, PA, USA

  • Venue:
  • Information Processing Letters
  • Year:
  • 2009

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Abstract

We give a randomized algorithm that determines if a given graph has a simple path of length at least k in O(2^k@?poly(n)) time. Our method extends a recent O(2^3^k^/^2@?poly(n))=