English

Finding paths of length k in O*(2^k) time

Data Structures and Algorithms 2010-01-05 v3 Discrete Mathematics

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,k)) time.

Keywords

Cite

@article{arxiv.0807.3026,
  title  = {Finding paths of length k in O*(2^k) time},
  author = {Ryan Williams},
  journal= {arXiv preprint arXiv:0807.3026},
  year   = {2010}
}

Comments

7 pages. Revised version to appear in Information Processing Letters

R2 v1 2026-06-21T11:02:16.678Z