Recognizing partial cubes in quadratic time

  • Authors:
  • David Eppstein

  • Affiliations:
  • University of California, Irvine

  • Venue:
  • Proceedings of the nineteenth annual ACM-SIAM symposium on Discrete algorithms
  • Year:
  • 2008

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Abstract

We show how to test whether a graph with n vertices and m edges is a partial cube, and if so how to find a distance-preserving embedding of the graph into a hypercube, in the near-optimal time bound O(n2), improving previous O(nm)-time solutions.