English

Recognizing Partial Cubes in Quadratic Time

Data Structures and Algorithms 2011-07-21 v2

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(n^2), improving previous O(nm)-time solutions.

Keywords

Cite

@article{arxiv.0705.1025,
  title  = {Recognizing Partial Cubes in Quadratic Time},
  author = {David Eppstein},
  journal= {arXiv preprint arXiv:0705.1025},
  year   = {2011}
}
R2 v1 2026-06-21T08:25:56.191Z