Estimating the number of vertices of a polyhedron

  title={Estimating the number of vertices of a polyhedron},
  author={David Avis and Luc Devroye},
  journal={Inf. Process. Lett.},
Given a polyhedronP by a list of inequalities we develop unbiased estimates of the number of vertices and bases of P . The estimates are based on applying tree estimation methods to the reverse search technique. The time to generate an unbiased estimate is essentially bounded by the time taken to solve a linear program on P with the simplex method. Computational experience is reported. The method can be applied to estimate the output size of other enumeration problems solvable by reverse search… CONTINUE READING
Highly Cited
This paper has 18 citations. REVIEW CITATIONS