## Theory of Combinatorial Algorithms

Prof. Emo Welzl and Prof. Bernd Gärtner

# Mittagsseminar (in cooperation with M. Ghaffari, A. Steger and B. Sudakov)

 Mittagsseminar Talk Information

Date and Time: Thursday, June 21, 2012, 12:15 pm

Duration: 30 minutes

Location: CAB G51

Speaker: Uri Zwick (Tel Aviv University)

## Lower bounds for randomized pivoting rules

The simplex algorithm is one of the most widely used algorithms for solving linear programs in practice. It's worst case complexity, however, with essentially all known deterministic pivoting rules is exponential. There is, however, a randomized pivoting rule, called Random-Facet, discovered independently by Kalai and by Matousek, Sharir and Welzl, under which the expected running time of the simplex algorithm is subexponential. We obtain subexponential lower bounds for Random-Facet and two other randomized pivoting rules.

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