Department of Computer Science | Institute of Theoretical Computer Science | CADMO

Theory of Combinatorial Algorithms

Prof. Emo Welzl and Prof. Bernd Gärtner

Mittagsseminar (in cooperation with A. Steger, D. Steurer and B. Sudakov)

Mittagsseminar Talk Information

Date and Time: Tuesday, August 31, 2004, 12:15 pm

Duration: This information is not available in the database

Location: This information is not available in the database

Speaker: József Balogh (The Ohio State Univ.)

The Klee-Minty random edge chain moves with linear speed

We investigate the behavior of a randomized simplex algorithm on special linear programs. We use combinatorial models for Klee-Minty cubes, where we prove quadratic bounds for the expected running time on the random-edge simplex algorithm, improving a result of Gartner, Henk and Ziegler.

The model is the following: Consider a random 0,1 vector of length n. Choose uniformly randomly a 1 digit, and flip it and every digits to its right. The question is that what the expected time is to reach the all 0 vector. In particular we study the following (equivalent or dual) model: Starting from any configuration with finitely many 1's to the left of the origin, evolving by flipping each 1 to 0 exponentially at rate one, such that when a 1 flips, all bits to its right also flip. We show that the leftmost 1 moves right with linear speed.

(Joint work with Robin Pemantle )

Upcoming talks     |     All previous talks     |     Talks by speaker     |     Upcoming talks in iCal format (beta version!)

Previous talks by year:   2024  2023  2022  2021  2020  2019  2018  2017  2016  2015  2014  2013  2012  2011  2010  2009  2008  2007  2006  2005  2004  2003  2002  2001  2000  1999  1998  1997  1996  

Information for students and suggested topics for student talks

Automatic MiSe System Software Version 1.4803M   |   admin login