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

Prof. Emo Welzl and Prof. Bernd Gärtner

Mittagsseminar Talk Information |

**Date and Time**: Tuesday, November 22, 2005, 12:15 pm

**Duration**: This information is not available in the database

**Location**: This information is not available in the database

**Speaker**: Graham Brightwell (London School of Economics)

It is well-known that there is a trio of "three-sided dice" A, B and C, with the following property. If A and B are rolled, then the probability that the number showing on die A is greater than that on die B is strictly greater than 1/2 -- A beats B -- while similarly B beats C and C beats A. There is also a set of seven three-sided dice such that, for any pair of them, there is a third that beats both. However, we show that, no matter how many three-sided dice we have, there will always be three dice in the collection that cannot be simultaneously beaten -- a "dominating set" of size three. Generally, we investigate the relationship between the number of sides on the dice and the minimum size of a dominating set. The tools used are mostly combinatorial, with a little elementary game theory and some combinatorial geometry thrown in.

(Joint work with Noga Alon, Hal Kierstead, Sasha Kostochka and Peter Winkler.)

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