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

Prof. Emo Welzl and Prof. Bernd Gärtner

Mittagsseminar Talk Information |

**Date and Time**: Tuesday, May 29, 2012, 12:15 pm

**Duration**: 30 minutes

**Location**: OAT S15/S16/S17

**Speaker**: Luca Gugelmann

A sharp threshold p0 for e.g. a monotone graph property A in the random graph G(n,p) is a function of n and A such that for any epsilon > 0 we have that for p < (1-epsilon)p0 the probability that A holds is asymptotically 0 while for (1+epsilon)p0 it is asymptotically 1. A threshold function which is not sharp is called coarse. Many interesting graph properties are conjectured to have sharp thresholds, however proving that this is the case (let alone determining p0 exactly) is pretty hard in general. In his PhD thesis Ehud Friedgut proved several results characterizing properties with coarse thresholds. These results then can be used to prove by contradiction that other thresholds must be sharp. In this talk I will give an overview of these results and present a nice proof by Friedgut and Alon showing that the threshold for 2-colorability of a k-uniform hypergraph (with k > 2) is sharp.

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