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

Prof. Emo Welzl and Prof. Bernd Gärtner

Mittagsseminar Talk Information |

**Date and Time**: Tuesday, October 21, 2014, 12:15 pm

**Duration**: 30 minutes

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

**Speaker**: Michael Krivelevich (Tel Aviv University)

Consider the following activation process in graphs: a vertex is active either if it belongs to a set of initially activated vertices, or at some point it has at least 2 active neighbors. (In perhaps more commonly used terms, this is the so called bootstrap percolation with a threshold parameter $r=2$.)

A CONTAGIOUS SET in a graph $G$ is a set whose activation results with the entire graph being active. Let $m(G,2)$ be the minimum size of a contagious set in $G$.

Recently, in a joint work with Uriel Feige and Daniel Reichman, we showed that for the binomial random graph $G\sim G(n,p)$, with $p=d/n$ and $1 \ll d \ll n^{1/2}$, the value of the parameter $m(G,2)$ is typically of the asymptotic order $n/(d^2\log d)$.

In this talk I will discuss this result, as well as some prior/relevant papers.

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