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, 2018, 12:15 pm

**Duration**: 30 minutes

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

**Speaker**: Pascal Pfister

Let H be a a fixed graph. H-bootstrap percolation is then defined as follows. We start with a set G \subseteq E(K_n) of initially "infected" edges. Afterwards, the process proceeds in rounds. At time t ≥ 1, an edge e becomes infected if there exists a copy of H in K_n for which all edges except e are infected at time t-1. We say that a graph G percolates in K_n if eventually all edges of E(K_n) are infected. We study this process in the setting where the initial graph G is a random graph G_{n,p} and H is the complete graph K_r. We determine the critical probability p_c(n,K_r) for K_r-bootstrap percolation up to a constant factor, therewith improving the currently best known bounds for p_c(n,K_r) and answering an open question posed by Balogh, Bollobàs and Morris.

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