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, April 02, 2019, 12:15 pm

Duration: 30 minutes

Location: OAT S15/S16/S17

Speaker: Alexey Pokrovskiy (Birkbeck, University of London)

Slow graph Bootstrap percolation

Graph-bootstrap percolation, also known as weak saturation, was introduced by Bollobás. For a fixed graph H, the H-bootstrap percollation process is defined as follows. We start with initial graph of “infected” set of edges, and we infect new edges in a sequence of rounds. In every round, given a set of previously infected edges G, we infect each non-infected edge e if it completes a new copy of H in G. A question raised by Bollobás asks for the maximum number of rounds the process can run before it stabilizes (i.e. until it stops infecting new edges). In this talk we will consider this question for the Kr-bootstrap percolation process for r at least 5 and improve previous bounds on the problem. This is joint work with Balogh, Kronenberg, and Szabó.

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