# Mittagsseminar (in cooperation with A. Steger, D. Steurer and B. Sudakov)

__Mittagsseminar Talk Information__ | |

**Date and Time**: Thursday, November 27, 2008, 12:15 pm

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

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

**Speaker**: Reto Spöhel

## Small subgraphs in random graphs and the power of multiple choices: The offline case

Consider the following problem: We are given a graph $G_{n,m}$ drawn uniformly at random from all graphs
on $n$ vertices with $m$ edges, and a random partition of its edge set into sets of size $r$ called $r$-sets.
Here $r\geq 2$ is a fixed integer, and we assume w.l.o.g. that $m$ is divisible by $r$. We want to select
one edge from each $r$-set such that the resulting subgraph of $G_{n,m}$ does not contain a copy of some
fixed forbidden graph $F$. How large can $m=m(n)$ be such that this is still possible with probability $1-o(1)$?

We prove an explicit threshold function $m_0(F,r,n)$ for this problem, valid for any graph $F$ and any integer $r\geq 2$.

Joint work with Michael Krivelevich and Angelika Steger.

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