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

Date and Time: Thursday, March 12, 2009, 12:15 pm

Duration: This information is not available in the database

Location: OAT S15/S16/S17

Speaker: Michael Belfrage

Online Ramsey games involving trees

Consider the following one-player game played on a graph with n vertices: one at the time the edges of the complete graph are presented in a uniformly at random order, and as each edge appears, the player (henceforth called Painter) immediately has to color it with one of $r$ available colors. Painter's aim is to color as many edges as possible without creating a monochromatic copy of some fixed given graph $G$.

Many variations and instances of this game have been studied previously. Here, we study the case when the fixed graph $G$ is a tree. We show that the (asymptotic) number of edges Painter is typically able to color is directly linked to the existence of a winning strategy for an adversary in a variant of the corresponding deterministic two-player game. Moreover, we show that even in the simplest nontrivial case where $G$ is a path, the natural greedy strategy (as discussed elsewhere) is not always an optimal strategy for Painter.

Joint work with Torsten Mütze and Reto Spöhel.

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