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: Thursday, February 07, 2013, 12:15 pm

Duration: 45 minutes

Location: OAT S15/S16/S17

Speaker: Daniel Graf

The Cops and Robbers Problem

The game of cops and robbers is played on the vertices of some fixed graph G. Turn by turn one or several cops and a single robber move along the edges of G. The cops win if they capture the robber. The cop number of G is the minimum number of cops needed to win the game.

A long time ago H. Meyniel conjectured that O(n^(1/2)) cops are enough for any connected G on n vertices. M. Aigner and M. Fromme showed that 3 cops are enough for any planar graph. A recent upper bound for general graphs by A. Scott and B. Sudakov improves on several previous results.

In this talk I present an analysis of the game with a single cop as well as several lower and upper bounds on the cop number.

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