Department of Computer Science | Institute of Theoretical Computer Science | CADMO

Prof. Emo Welzl and Prof. Bernd Gärtner

Mittagsseminar Talk Information |

**Date and Time**: Thursday, February 07, 2008, 12:15 pm

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

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

**Speaker**: Viola Mészáros (Univ. of Szeged, Charles Univ. Prague)

It is a basic problem in geometric graph theory to decide which graphs can be drawn on a given point set with noncrossing straight-line edges. Eg. it is known that every outerplanar graph of n vertices can be drawn on any set of n points in general position in the plane. If the graph is a rooted tree, even the image of the root can be specified in advance and one can still find a proper embedding. We obtain new questions by considering colored point sets.

Problem (posed by Erdős around 1989): Determine or estimate the largest number l=l(n) such that, for every set of n red and n blue points on a circle, there exists a noncrossing alternating path consisting of l vertices. He showed that l(n)<=3/2*n+2. He conjectured that his configuration had been asymptotically extremal. Later this was disproved by Jan Kyncl, Janos Pach and Geza Toth. They conjecture that |l(n)-4/3*n|=o(n).

I'm going to present some of the previous results and my results related to the topic.

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