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

Prof. Emo Welzl and Prof. Bernd Gärtner

Mittagsseminar Talk Information |

**Date and Time**: Tuesday, October 23, 2012, 12:15 pm

**Duration**: 30 minutes

**Location**: CAB G51

**Speaker**: Sonoko Moriyama (Tohoku University)

The smallest enclosing ball problem (for short, the SEB problem) is known as one of classical problems of computational geometry. Given a set of n points in a d dimensional space, this problem is to find the d dimensional ball with the smallest radius which encloses all the n points of P. Szabo and Welzl in 2001 showed that if all the n points are affinely independent, the SEB problem is formulated as finding a unique sink on a unique sink orientation on an n-dimensional cube, called an SEB cube. There is another combinatorial condition defined on a unique sink orientation, Holt-Klee condition proposed by Holt and Klee in 1999. The Holt-Klee condition represents a directed version of the n-connectivity property of a unique sink orientation. In this talk, we prove that every SEB cube satisfies the Holt-Klee condition.

Upcoming talks | All previous talks | Talks by speaker | Upcoming talks in iCal format (beta version!)

Previous talks by year: 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