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 M. Ghaffari, A. Steger and B. Sudakov)

Mittagsseminar Talk Information

Date and Time: Friday, July 05, 2002, 12:15 pm

Duration: This information is not available in the database

Location: This information is not available in the database

Speaker: Mordecai J. Golin (Hong Kong University of Science and Technology)

The Probabilistic Complexity of the Voronoi Diagram of Points on a Polyhedron

It is well known that the complexity, i.e., the number of vertices, edges and faces, of the 3-dimensional Voronoi diagram of n points can be as bad as Theta(n^2). Interest has recently arisen as to what happens, both in deterministic and probabilistic situations, when the 3-dimensional points are restricted to lie on the surface of a 2-dimensional object. In this talk we consider the situation when the points are drawn from a 2-dimensional Poisson distribution with rate n over the surface of a polyhedron in 3-space. We show that with high probability the complexity of their Voronoi diagram is close is n polylog(n). This is joint work with Hyeonsuk Na.

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