Mittagsseminar Talk Information

Date and Time: Friday, January 05, 2007, 12:15 pm

Duration: This information is not available in the database

Location: CAB G51

Speaker: Boris Aronov (Department of Computer and Information Science, Polytechnic Univ., Brooklyn NY)

Sparse geometric graphs with small dilation

Given a set S of N points in R^2, and an integer K such that 0<=K<N, we show that a geometric graph with vertex set S, at most N-1+K edges, and dilation O(N/(K+1)) can be computed in time O(N log N). We also construct N-point sets for which any geometric graph with N-1+K edges has dilation Omega(N/(K+1)); a slightly weaker statement holds if the points of S are required to be in convex position.

Higher dimensional analogues may also be discussed.

Here dilation of a straight-line Euclidean embedded graph is the maximum ratio between the graph distance (the Euclidean length of the shortest path) between a pair of its vertices to the Euclidean distance between them.

Joint work with Mark de Berg, Otfried Cheong, Joachim Gudmundsson, Herman Haverkort, Michiel Smid, and Antoine Vigneron.

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

Previous talks by year:   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 1.3392   |   admin login