L1 Embedding for Low Bandwidth Graphs
Adam Meyerson
UCLA
Friday, November 3rd, 2006, 3:30 pm
Wean Hall 7220
Abstract
We introduce the first embedding of graphs of low bandwidth into L1, with
distortion depending only upon the bandwidth. We extend this result to a
new graph parameter called tree-bandwidth, which is very similar to (but
more restrictive than) treewidth. This represents the first constant
distortion embedding of a non-planar class of graphs into L1. Our results
make use of a new technique that we call iterative embedding in which we
define coordinates for a small number of points at a time.
This is joint work with Douglas E. Carroll and Ashish Goel.