School of Technology and Computer Science Seminars

Local Search for Geometric Set Cover Problems

by Dr. Kasturi Varadarajan (University of Iowa, USA)

Wednesday, July 28, 2010 from to (Asia/Kolkata)
at Colaba Campus ( D-405 )
Description
In SocG 2009, Mustafa and Ray showed that a local search algorithm is, somewhat surprisingly, a PTAS for certain geometric set cover/hitting set problems. In this context, a PTAS is a scheme that for any eps > 0, yields an algorithm that runs in polynomial time and returns a solution whose size is at most (1 + eps) times that of the optimal set cover/hitting set. A similar PTAS was presented by Chan and Har-Peled at the same conference for the largest independent set problem in certain geometric intersection graphs.

We will discuss a hitting set result of Mustafa and Ray and, time permitting, an application of their machinery to a terrain guarding problem by Gibson, Kanade, Krohn, and the speaker.
Organised by John Barretto
PODCAST click here to start