Tutte seminar - Jochen KoenemannExport this event to calendar

Friday, March 2, 2012 — 3:30 PM to 4:30 PM EST

Solving Structured Set Cover Instances via Geometric Sampling

Speaker: Jochen Koenemann
Affiliation: University of Waterloo
Room: Mathematics & Computer Building (MC) 5158

Abstract:

The minimum-weight set cover problem is widely known to be O(log n)-approximable, with no improvement possible in the general case. We take the approach of exploiting problem structure to achieve better results, by providing a geometry-inspired algorithm whose approximation guarantee depends solely on an instance-specific combinatorial property known as shallow cell complexity (SCC). Roughly speaking, a set cover instance has low SCC if any column-induced submatrix of the corresponding element-set incidence matrix has few distinct rows. By adapting and improving Varadarajan's recent quasi-uniform random sampling method for weighted geometric covering problems, we obtain strong approximation algorithms for a structurally rich class of weighted covering problems with low SCC. 



Joint work with T. Chan, E. Grant and M. Sharpe

Location 
MC - Mathematics & Computer Building
5158
200 University Avenue West

Waterloo, ON N2L 3G1
Canada

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