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What and Who

Enumerating Minimal Transversals of Geometric Hypergraphs

Saurabh Ray
Max-Planck-Institut für Informatik - D1
AG1 Mittagsseminar (own work)
AG 1  
AG Audience
English

Date, Time and Location

Tuesday, 27 October 2009
13:00
30 Minutes
E1 4
024
Saarbrücken

Abstract

We consider the problem of enumerating all minimal transversals of a hypergraph. In general, it is not known whether one can enumerate all (inclusion-wise) minimal transversals in output polynomial time. We show that if the hypergraph has a "balanced subdivision", then we can indeed enumerate its minimal transversals in time polynomial in the output size. We finally show that several geometrically induced hypergraphs do have such a balanced subdivision. This gives polynomial time algorithms for them.

Contact

Saurabh Ray
06819325129
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Tags, Category, Keywords and additional notes

Hitting Sets, Hypergraph Transversals, Discrete Geometry

Saurabh Ray, 10/12/2009 15:09 -- Created document.