Department of Computer Science | Institute of Theoretical Computer Science | CADMO

Theory of Combinatorial Algorithms

Prof. Emo Welzl and Prof. Bernd Gärtner

Mittagsseminar (in cooperation with A. Steger, D. Steurer and B. Sudakov)

Mittagsseminar Talk Information

Date and Time: Thursday, February 16, 2006, 12:15 pm

Duration: This information is not available in the database

Location: This information is not available in the database

Speaker: Patrick Traxler (TU Wien)

Recognizing Transversal Hypergraphs

In this talk we present the problem of recognizing transversal hypergraphs. Given two hypergraphs G and H, decide if G is the transversal hypergraph of H, symbolically G = Tr(H). The transversal hypergraph Tr(H) of H is the set of all subset-minimal transversals (vertex covers) of H. It is open whether there exists a polynomial time algorithm for this problem. The problem is not known to be complete for NP or coNP. The currently best upper time bound is no(lg(n)). The complementary problem can be solved on a nondeterministic Turing machine with a polylogarithmic amount of nondeterministic bits. We shortly discuss these results and some related problems.

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