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

Date and Time: Tuesday, June 26, 2007, 12:15 pm

Duration: This information is not available in the database

Location: OAT S15/S16/S17

Speaker: Subir Ghosh (Tata Institute of Fundamental Research, Mumbai, India)

Computing the maximum clique in visibility graphs

The problem of computing the maximum clique in a visibility graph in polynomial time is a longstanding open problem in geometric graph theory. In this talk, we present a polynomial time algorithm for computing the maximum clique in the visibility graph G of a simple polygon P, under the assumption that the Hamiltonian cycle in G, that corresponds to the boundary of P, is given as an input to the algorithm along with G. Note that the maximum clique in G corresponds to the largest empty convex polygon in P.

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