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 M. Ghaffari, A. Steger and B. Sudakov)

Mittagsseminar Talk Information

Date and Time: Tuesday, November 04, 2003, 12:15 pm

Duration: This information is not available in the database

Location: This information is not available in the database

Speaker: Udo Adamy

Maximum Weight Independent Set of Axis-parallel Rectangles

Motivated by call admission control problems in networks with advance reservations Lewin-Eytan, Naor, Orda obtain a (4c)-approximation algorithm for finding a maximum weight independent set of axis-parallel rectangles in the plane, where c is the maximum number of rectangles that simultaneously cover a point in the plane.
We will outline the connection between a two-dimensional call admission control problem in line networks and the independent set problem for rectangle intersection graphs. Then we will present their algorithm based on the local ratio technique and prove the approximation ratio of 4c.

(Liane Lewin-Eytan, Joseph Naor, Ariel Orda: Routing and Admission Control in Networks with Advance Reservations. In Proceedings of the 5th International Workshop on Approximation Algorithms for Combinatorial Optimization (APPROX), LNCS 2462, pages 215-228, Springer-Verlag, 2002)


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