## 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, January 24, 2006, 12:15 pm

Duration: This information is not available in the database

Location: This information is not available in the database

Speaker: Christian Balderer

## A simple approximation algorithm for Connected Facility Location

In the Connected Facility Location problem, we are given an undirected graph with edge costs and a subset D of the vertices, called the demands. The task is to open a set of connected facilities such that the sum of all shortest-path distances from a demand to its closest facility plus the cost for connecting the facilities is minimized.

We present a simple randomized approximation algorithm that achieves a factor 3.55 approxmiation, which is an improvement over the previously known bound of 4.55.

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