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, October 28, 2008, 12:15 pm

Duration: This information is not available in the database

Location: CAB G51

Speaker: Peter Sanders (Univ. Karlsruhe)

Improving Kruskal's Algorithm

We present filterKruskal -- a simple modification of Kruskal's minimum spanning tree algorithm that avoids sorting edges that are obviously'' not in the MST. For arbitrary graphs with random edge weights, filterKruskal runs in time O(m + n\log n log m/n), i.e. in linear time for not too sparse graphs. Experiments indicate that the algorithm has very good practical performance over the entire range of edge densities. An equally simple parallelization seems to be the currently best practical algorithm on multi-core machines.

This talk will focus on the analysis and open problems.

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