Department of Computer Science
 
Chair V

 
University of Bonn -> Department of Computer Science -> Chair V
CS-Reports 2010 Copyright 2010 University of Bonn, Department of Computer Science, Abt. V
85312

08.03.2010

Efficient Parallel Computation of Nearest Neighbor Interchange Distances
(Preliminary Version)

Mikael Gast and Mathias Hauptmann
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The nni-distance is a well-known distance measure for phylogenetic trees. We construct an efficient parrallel approximation algorithm (in the CRCW-PRAM model) for the nni-distance. Given two phylogenetic trees T1 and T2 on the same set of taxa and with the same multi-set of edge-weights, the algorithm constructs a sequence of nni-operations of weight at most O(log n) ⋅ opt, where opt denotes the minimum weight of a sequence of nni-operations transforming T1 into T2. This algorithm is based on the sequential approximation algorithm for the nni-distance given by DasGupta et al. [DHJ+00].

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University of Bonn -> Department of Computer Science -> Chair V