In this thesis, we study the k-median problem with respect to a dissimilarity measure Dφ from the family of Bregman divergences: Given a finite set P of size n from R, our goal is to find a set C of size k such that the sum of error cost(P,C) = ∑ p∈P minc∈C { Dφ(p, c) } is minimized. This problem plays an important role in applications from many different areas of computer science, such as info...

During the last years, the genomes of more and more species have been sequenced, providing data for phylogenetic reconstruction based on genome rearrangement measures, where the most important distance measures are the reversal distance and the transposition distance. The two main tasks in all phylogenetic reconstruction algorithms is to calculate pairwise distances and to solve the median of t...

A woman was admitted with pain in the epigastrium and right upper quadrant that radiated to back, as well nausea dry heaves.