Updating directed minimum cost spanning trees

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Abstract

We consider the problem of updating a directed minimum cost spanning tree (DMST), when edges are deleted from or inserted to a weighted directed graph. This problem apart from being a classic for directed graphs, is to the best of our knowledge a wide open aspect for the field of dynamic graph algorithms. Our contributions include results on the hardness of updates, a dynamic algorithm for updating a DMST, and detailed experimental analysis of the proposed algorithm exhibiting a speedup factor of at least 2 in comparison with the static practice. © Springer-Verlag Berlin Heidelberg 2006.

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Pollatos, G. G., Telelis, O. A., & Zissimopoulos, V. (2006). Updating directed minimum cost spanning trees. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 4007 LNCS, pp. 291–302). Springer Verlag. https://doi.org/10.1007/11764298_27

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