Titlebook: Algorithms in Bioinformatics; First International Olivier Gascuel,Bernard M. E. Moret Conference proceedings 2001 Springer-Verlag Berlin H

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https://doi.org/10.1007/978-3-476-05764-8We develop fast algorithms for computing the linking number of a simplicial complex within a filtration. We give experimental results in applying our work toward the detection of non-trivial tangling in biomolecules, modeled as alpha complexes.

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Computing Linking Numbers of a Filtration,We develop fast algorithms for computing the linking number of a simplicial complex within a filtration. We give experimental results in applying our work toward the detection of non-trivial tangling in biomolecules, modeled as alpha complexes.

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Finding a Maximum Compatible Tree for a Bounded Number of Trees with Bounded Degree Is Solvable in how that the problem can be solved in .(2. . .) time, where . is the number of taxa in each tree, and every node in every tree has at most . children. Hence, a maximum compatible tree for . unrooted trees can be found in in .(2. . .) time.