Minimum-Width Drawings of Phylogenetic Trees

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Abstract

We show that finding a minimum-width orthogonal upward drawing of a phylogenetic tree is NP-hard for binary trees with unconstrained combinatorial order and provide a linear-time algorithm for ordered trees. We also study several heuristic algorithms for the unconstrained case and show their effectiveness through experimentation.

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Besa, J. J., Goodrich, M. T., Johnson, T., & Osegueda, M. C. (2019). Minimum-Width Drawings of Phylogenetic Trees. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 11949 LNCS, pp. 39–55). Springer. https://doi.org/10.1007/978-3-030-36412-0_4

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