A Space of Phylogenetic Networks
Copyright policy )A Space of Phylogenetic Networks
A classic problem in computational biology is constructing a phylogenetic tree given a set of distances between n species. In most cases, a tree structure is too constraining. We consider a circular split network, a generalization of a tree in which multiple parallel edges signify divergence. A geometric space of such networks is introduced, forming a natural extension of the work by Billera, Holmes, and Vogtmann on tree space. We explore properties of this space, and show a natural embedding of the compactification of the real moduli space of curves within it.
23 pages, 20 figures
FOS: Computer and information sciences, Discrete Mathematics (cs.DM), associahedron, Applications of graph theory, 52B11, 14H10, 92B10, 05E45, Populations and Evolution (q-bio.PE), phylogenetics, split networks, Problems related to evolution, FOS: Biological sciences, FOS: Mathematics, moduli space, Mathematics - Combinatorics, Algebraic Topology (math.AT), Mathematics - Algebraic Topology, Combinatorics (math.CO), Computational methods for problems pertaining to biology, Quantitative Biology - Populations and Evolution, Computer Science - Discrete Mathematics
FOS: Computer and information sciences, Discrete Mathematics (cs.DM), associahedron, Applications of graph theory, 52B11, 14H10, 92B10, 05E45, Populations and Evolution (q-bio.PE), phylogenetics, split networks, Problems related to evolution, FOS: Biological sciences, FOS: Mathematics, moduli space, Mathematics - Combinatorics, Algebraic Topology (math.AT), Mathematics - Algebraic Topology, Combinatorics (math.CO), Computational methods for problems pertaining to biology, Quantitative Biology - Populations and Evolution, Computer Science - Discrete Mathematics
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