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- Gill, Jonna, et al.
(author)
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A regular decomposition of the edge-product space of phylogenetic trees
- 2008
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In: Advances in Applied Mathematics. - : Elsevier BV. - 0196-8858 .- 1090-2074. ; 41:2, s. 158-176
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Journal article (peer-reviewed)abstract
- We investigate the topology and combinatorics of a topological space called the edge-product space that is generated by the set of edge-weighted finite labelled trees. This space arises by multiplying the weights of edges on paths in trees, and is closely connected to tree-indexed Markov processes in molecular evolutionary biology. In particular, by considering combinatorial properties of the Tuffley poset of labelled forests, we show that the edge-product space has a regular cell decomposition with face poset equal to the Tuffley poset.
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