| A regular decomposition of the edge-product space of phylogenetic trees (2008) | |||||||||||||||
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.. Original Publication:Jonna Gill, Svante Linusson, Vincent Moulton and Mike Steel, A regular decomposition of the edge-product space of phylogenetic trees, 2008, Advances in Applied Mathematics, (14), 2, 158-176.http://dx.doi.org/10.1016/j.aam.2006.07.007Copyright: Elsevier Science B.V., Amsterdamhttp://www.elsevier.com/ | |||||||||||||||
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