A regular decomposition of the edge-product space of phylogenetic trees

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• 作者：Jonna Gill ; Svante Linusson ; Vincent Moulton ; Mike Steel
• 关键词：Trees ; Forests ; Partitions ; Poset ; Regular cell complex ; Recursive coatom ordering
• 刊名：Advances in Applied Mathematics
• 出版年：2008
• 出版时间：August 2008
• 年：2008
• 卷：41
• 期：2
• 页码：158-176
• 全文大小：236 K

文摘

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.