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Matchings and phylogenetic trees。
Distribution of branch lengths and phylogenetic diversity under homogeneous speciation models
phylogenetic tree birth–death process Yule model branch length
2011/9/23
Abstract: The constant rate birth--death process is a popular null model for speciation and extinction. If one removes extinct and non-sampled lineages, this process induces `reconstructed trees' whic...
The disentangling number for phylogenetic mixtures
disentangling number phylogenetic mixtures Combinatorics
2011/9/8
Abstract: We provide a logarithmic upper bound for the disentangling number on unordered lists of leaf labeled trees. This results is useful for analyzing phylogenetic mixture models. The proof depend...
Phylogenetic invariants for group-based models
Phylogenetic invariants group-based models
2010/11/19
In this paper we investigate properties of algebraic varieties representing group-based phylogenetic models. We give the (first) example of a nonnormal general group-based model for an abelian group....