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Isomorphism and Symmetries in Random Phylogenetic Trees

Isomorphism and Symmetries in Random Phylogenetic Trees

The probability that two randomly selected phylogenetic trees of the same size are isomorphic is found to be asymptotic to a decreasing exponential modulated by a polynomial factor. The number of symmetrical nodes in a random phylogenetic tree of large size obeys a limiting Gaussian distribution, in the sense of …