Conference abstracts

Session A2 - Computational Algebraic Geometry

July 12, 16:00 ~ 16:25 - Room B5

Distinguishing phylogenetic networks

Elizabeth Gross

San Jose State University, USA   -   elizabeth.gross@sjsu.edu

Phylogenetic networks are increasingly becoming popular in phylogenetics since they have the ability to describe a wider range of evolutionary events than their tree counterparts. In this talk, we discuss Markov models on phylogenetic networks, i.e. directed acyclic graphs, and their associated algebra and geometry. In particular, assuming the Jukes-Cantor model of evolution and restricting to one reticulation vertex, using tools from computational algebraic geometry we show that the semi-directed network topology of $k$-cycle networks with $k \geq 4$ is generically identifiable.

Joint work with Colby Long (Mathematical Biosciences Institute).

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FoCM 2017, based on a nodethirtythree design.