The phylogenetic semigroup on a graph is a subset of the set of all labelings of the edges of the graph by nonnegative integers. In this talk, I will give the exact definition and review some results about minimal generators of phylogenetic semigroups by Buczyńska, Buczyński, Michałek, Wiśniewski, and myself.
Links:
[1] http://www.mpim-bonn.mpg.de/taxonomy/term/39
[2] http://www.mpim-bonn.mpg.de/node/4234
[3] http://www.mpim-bonn.mpg.de/node/4763