2 papers
math.AG2019
Gaussian graphical models with toric vanishing ideals
Pratik Misra, Seth Sullivant
Gaussian graphical models are semi-algebraic subsets of the cone of positive definite covariance matrices. They are widely used throughout natural sciences, computational biology a…
math.CO2018
Bounds on the expected size of the maximum agreement subtree for a given tree shape
Pratik Misra, Seth Sullivant
We show that the expected size of the maximum agreement subtree of two -leaf trees, uniformly random among all trees with the shape, is . To derive the lower bound,…