Sparsification of Phylogenetic Covariance Matrices of $k$-Regular Trees

Sean P. Svihla, Manuel E. Lladser

Consider a tree $T=(V,E)$ with root $\circ$ and edge length function $\ell :E\to {\mathbb{R}}_{+}$. The phylogenetic covariance matrix of $T$ is the matrix $C$ with rows and columns inde…