9 citations · 11 across the 6 of their papers we have counts for
4 papers · 1 filter
SAQ: semi-algebraic quartet reconstruction method
Marta Casanellas, Jesús Fernández-Sánchez, Marina Garrote-López
We present the phylogenetic quartet reconstruction method SAQ (Semi-algebraic quartet reconstruction). SAQ is consistent with the most general Markov model of nucleotide substituti…
An open set of embeddable matrices whose principal logarithm is not a Markov generator
Marta Casanellas, Jesús Fernández-Sánchez, Jordi Roca-Lacostena
A Markov matrix is embeddable if it can represent a homogeneous continuous-time Markov process. It is well known that if a Markov matrix has real and pairwise-different eigenvalues…
The embedding problem for Markov matrices
Marta Casanellas, Jesús Fernández-Sánchez, Jordi Roca-Lacostena
Characterizing whether a Markov process of discrete random variables has an homogeneous continuous-time realization is a hard problem. In practice, this problem reduces to deciding…
Rank conditions on phylogenetic networks
Marta Casanellas, Jesús Fernández-Sánchez
Less rigid than phylogenetic trees, phylogenetic networks allow the description of a wider range of evolutionary events. In this note, we explain how to extend the rank invariants…