6 citations · 8 across the 8 of their papers we have counts for
10 papers
Counting cherry reduction sequences is counting linear extensions (in phylogenetic tree-child networks)
Tomás M. Coronado, Joan Carles Pons, Gabriel Riera
Orchard and tree-child networks share an important property with phylogenetic trees: they can be completely reduced to a single node by iteratively deleting cherries and reticulate…
Comparison of orchard networks using their extended -representation
Gabriel Cardona, Joan Carles Pons, Gerard Ribas +1
Phylogenetic networks generalize phylogenetic trees in order to model reticulation events. Although the comparison of phylogenetic trees is well studied, and there are multiple way…
A polynomial invariant for a new class of phylogenetic networks
Joan Carles Pons, Tomás M. Coronado, Michael Hendriksen +1
Invariants for complicated objects such as those arising in phylogenetics, whether they are invariants as matrices, polynomials, or other mathematical structures, are important too…
Explicit solution of divide-and-conquer dividing by a half recurrences with polynomial independent term
Tomás M. Coronado, Arnau Mir, Francesc Rosselló
Divide-and-conquer dividing by a half recurrences, of the form , , appear…
Squaring within the Colless index yields a better balance index
Tomás M. Coronado, Arnau Mir, Francesc Rosselló
The Colless index for bifurcating phylogenetic trees, introduced by Colless (1982), is defined as the sum, over all internal nodes of the tree, of the absolute value of the dif…
On the minimum value of the Colless index and the bifurcating trees that achieve it
Tomás M. Coronado, Mareike Fischer, Lina Herbst +2
Measures of tree balance play an important role in the analysis of phylogenetic trees. One of the oldest and most popular indices in this regard is the Colless index for rooted bif…
The minimum value of the Colless index
Tomás M. Coronado, Francesc Rosselló
The Colless index is one of the oldest and most widely used balance indices for rooted bifurcating trees. Despite its popularity, its minimum value on the space of…
The Fair Proportion is a Shapley Value on phylogenetic networks too
Tomás M. Coronado, Gabriel Riera, Francesc Rosselló
The Fair Proportion of a species in a phylogenetic tree is a very simple measure that has been used to assess its value relative to the overall phylogenetic diversity represented b…
A balance index for phylogenetic trees based on rooted quartets
Tomás M. Coronado, Arnau Mir, Francesc Rosselló +1
We define a new balance index for rooted phylogenetic trees based on the symmetry of the evolutive history of every set of 4 leaves. This index makes sense for multifurcating trees…
The probabilities of trees and cladograms under Ford's -model
Tomás M. Coronado, Arnau Mir, Francesc Rosselló
We give correct explicit formulas for the probabilities of rooted binary trees and cladograms under Ford's -model.