A universal Tree of Life (TOL) has long been a goal of molecular phylogeneticists, but reticulation at the level of genes and possibly at the levels of cells and species renders any simple interpretation of such a TOL, especially as applied to prokaryotes, problematic.

Reticulate evolution is a fundamental process in the evolution of certain groups of taxa. Consequently, conflicting signals in a data set may not be the result of sampling or modelling errors, but due to the fact that reticulation has played a role in the evolutionary history of the species under consideration. Assuming that our initial data set is correct, a fundamental problem is to compute t...

We know from a previous paper that the reticulation of coherent quantale A is bounded distributive lattice L ( ) whose prime spectrum homeomorphic to m -prime . This studies how can be used for transferring some properties lattices quantales and vice versa. shall illustrate this thesis by proving several results on pure w –pure elements means In particular, we investigate σ –ideals transferred ...

Tree-child networks, one of the prominent network classes in phylogenetics, have been introduced for purpose modeling reticulate evolution. Recently, first author together with Gittenberger and Mansouri (2019) showed that number TCℓ,k tree-child networks ℓ leaves k reticulation vertices has first-order asymptotics TCℓ,k∼ck2eℓℓℓ+2k−1,(ℓ→∞).Moreover, they also computed ck k=1,2, 3. In this short ...

Tree containment problem is a fundamental problem in phylogenetic study, as it is used to verify a network model. It asks whether a given network contain a subtree that resembles a binary tree. The problem is NP-complete in general, even in the class of binary network. Recently, it was proven to be solvable in cubic time, and later in quadratic time for the class of general reticulation visible...

A fundamental problem in the study of phylogenetic networks is to determine whether or not a given phylogenetic network contains a given phylogenetic tree. We develop a quadratic-time algorithm for this problem for binary nearly-stable phylogenetic networks. We also show that the number of reticulations in a reticulation visible or nearly stable phylogenetic network is bounded from above by a f...

Honduranuragen. n. and the type species H. centraliamericanasp. n. are described and illustrated. The new genus shows the characters of Sensillanurini Cassagnau, 1983 tribe and is distinguished by the fusion of cephalic and abdominal tubercles: clypeal with antennofrontal and dorsointernal with dorsoexternal on head; presence of fused tubercles on each side of abdominal segment V. Most of the t...