INTRODUCTION Phylogenetic trees depict the relationships among varying species [1]. A simple example of this is a family tree. When referring to Figure 1, the three most important components of a tree include: the Node(s) (denoted by squares), the Branches (denoted by lines), and the Tips (denoted by circles). The Nodes represent the hypothetical ancestors. The Branches represent the evolution ...

tropical theileriosis is a tick-transmitted disease which caused by obligative intracellular protozoan theileria annulata. diagnosis is usually based on identification of parasite in giemsa stained smears of peripheral blood, spleen or lymph nodes. today, the molecular methods with high sensitivity and specificity are used for diagnosis of infected and carrier animals, epidemiological and phylo...

A phylogenetic network is a generalization of a phylogenetic tree, allowing structural properties that are not tree-like. With the growth of genomic data, much of which does not fit ideal tree models, there is greater need to understand the algorithmics and combinatorics of phylogenetic networks [10, 11]. However, to date, very little has been published on this, with the notable exception of th...

We prove polynomial upper and lower bounds on the expected size of the maximum agreement subtree of two random binary phylogenetic trees under both the uniform distribution and Yule-Harding distribution. This positively answers a question posed in earlier work. Determining tight upper and lower bounds remains an open problem.