2 papers
q-bio.PE2026
Exact Counts of Binary Phylogenetic Networks with Four Reticulations
Hao Yu, Louxin Zhang
Phylogenetic networks provide a flexible framework for representing reticulate evolutionary processes, such as hybridization, introgression, recombination, and horizontal gene tran…
math.CO2026
A Short Combinatorial Proof of the Pons-Batle Identity for Counting Tree-Child Networks
Hao Yu, Louxin Zhang
Tree-child networks are a useful class of binary phylogenetic networks. The Pons--Batle identity (Pons and Batle, \textit{Scientific Reports}, 2021) states that the number $a_{n,k}…