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math.CO2026
A Combinatorial Framework for the Pons-Batle Identity: Young Tableaux, Lattice Paths, and Limit Laws
Hexuan Liu, Michael Wallner, Guan-Ru Yu
Tree-child networks are an important class of phylogenetic network used to model reticulate evolutionary processes. These networks have attracted increasing attention from research…
math.CO2026
Asymptotic Enumeration of Subclasses of Level- Phylogenetic Networks
Hexuan Liu, Bing-Ze Lu, Taoyang Wu +1
This paper studies the enumeration of seven subclasses of level- phylogenetic networks under various planarity and structural constraints, including terminal planar, tree-child,…