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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
A characterization of terminal planar networks by forbidden structures
Haruki Miyaji, Yuki Noguchi, Hexuan Liu +4
The class of terminal planar networks was recently introduced from a biological perspective in relation to the visualization of phylogenetic networks, and its connection to upward…
math.CO2024
Enumerative and Distributional Results for -combining Tree-Child Networks
Yu-Sheng Chang, Michael Fuchs, Hexuan Liu +2
Tree-child networks are one of the most prominent network classes for modeling evolutionary processes which contain reticulation events. Several recent studies have addressed count…