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math.CO2025
The poset of maximal tubings of the cycle graph is a lattice
Ben Adenbaum, Emily Barnard, Max Hlavacek +4
The poset of maximal tubings of a graph generalizes several well-known and remarkable partial orders. Notable examples include the weak Bruhat order and the Tamari lattice, posets…
math.CO2024
Equidistant Circular Split Networks
Bryson Kagy, Seth Sullivant
Phylogenetic networks are generalizations of trees that allow for the modeling of non-tree like evolutionary processes. Split networks give a useful way to construct networks with…