2 papers
math.ST2025
Marginal Independence and Partial Set Partitions
Francisco Ponce-Carrión, Seth Sullivant
We establish a bijection between marginal independence models on random variables and split closed order ideals in the poset of partial set partitions. We also establish that e…
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…