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math.CO2023
A Note on the 2-Colored Rectilinear Crossing Number of Random Point Sets in the Unit Square
Sergio Cabello, Éva Czabarka, Ruy Fabila-Monroy +5
Let be a set of four points chosen independently, uniformly at random from a square. Join every pair of points of with a straight line segment. Color these edges red if the…
math.CO2023
Universal rooted phylogenetic tree shapes and universal tanglegrams
Ann Clifton, Eva Czabarka, Kevin Liu +4
We provide an lower bound and an upper bound for the smallest size of rooted binary trees (a.k.a. phylogenetic tree shapes), which are universal for rooted b…