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math.CO2023
Decks of rooted binary trees
Ann Clifton, Eva Czabarka, Audace Dossou-Olory +5
We consider extremal problems related to decks and multidecks of rooted binary trees (a.k.a. rooted phylogenetic tree shapes). Here, the deck (resp. multideck) of a tree refers…
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…
math.CO2023
The largest crossing number of tanglegrams
Éva Czabarka, Junsheng Liu, László A. Székely
A tanglegram consists of two rooted binary trees with the same number of leaves, and a perfect matching between the two leaf sets. In a layout, the tanglegrams is drawn wi…