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math.PR2026
On the largest common subtree of uniform attachment trees
Johannes Bäumler, Céline Kerriou, Bas Lodewijks +4
We study the largest common subtree of two independent unlabeled uniform attachment trees (also known as random recursive trees). Our main result shows that, when the two trees hav…
math.PR2026
High-degree vertices in uniform recursive directed acyclic graphs with freezing
Rafael Engel, Bas Lodewijks
We study uniform recursive directed acyclic graphs with freezing. Here, a graph is built by adding vertices one-by-one and connecting a new vertex to uniformly sele…
math.PR2026
On the depth of depth-weighted trees
Lyuben Lichev, Amitai Linker, Bas Lodewijks +1
The depth-weighted tree DWT() with weight function is a dynamic random tree grown from a root where vertices arrive consecutively and ever…