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math.PR2021★ 3 cited
The location of high-degree vertices in weighted recursive graphs with bounded random weights
Bas Lodewijks
We study the asymptotic growth rate of the label size of high-degree vertices in weighted recursive graphs (WRG) when the weights are i.i.d. almost surely bounded random variables,…
math.PR2021★ 6 cited
Fine asymptotics for the maximum degree in weighted recursive trees with bounded random weights
Laura Eslava, Bas Lodewijks, Marcel Ortgiese
A weighted recursive tree is an evolving tree in which vertices are assigned random vertex-weights and new vertices connect to a predecessor with a probability proportional to its…