Tiffany Y. Y. Lo

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math.PR2024

The number of descendants in a preferential attachment graph

Svante Janson, Tiffany Y. Y. Lo

We study the number $X^{(n)}$ of vertices that can be reached from the last added vertex $n$ via a directed path (the descendants) in the standard preferential attachment graph. In…

math.PR2023

Approximation of Subgraph Counts in the Uniform Attachment Model

Johan Björklund, Cecilia Holmgren, Svante Janson +1

We use Stein's method to obtain distributional approximations of subgraph counts in the uniform attachment model or random directed acyclic graph; we provide also estimates of rate…