activity
20182023
most citedCliques in rank-1 random graphs: the role of inhomogeneity

11 citations · 14 across the 4 of their papers we have counts for

collaborators

6 papers

math.ST2023

Detecting a late changepoint in the preferential attachment model

Gianmarco Bet, Kay Bogerd, Rui M. Castro +1

Motivated by the problem of detecting a change in the evolution of a network, we consider the preferential attachment random graph model with a time-dependent attachment function.…

math.PR2023

First-order asymptotics for the structure of the inhomogeneous random graph

Gianmarco Bet, Kay Bogerd, Vanessa Jacquier

In the inhomogeneous random graph model, each vertex is assigned a weight , and an edge between any two vertices is present with…

math.PR2020

Quasi-cliques in inhomogeneous random graphs

Kay Bogerd

Given a graph and a constant , let be the largest integer such that there exists an -vertex subgraph of containing at least …

math.ST2020

Detecting a botnet in a network

Gianmarco Bet, Kay Bogerd, Rui M. Castro +1

We formalize the problem of detecting the presence of a botnet in a network as an hypothesis testing problem where we observe a single instance of a graph. The null hypothesis, cor…

math.ST2019★ 3 cited

Detecting a planted community in an inhomogeneous random graph

Kay Bogerd, Rui M. Castro, Remco van der Hofstad +1

We study the problem of detecting whether an inhomogeneous random graph contains a planted community. Specifically, we observe a single realization of a graph. Under the null hypot…

math.PR2018★ 11 cited

Cliques in rank-1 random graphs: the role of inhomogeneity

Kay Bogerd, Rui M. Castro, Remco van der Hofstad

We study the asymptotic behavior of the clique number in rank-1 inhomogeneous random graphs, where edge probabilities between vertices are roughly proportional to the product of th…