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20092026
most citedSharp threshold for percolation on expanders

6 citations · 6 across the 13 of their papers we have counts for

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8 papers · 1 filter

math.PR2026

Finding Adam in noisy trees

Luc Devroye, Gábor Lugosi, Neeladri Maitra

We consider the problem of finding the root vertex of a random uniform attachment tree, when the union of the unlabeled tree and an Erdős-Rényi random graph is ob…

math.PR2026

The temporal stochastic block model

Sofiya Burova, Gábor Lugosi, Guillem Perarnau

Motivated by the need to understand infection spreading in inhomogeneous populations, we consider a \emph{temporal} version of the stochastic block model, where each edge is equipp…

math.PR2026

A study of centrality measures in random recursive trees

Richard Coll Josifov, Luc Devroye, Gabor Lugosi

We investigate the behaviour of five classical centrality measures--Jordan, rumor, betweenness, degree, and closeness centralities--in the setting of uniform random recursive trees…

math.PR2025

Temporal connectivity of Random Geometric Graphs

Anna Brandenberger, Serte Donderwinkel, Céline Kerriou +2

A temporal random geometric graph is a random geometric graph in which all edges are endowed with a uniformly random time-stamp, representing the time of interaction between vertic…

math.PR2024

Leaf Stripping on Uniform Attachment Trees

Louigi Addario-Berry, Anna Brandenberger, Simon Briend +2

In this note we analyze the performance of a simple root-finding algorithm in uniform attachment trees. The leaf-stripping algorithm recursively removes all leaves of the tree for…

math.PR2024

The top eigenvalue of uniformly random trees

Louigi Addario-Berry, Gábor Lugosi, Roberto Imbuzeiro Oliveira

Let be a uniformly random tree with vertex set , let be the largest vertex degree in , and let $λ_1({\mathbf…

math.PR2024

Random friend trees

Louigi Addario Berry, Simon Briend, Luc Devroye +3

We study a random recursive tree model featuring complete redirection called the random friend tree and introduced by Saramäki and Kaski. Vertices are attached in a sequential mann…

math.PR2009★ 6 cited

Sharp threshold for percolation on expanders

Itai Benjamini, Stéphane Boucheron, Gábor Lugosi +1

We study the appearance of the giant component in random subgraphs of a given large finite graph G=(V,E) in which each edge is present independently with probability p. We show tha…