10 papers
On -blocks with quaternion defect groups
Charles Eaton, Florian Eisele, Radha Kessar +2
We determine the Morita equivalence classes of -blocks with quaternion defect groups of arbitrary -power order, thereby completing the proof of Donovan's conjecture for block…
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 ErdÅs-Rényi random graph is…
Multipartite random graphs with given degrees: local limit, revisiting the giant, distances
Neeladri Maitra
We consider multipartite random graphs with given degree sequences, within and across different partitions. Under general assumptions, we prove the local limit of this graph is a m…
Algorithmic Phase Transition for Large Independent Sets in Dense Hypergraphs
Abhishek Dhawan, Nhi U. Dinh, Eren C. KızıldaÄ +2
We study the algorithmic tractability of finding large independent sets in dense random hypergraphs. In the sparse regime, much of the natural algorithms can be formulated within e…
On exponentially height-penalized random trees
Louigi Addario-Berry, Benoît Corsini, Neeladri Maitra +1
Given and , a $\textit{$μn$}$ is a random plane tree with vertices with law given by…
Evolution of recursive trees with limited memory
Omer Angel, Shankar Bhamidi, Serte Donderwinkel +2
Motivated by questions in social networks, distributed computing and probabilistic combinatorics, the last few years have seen increasing interest in network evolution models where…