4 papers
Sharp Low-Degree Thresholds for Planted-vs-Planted Testing
Anda Skeja, Daniel Gutiérrez Espinoza, Fiona Skerman +1
We establish the first sharp thresholds for low-degree polynomial tests in planted-vs-planted settings, where the goal is to determine with vanishing error which of two structured…
The stochastic block model has the overlap graph property for modularity
Shankar Bhamidi, David Gamarnik, Remco van der Hofstad +4
The overlap gap property (OGP) is a statement about the geometry of near-optimal solutions. Exhibiting OGP implies failure of a class of local algorithms; and has been observed to…
Approximating temporal modularity on graphs of small underlying treewidth
Vilhelm Agdur, Jessica Enright, Laura Larios-Jones +3
Modularity is a very widely used measure of the level of clustering or community structure in networks. Here we consider a recent generalisation of the definition of modularity to…
On the accurate computation of expected modularity in probabilistic networks
Xin Shen, Matteo Magnani, Christian Rohner +1
Modularity is one of the most widely used measures for evaluating communities in networks. In probabilistic networks, where the existence of edges is uncertain and uncertainty is r…