Given an unlabeled, unweighted, and undirected graph with n vertices and small (but not necessarily constant) treewidth k, we consider the problem of preprocessing the graph to bui...
Let G be an unweighted graph of complexity n embedded in a surface of genus g, orientable or not. We describe improved algorithms to compute a shortest non-contractible and a shor...
Graph partitioning algorithms play a central role in data analysis and machine learning. Most useful graph partitioning criteria correspond to optimizing a ratio between the cut a...
The 2-dimensional Hamming graph H(2, n) consists of the n2 vertices (i, j), 1 ≤ i, j ≤ n, two vertices being adjacent when they share a common coordinate. We examine random sub...
Remco van der Hofstad, Malwina J. Luczak, Joel Spe...
Chang and Lyuu [Chang and Lyuu, 2008] study the spreading of a message in an Erd˝os-R´enyi random graph G(n, p) starting from a set of vertices that are convinced of the message...