Suppose we have a directed graph G with set of nodes V = {1, . . . , N} and a measure xi for every node i V . The average consensus problem consists in computing the average xA = ...
We show that a random walk on a tournament on n vertices finds either a sink or a 3-cycle in expected time O √ n · log n · log∗ n , that is, sublinear both in the size of th...
We give a polynomial-time algorithm for the following problem: Given a degree sequence in which each degree is bounded from above by a constant, select, uniformly at random, an un...
We consider the problem of finding a sparse set of edges containing the minimum spanning tree (MST) of a random subgraph of G with high probability. The two random models that we ...
Dense subgraphs of sparse graphs (communities), which appear in most real-world complex networks, play an important role in many contexts. Computing them however is generally expe...