Title: Social Connectivity Optimization Problems on Random Graphs Speaker: Thomas M. DuBois, University of Maryland Date/Time: Monday, January 31, 2011, 11:00 am in NM & 10:00 am in CA Location: CSRI/90 in SNL/NM & 915/S101 in SNL/CA Brief Abstract: Network connectivity and propagation problems arise naturally in many social networks. We examine problems where some property, such as an infection or influence, starts from some initially seeded set of nodes and every affected node transmits the property to its neighbors with a probability determined by the connecting edge. Thus the core problem becomes one of connectivity in a random-graph – the probability of a node v being affected is the probability that there is a path to it in the random graph from one of the seed nodes. We may wish to aid, disrupt, or simply monitor this connectivity. To that end we study several combinatorial optimization problems on random graphs, and derive heuristics whose effectiveness we will show through simulation, mathematical proof, or both. CSRI POC: Jean-Paul Watson, 505-845-8887 |