Domination-time dynamics in susceptible-infected-susceptible virus competition on networks

When two viruses compete for healthy nodes in a simple network and both spreading rates are above the epidemic threshold, only one virus will survive. However, if we prevent the viruses from dying out, rich dynamics emerge. When both viruses are identical, one virus always dominates the other, but the dominating and dominated virus alternate. We...

Finding Critical Regions and Region-Disjoint Paths in a Network

Due to their importance to society, communication networks should be built and operated to withstand failures.However, cost considerations make network providers less inclined to take robustness measures against failures that are unlikely to manifest, like several failures coinciding simultaneously in different geographic regions of their...