A lower bound on the performance of dynamic curing policies for epidemics on graphs
Social and Information Networks
2015-10-22 v1
Abstract
We consider an SIS-type epidemic process that evolves on a known graph. We assume that a fixed curing budget can be allocated at each instant to the nodes of the graph, towards the objective of minimizing the expected extinction time of the epidemic. We provide a lower bound on the optimal expected extinction time as a function of the available budget, the epidemic parameters, the maximum degree, and the CutWidth of the graph. For graphs with large CutWidth (close to the largest possible), and under a budget which is sublinear in the number of nodes, our lower bound scales exponentially with the size of the graph.
Keywords
Cite
@article{arxiv.1510.06055,
title = {A lower bound on the performance of dynamic curing policies for epidemics on graphs},
author = {Kimon Drakopoulos and Asuman Ozdaglar and John N. Tsitsiklis},
journal= {arXiv preprint arXiv:1510.06055},
year = {2015}
}