@inproceedings{berger2005on, author = {Berger, Noam and Borgs, Christian and Chayes, Jennifer and Saberi, Amin}, title = {On the Spread of Viruses on the Internet}, booktitle = {Proceedings of the 16th ACM-SIAM Symposium on Discrete Algorithm (SODA)}, year = {2005}, month = {January}, abstract = {We analyze the contact process on random graphs generated according to the preferential attachment scheme as a model for the spread of viruses in the Internet. We show that any virus with a positive rate of spread from a node to its neighbors has a non-vanishing chance of becoming epidemic. Quantitatively, we discover an interesting dichotomy: for a virus with effective spread rate ¸, if the infection starts at a typical vertex, then it develops into an epidemic with probability ¸£( log(1=¸) log log(1=¸) ); but on average the epidemic probability is ¸£(1)}, url = {http://approjects.co.za/?big=en-us/research/publication/spread-viruses-internet/}, pages = {301-310}, edition = {Proceedings of the 16th ACM-SIAM Symposium on Discrete Algorithm (SODA)}, }