Subject: vulnerability, VulnerabilityRank, Markov chains, networks
Year: 2010
Type: Article
Title: Vulnerability of networks of interacting Markov chains
Author: Kocarev, Ljupcho
Author: Zlatanov, Nikola
Author: Trajanov, Dimitar
Abstract: The concept of vulnerability is introduced for a model of random, dynamical interactions on networks. In this model, known as influence model, the nodes are arranged in an arbitrary network, while the evolution of the status at a node is according to an internal Markov chain, but with transition probabilities that depend not only on the current status of that node, but also on the statuses of the neighboring nodes. Vulnerability is treated analytically and numerically for several networks with different topological structures, as well as for three real networks: network of infrastructures, power grid, and WWW, identifying the most influential nodes of these networks.
Publisher: The Royal Society Publishing
Relation: Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
Identifier: oai:repository.ukim.mk:20.500.12188/25089
Identifier: http://hdl.handle.net/20.500.12188/25089
