Vulnerability of networks of interacting Markov chains
Journal
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
Date Issued
2010-05-13
Author(s)
Kocarev, Ljupcho
Zlatanov, Nikola
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.
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.
Subjects
File(s)![Thumbnail Image]()
Loading...
Name
exp-chaos-kocarev-01.pdf
Size
638.83 KB
Format
Adobe PDF
Checksum
(MD5):b068fc14f6aa472192b62f7e17fb08c5