Propagation of confidential information on scale-free networks

✍ Scribed by Kosmas Kosmidis; Armin Bunde

• Book ID: 103882468
• Publisher: Elsevier Science
• Year: 2007
• Tongue: English
• Weight: 181 KB
• Volume: 376
• Category: Article
• ISSN: 0378-4371
• DOI: 10.1016/j.physa.2006.10.035

✦ Synopsis

We use Monte Carlo simulations and arguments from percolation theory in order to determine how ''confidential'' information propagates or localizes on a scale-free network. The basic assumption of our models is that this type of information propagates through the subnetwork of ''best friends'' which constitute a persons ''circle of trust''. We find that there is a sharp percolation transition between a phase where ''confidential'' information localizes and a phase where ''confidential'' information propagates. This transition is controlled by the number of best friends m 0 that a person is willing to have, and occurs for m 0 values higher than intuitively expected from the ''small world'' property of random networks.