08-Jan-2001
Abstract: We analyze correlation effects in a simple model of small world networks, first introduced in cite{dm}, which is a ring of N sites connected randomly to a distinguished site at the center. Any two sites connected in this way are interpreted to be connected by a shortcut. We enter correlations into this model by taking these random connections from an Ising distribution on the ring. We will show that correlations tend to decrease the small world effect.
- Correlation Effects In A Simple Small-World Network, V. Karimipour, A. Ramzanpour, arXiv, cond-mat/0012313, 4 Jan 2001