Random networks created by biological evolution

Details Random networks created by biological evolution Random networks created by biological evolution

2000-04-25

arxiv.org/abs/cond-mat/0004407v2

Phys. Rev. E 62, 6170 (2000)

Physics

Condensed Matter

Statistical Mechanics

9 pages, 11 figures, submitted to Phys. Rev. E (substantially revised version)

Scientific paper

10.1103/PhysRevE.62.6170

We investigate a model of evolving random network, introduced by us previously {[}{\it Phys. Rev. Lett.} {\bf 83}, 5587 (1999){]} . The model is a generalization of the Bak-Sneppen model of biological evolution, with the modification that the underlying network can evolve by adding and removing sites. The behavior and the averaged properties of the network depend on the parameter $p$, the probability to establish link to the newly introduced site. For $p=1$ the system is self-organized critical, with two distinct power-law regimes with forward-avalanche exponents $\tau=1.98\pm 0.04$ and $\tau^\prime = 1.65\pm 0.05$. The average size of the network diverge as power-law when $p\to 1$. We study various geometrical properties of the network: probability distribution of sizes and connectivities, size and number of disconnected clusters and the dependence of mean distance between two sites on the cluster size. The connection with models of growing networks with preferential attachment is discussed.

Affiliated with

Also associated with

No associations

Rating

Random networks created by biological evolution does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Random networks created by biological evolution, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Random networks created by biological evolution will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-473543