Phase Transitions in an Aging Network

Details Phase Transitions in an Aging Network Phase Transitions in an Aging Network

2004-06-15

arxiv.org/abs/cond-mat/0406332v1

Physics

Condensed Matter

Statistical Mechanics

4 pages, 4 figures Submitted to Physical Review E

Scientific paper

We consider a growing network in which an incoming node gets attached to the $i^{th}$ existing node with the probability $\Pi_i \propto {k_i}^{\beta}\tau_i^{\alpha}$, where $k_{i}$ is the degree of the $i^{th}$ node and $\tau_i$ its present age. The phase diagram in the ${{\alpha}-{\beta}}$ plane is obtained. The network shows scale-free behaviour, i.e., the degree distribution $P(k) \sim k^{-\gamma}$ with $\gamma =3$ only along a line in this plane. Small world property, on the other hand, exists over a large region in the phase diagram.

Affiliated with

Also associated with

No associations

Rating

Phase Transitions in an Aging Network 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 Phase Transitions in an Aging Network, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Phase Transitions in an Aging Network will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-346929