Solution for the properties of a clustered network

Details Solution for the properties of a clustered network Solution for the properties of a clustered network

2004-12-21

arxiv.org/abs/cond-mat/0412579v2

Phys. Rev. E 72, 026136 (2005)

Physics

Condensed Matter

Statistical Mechanics

5 pages, 2 figures

Scientific paper

10.1103/PhysRevE.72.026136

We study Strauss's model of a network with clustering and present an analytic mean-field solution which is exact in the limit of large network size. Previous computer simulations have revealed a degenerate region in the model's parameter space in which triangles of adjacent edges clump together to form unrealistically dense subgraphs, and perturbation calculations have been found to break down in this region at all orders. Our analytic solution shows that this region corresponds to a classic symmetry-broken phase and that the onset of the degeneracy corresponds to a first-order phase transition in the density of the network.

Affiliated with

Also associated with

No associations

Rating

Solution for the properties of a clustered 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 Solution for the properties of a clustered network, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Solution for the properties of a clustered network will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-121200