Mean-field theory for clustering coefficients in Barabási-Albert networks
Abstract
We applied a mean-field approach to study clustering coefficients in Barabási-Albert (BA) networks. We found that the local clustering in BA networks depends on the node degree. Analytic results have been compared to extensive numerical simulations finding a very good agreement for nodes with low degrees. Clustering coefficient of a whole network calculated from our approach perfectly fits numerical data.
- Publication:
-
Physical Review E
- Pub Date:
- October 2003
- DOI:
- 10.1103/PhysRevE.68.046126
- arXiv:
- arXiv:cond-mat/0306255
- Bibcode:
- 2003PhRvE..68d6126F
- Keywords:
-
- 89.75.-k;
- 02.50.-r;
- 05.50.+q;
- Complex systems;
- Probability theory stochastic processes and statistics;
- Lattice theory and statistics;
- Condensed Matter - Statistical Mechanics;
- Condensed Matter - Disordered Systems and Neural Networks
- E-Print:
- 8 pages, 3 figures