Michel BauerDenis Bernard
Maximal Entropy Random Networks with Given Degree Distribution
Preprint series: ESI preprints

MSC:

60J99 None of the above but in this section

PACS: 05.40.-a;02.50.-r;89.20.-a
Abstract: Using a maximum entropy principle to assign a statistical weight to
any graph, we introduce a model of random graphs with arbitrary degree
distribution in the framework of standard statistical mechanics. We
compute the free energy and the distribution of connected components.
We determine the size of the percolation cluster above the
percolation threshold. The conditional degree distribution on the
percolation cluster is also given. We briefly present the analogous
discussion for oriented graphs, giving for example the percolation
criterion.