Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2005-03-16
Physics
Condensed Matter
Statistical Mechanics
13 pages (to appear in proc. CNET2004)
Scientific paper
We investigate a class of random graph ensembles based on the Feynman graphs of multidimensional integrals, representing statistical-mechanical partition functions. We show that the resulting ensembles of random graphs strongly resemble those defined in random graphs with hidden color (CDRG), generalizing the known relation of the Feynman graphs of simple one-dimensional integrals to random graphs with a given degree distribution.
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