Random Feynman Graphs
AIP conf. proc. 776, eds. J. F. F. Mendes et al., 118-132 (2005)
(Contrib. to conf. CNET 2004, SCIENCE OF COMPLEX NETWORKS: From Biology to the Internet and WWW, held in Aveiro, Portugal, Aug-Sep 2004)
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, generalizing the known relation of the Feynman graphs of simple one-dimensional integrals to random graphs with a given degree distribution.
LU TP 05-09