A statistical mechanics approach for scale-free networks and finite-scale networks Export

@article{citeulike:5056915, abstract = {We present a statistical mechanics approach for the description of complex networks. We first define an energy and an entropy, associated with a degree distribution, which have a geometrical interpretation. Next we evaluate the distribution that extremizes the free energy of the network. We find two important limiting cases: a scale-free degree distribution and a finite-scale degree distribution. The size of the space of allowed simple networks given these distributions is evaluated in the large network limit. Results are compared with simulations of algorithms generating these networks. {\copyright} 2007 American Institute of Physics.}, author = {Bianconi, Ginestra}, citeulike-article-id = {5056915}, citeulike-linkout-0 = {http://dx.doi.org/10.1063/1.2720642}, doi = {10.1063/1.2720642}, issn = {10541500}, journal = {Chaos: An Interdisciplinary Journal of Nonlinear Science}, keywords = {cale-free, entropy, finite-scale, mechanics, networks, statistical}, number = {2}, pages = {026114+}, posted-at = {2009-07-04 18:38:24}, priority = {2}, title = {A statistical mechanics approach for scale-free networks and finite-scale networks}, url = {http://dx.doi.org/10.1063/1.2720642}, volume = {17}, year = {2007} }

TY - JOUR ID - citeulike:5056915 L3 - citeulike-article-id:5056915 N2 - We present a statistical mechanics approach for the description of complex networks. We first define an energy and an entropy, associated with a degree distribution, which have a geometrical interpretation. Next we evaluate the distribution that extremizes the free energy of the network. We find two important limiting cases: a scale-free degree distribution and a finite-scale degree distribution. The size of the space of allowed simple networks given these distributions is evaluated in the large network limit. Results are compared with simulations of algorithms generating these networks. © 2007 American Institute of Physics. IS - 2 JF - Chaos: An Interdisciplinary Journal of Nonlinear Science SN - 10541500 TI - A statistical mechanics approach for scale-free networks and finite-scale networks VL - 17 SP - 026114 KW - cale-free KW - entropy KW - finite-scale KW - mechanics KW - networks KW - statistical AU - Bianconi, Ginestra PY - 2007/// UR - http://dx.doi.org/10.1063/1.2720642 ER -