TY - JOUR
T1 - Spectral density of random graphs with topological constraints
AU - Rogers, Tim
AU - Pérez Vicente, Conrad
AU - Takeda, Koujin
AU - Pérez Castillo, Isaac
PY - 2010
Y1 - 2010
N2 - The spectral density of random graphs with topological constraints is analysed using the replica method. We consider graph ensembles featuring generalised degree-degree correlations, as well as those with a community structure. In each case an exact solution is found for the spectral density in the form of consistency equations depending on the statistical properties of the graph ensemble in question. We highlight the effect of these topological constraints on the resulting spectral density.
AB - The spectral density of random graphs with topological constraints is analysed using the replica method. We consider graph ensembles featuring generalised degree-degree correlations, as well as those with a community structure. In each case an exact solution is found for the spectral density in the form of consistency equations depending on the statistical properties of the graph ensemble in question. We highlight the effect of these topological constraints on the resulting spectral density.
UR - http://www.scopus.com/inward/record.url?scp=77951999580&partnerID=8YFLogxK
UR - http://dx.doi.org/10.1088/1751-8113/43/19/195002
UR - http://arxiv.org/abs/0910.3556
U2 - 10.1088/1751-8113/43/19/195002
DO - 10.1088/1751-8113/43/19/195002
M3 - Article
SN - 1751-8113
VL - 43
JO - Journal of Physics A: Mathematical and Theoretical
JF - Journal of Physics A: Mathematical and Theoretical
IS - 19
M1 - 195002
ER -