58 citations · 88 across the 4 of their papers we have counts for
Showing cond-mat.stat-mechShow all
3 papers · 1 filter
cond-mat.stat-mech2016★ 10 cited
Paths counting on simple graphs: from escape to localization
S. K. Nechaev, M. V. Tamm, O. V. Valba
We study the asymptotic behavior of the number of paths of length on several classes of infinite graphs with a single special vertex. This vertex can work as an entropic trap f…
cond-mat.stat-mech2016★ 58 cited
Eigenvalue tunnelling and decay of quenched random networks
V. Avetisov, M. Hovhannisyan, A. Gorsky +3
We consider the canonical ensemble of -vertex Erdős-Rényi (ER) random topological graphs with quenched vertex degree, and with fugacity for each closed triple of bonds. We c…
cond-mat.stat-mech2013★ 12 cited
Islands of stability in motif distributions of random networks
M. V. Tamm, A. B. Shkarin, V. A. Avetisov +2
We consider random non-directed networks subject to dynamics conserving vertex degrees and study analytically and numerically equilibrium three-vertex motif distributions in the pr…