58 citations · 88 across the 4 of their papers we have counts for
4 papers
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…
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…
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…
Planar diagrams from optimization
S. K. Nechaev, A. N. Sobolevski, O. V. Valba
We propose a new toy model of a heteropolymer chain capable of forming planar secondary structures typical for RNA molecules. In this model the sequential intervals between neighbo…