We study the asymptotics for sparse exponential random graph models where the parameters may depend on the number of vertices of the graph. We obtain exact estimates for the mean and variance of the ...

Gesine Reinert, Nathan Ross, APPROXIMATING STATIONARY DISTRIBUTIONS OF FAST MIXING GLAUBER DYNAMICS, WITH APPLICATIONS TO EXPONENTIAL RANDOM GRAPHS, The Annals of Applied Probability, Vol. 29, No. 5 ...

The statistical physics of graphs and partition functions represents a vibrant intersection of graph theory, statistical mechanics and computational complexity. By summing over an ensemble of ...

Exponential graphs are graphs in the form \(y = k^x\). These graphs increase rapidly in the \(y\) direction and will never fall below the \(x\)-axis.