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.

S-shaped curve: The population initially grows exponentially, but as it approaches carrying capacity, the growth rate slows ...

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 ...

What are the underlying principles of how populations change over time? Two basic principles are involved, the idea of exponential growth and its ultimate control. The basics of population ecology ...

The growing availability of network data and of scientific interest in distributed systems has led to the rapid development of statistical models of net-work structure. Typically, however, these are ...