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 ...

Forbes contributors publish independent expert analyses and insights. I help people communicate data clearly with graphs. There are two main reasons to use logarithmic scales in charts and graphs. The ...

This is a preview. Log in through your library . Abstract We derive the full phase diagram for a large family of two-parameter exponential random graph models, each containing a first order transition ...

Any function and its inverse are symmetrical about the line\(y = x\).

Forbes contributors publish independent expert analyses and insights. I help people communicate data clearly with graphs. In “When Should I Use Logarithmic Scales in My Charts and Graphs”, I showed ...