Can I read Erd\"os-R\'enyi Poissonized on EtoBox?

Erd\"os-R\'enyi Poissonized by Curien, Nicolas is a scholarly article available to read on EtoBox.

What is Erd\"os-R\'enyi Poissonized about?

We introduce a variant of the Erd\"os--R\'enyi random graph where the number of vertices is random and follows a Poisson law. A very simple Markov property of the model entails that the Lukasiewicz exploration is made of \textit{independent} Poisson increments. Using a vanilla Poisson counting process, this enables us to give very short proofs of classical results such as the phase transition for the giant component or the connectedness for the standard Erd\"os--R\'enyi model.

Author

Curien, Nicolas

Published

2022

Language

EN