In this module we explore in detail the distribution of the sizes of connected components of Erdős-Rényi random graphs and discover the reasons for the similarities and differences between disease transmission on Erdős-Rényi networks and complete graphs that were observed in the explorations of Module 6 of [1].

Level: Advanced undergraduate and graduate students of mathematics

[1] Winfried Just, Hannah Callender, and M Drew LaMar. Disease transmission dynamics on networks: Network structure vs. disease dynamics. In Raina Robeva, editor, Algebraic and Discrete Mathematical Methods for Modern Biology. Academic Press, 2015.

Researchers should cite this work as follows:

• Winfried Just; Hannah Lea Callender; Drew LaMar (2015), "Exploring Erdős-Rényi random graphs with IONTW," https://qubeshub.org/resources/370.

  BibTex | EndNote

1. complete graphs
2. disease transmission
3. epidemiology
4. erdos-renyi
5. IONTW
6. module
7. network theory
8. random graphs
9. Resources @ QUBES - Teaching & Reference