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 .
Level: Advanced undergraduate and graduate students of mathematics
 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.
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