Exploring Erdős-Rényi random graphs with IONTW

By Winfried Just1, Hannah Lea Callender2, Drew LaMar3

1. Department of Mathematics, Ohio University 2. University of Portland 3. College of William and Mary

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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.

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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.

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