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Exploring random regular 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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Abstract

In this module we introduce and explore the structure of random regular graphs. Moreover, we compare the predictions of SIR-models on random regular contact networks with the predictions of corresponding models on Erdős-Rényi networks.

Level: Undergraduate students of biology or mathematics for Sections 1 and 3; advanced undergraduate and graduate students of mathematics for optional Section 2

Requires: Section 2 of Module Exploring contact patterns between two subpopulations and either Subsection 1.1 of Module Exploring Erdős-Rényi random graphs with IONTW or Module 6 of [1]. The optional Section 2 relies on additional material from Module Exploring Erdős-Rényi random graphs with IONTW.

[1] Winfried Just, Hannah Callender, and M. Drew LaMar (2015); Disease transmission dynamics on networks: Network structure vs. disease dynamics. In: Raina Robeva (ed.), Algebraic and Discrete Mathematical Methods for Modern Biology, Academic Press, 217-235.

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Researchers should cite this work as follows:

  • Winfried Just; Hannah Lea Callender; Drew LaMar (2015), "Exploring random regular graphs with IONTW," https://qubeshub.org/resources/372.

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