Section 1 is purely conceptual and invites readers to critically evaluate popular claims based on Stanley Milgram's famous experiment that gave birth to the phrases small-world property and six degrees of separation. In Section 2 we use IONTW to explore distances between nodes in several types of networks. We also propose a definition of the small-world property that is suitable for classes of disconnected graphs.

Level: Undergraduate students of biology or mathematics for Section 1; advanced undergraduate and graduate students of mathematics for Section 2.
Requires: Section 2 references some material from Module Exploring Erdős-Rényi random graphs with IONTW and Module Exploring random regular graphs with IONTW.

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Researchers should cite this work as follows:

• Winfried Just; Hannah Lea Callender; Drew LaMar (2015), "Exploring distances with IONTW," https://qubeshub.org/resources/382.

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1. disease transmission
2. epidemiology
3. IONTW
4. module
5. networks
6. Resources @ QUBES - Teaching & Reference
7. six degrees of separation
8. small-world property