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.
Cite this work
Researchers should cite this work as follows: