"Who is the Most Important Character in Frozen? What Networks Can Tell Us about the World"

Petter Holme, Hiroki Sayama, and I decided to take on the challenge of writing a mathematics paper for Frontiers for Young Minds, a scientific journal for young readers. Only a handful of mathematics papers have been published among their many hundreds of articles. We decided to give an introduction to networks through the movie Frozen and calculation of centralities. Our paper came out today, and here are some details. You can take a look at our paper either at their website or in .pdf form.

Title: Who is the Most Important Character in Frozen? What Networks Can Tell Us about the World

Authors: Petter Holme, Mason A. Porter, and Hiroki Sayama

Abstract: How do we determine the important characters in a movie like Frozen? We can watch it, of course, but there are also other ways—using mathematics and computers—to see who is important in the social network of a story. The idea is to compute numbers called centralities, which are ways of measuring who is important in social networks. In this paper, we talk about how different types of centralities measure importance in different ways. We also discuss how people use centralities to study many kinds of networks, not just social ones. Scientists are now developing centrality measures that also consider changes over time and different types of relationships.