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 give ways of measuring who is important in networks. In this paper, we illustrate how different types of centralities measure importance in different ways. We also discuss how centralities are used to study many kinds of networks, not just social ones. In ongoing work, scientists are now developing centrality measures that also consider changes over time and different types of relationships.
Holme P, Porter M and Sayama H (2019) Who Is the Most Important Character in Frozen? What Networks Can Tell Us About the World. Front. Young Minds. 7:99. doi: 10.3389/frym.2019.00099