BYU

Abstract by Matthew Steffen

Personal Infomation


Presenter's Name

Matthew Steffen

Degree Level

Undergraduate

Abstract Infomation


Department

Mathematics

Faculty Advisor

Ben Webb

Title

Family Networks and Measurements of Centrality

Abstract

Most real-world networks, including most social, biological, and technological networks, do not have a local tree-like structure. The exception is family networks. Due to a lack of literature on the topic, our goal is to begin by determining which types of measures or metrics are useful in analyzing such systems. The standard measures we consider to analyze these networks are degree centrality, eigenvector centrality, etc. Statistical tools such as the Kendall Tao scores relate the different centralities and show us which measurements remain constant along the variety of graphs and which differ. These differences in the scores demonstrate the impact that the local tree-like structure can have on the overarching structure and therefore determine the behaviors specific to the family network.