BYU

Abstract by Mikelle Rogers

Personal Infomation


Presenter's Name

Mikelle Rogers

Degree Level

Undergraduate

Abstract Infomation


Department

Mathematics

Faculty Advisor

Emily Evans

Title

Resistance Distance in Certain Families of Infinite Graphs

Abstract

Resistance distance is an important graph metric that has been used for graph sparsification, link prediction, graph cutting and commute time calculations.  My research focuses on determining the resistance distance, also known as the effective resistance, of families of infinite graphs.  I am currently developing tools in python that will allow researchers to more easily identify patterns in resistance distance, with an initial focus of linear two trees.  I expect that my research will help identify Fibonacci sequence like patterns in the resistance distance between nodes of a graph.