BYU

Abstract by Matthew McGrath

Personal Infomation


Presenter's Name

Matthew McGrath

Co-Presenters

None

Degree Level

Undergraduate

Co-Authors

None

Abstract Infomation


Department

Mathematics

Faculty Advisor

Curtis Kent

Title

Stable Colorings of L^{p}-metrics in the plane

Abstract

We will explore colorings of the plane endowed with different L^{p}-metrics. One natural way to construct colorings is by considering tilings of the plane. As we allow our metric to vary, some tilings will remain colorings with the new metric. We will call such colorings, "stable colorings." We seek a stable coloring for every L^{p}-metric of the plane.