MSUM Mathematics majors Kelli Vosberg, Abi Carlson to present in this week’s Undergraduate Math Seminar
Wednesday, March 22| 4-4:50 p.m. | Bridges 268
Featuring MSUM Mathematics majors Kelli Vosberg and Abi Carlson | The Five Color Theorem; The Cauchy-Frobenius-Burnside Theorem
Kelli Vosberg will be speaking on “The Five Color Theorem.”
We will discuss coloring a map so that no two adjacent regions are assigned the same color. Graph theory will be used to prove that every map is 5 colorable.
Abi Carlson will be speaking on “The Cauchy-Frobenius-Burnside Theorem: A Crossroads of Group Theory and Counting.”
Given a necklace with four beads, and two different color options for each bead, in how many distinct ways can we color the beads of the necklace? What if we increase the number of beads from four to ten? In this talk we will take a mathematical approach to determining the answers to these questions, and we will use group theory and enumeration processes to do so. The Cauchy-Frobenius-Burnside Theorem will be discussed and applied.