Abstract

The four color problem was one of the most difficult to prove problems for 150 years. It took several failed proofs and advancement in technology and techniques for the final proof to become possible. Some notable men include De Morgan first writing about the problem, Kempe giving the first proof, Heawood showing the flaws in Kempe’s work as well as making advancements of his own. The first actual proof of the problem is then discussed, as well as it’s shortcomings and the work done by other mathematicians to show improvements on them. The total of this work has lead to numerous great leaps in mathematics including the creation of the branch known as graph theory. This one problem also revolutionized proof writing, being the first to use a computer as an essential part of the proving process.

Semester/Year of Award

Spring 5-3-2020

Mentor

Mathew M. Cropper

Mentor Professional Affiliation

Department of Mathematics and Statistics

Access Options

Open Access Thesis

Document Type

Bachelor Thesis

Degree Name

Honors Scholars

Degree Level

Bachelor

Department

Mathematics and Statistics

Presentation

https://web.microsoftstream.com/video/54c45cdb-f438-48a5-9a93-ba8a2266412d

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