Date of Thesis Acceptance
Major Department or Program
This paper gives a detailed overview of the Tutte polynomial and proves results that are simply stated in most of the current literature. It covers basic graph theory and matroid theory, basic properties of the Tutte polynomial, the recipe theorem and two applications of the recipe theorem: one to the Potts model and Ising model of statistical physics and one to the HOMFLY polynomial in knot theory.
Graph theory -- Tutte polynomial -- Recipe theorem, Matroids -- Theory, Statistical mechanics -- Potts Model, Ising model, Knot Theory -- Knot Polynomials, Knot Theory -- Homfly Polynomials, Whitman College 2015 -- Dissertation collection -- Mathematics Department
Public Accessible Thesis
If you have questions about permitted uses of this content, please contact the ARMINDA administrator
Porter, Alexander M., "The Tutte polynomial and applications" (2015). Honors Theses. 102.
In Copyright. URI: http://rightsstatements.org/vocab/InC/1.0/
This Item is protected by copyright and/or related rights. You are free to use this Item in any way that is permitted by the copyright and related rights legislation that applies to your use. For other uses you need to obtain permission from the rights-holder(s).