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Applied Mathematics

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Electronic Theses and Dissertations

2015

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Enumerating Graphs Using Integrals From Quantum Field Theory, William A. Coggins Jan 2015

Enumerating Graphs Using Integrals From Quantum Field Theory, William A. Coggins

Electronic Theses and Dissertations

Enumerating graphs is a relatively new subfield of mathematics. In this thesis, we will discuss a enumerative method that derives from Quantum Field Theory. We begin with the basic ideas of Calculus and extend them into a enumerative method that will allow us to classify graphs embedded on surfaces.