Lectures on Graph Theory

Ray D. Sameshima earned his Ph.D. in Physics from the Graduate School and University Center of CUNY in 2019, following an M.A. from the City University of New York (CUNY) and a B.S. from Kyoto University. His research focuses on the mathematical structures of Feynman integrals, exploring their algebraic, geometrical, and topological properties. Dr. Sameshima is currently an Adjunct Professor at the New York City College of Technology (CUNY) and the New York Institute of Technology (NYIT).

• Introduction: what are Feynman Integrals?.- Algebraic Preliminaries.- Graph Theory 101.- Graph Theory 102.- Feynman Integrals in Schwinger-Feynman-Lee-Pomeransky Representations.- Advanced Topics.- Appendices.- Index.