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Physical Sciences and Mathematics Commons™
Open Access. Powered by Scholars. Published by Universities.®
Articles 1 - 2 of 2
Full-Text Articles in Physical Sciences and Mathematics
Spectral Graph Theory And Research, Nathan H. Kershaw, Lewis Glabush
Spectral Graph Theory And Research, Nathan H. Kershaw, Lewis Glabush
Undergraduate Student Research Internships Conference
Our topic of study was Spectral Graph Theory. We studied the algebraic methods used to study the properties of graphs (networks) and became familiar with the applications of network analysis. We spent a significant amount of time studying the way virus’s spread on networks, with particular applications to Covid-19. We also investigated the relationship between graph spectra and structural properties.
Vibrations On Networks, Zachary Pontrantolfi
Vibrations On Networks, Zachary Pontrantolfi
Scholars Week
Studying vibrations on networks helps inform our understanding of random processes on other networks with similar geometry. We discuss two physical models to build up intuition about their eigenvectors. We conclude with a hidden connection between the rate of convergence of random walks, and the ground state energies of molecules.