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math.SP2023
The spectral geometry of biregular graphs: a quantum graph approach
Robert Carlson
The spectral theory of the Laplace differential operator for biregular quantum graphs is developed. Trees are studied in detail. Generating functions for closed non backtracking wa…
math.SP2021
Robin boundary conditions for the Laplacian on metric graph completions
Robert Carlson
A generalization of Robin boundary conditions leading to self-adjoint operators is developed for the second derivative operator on metric graphs with compact completion and totally…