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math.SP2023
On topological states and secular equations for quantum-graph eigenvalues
Evans M. Harrell, Anna V. Maltsev
Quantum graphs without interaction which contain equilateral cycles possess "topological" bound states which do not correspond to zeroes of one of the two variants of the secular e…
math.SP2018
Localization and landscape functions on quantum graphs
Evans M. Harrell, Anna V. Maltsev
We discuss explicit landscape functions for quantum graphs. By a "landscape function" we mean a function that controls the localization properties of normalized eigenfunctio…