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math.SP2020
Isoperimetric upper bound for the first eigenvalue of discrete Steklov problems
Hélène Perrin
We study upper bounds for the first non-zero eigenvalue of the Steklov problem defined on finite graphs with boundary. For finite graphs with boundary included in a Cayley graph as…
math.SP2018
Lower bounds for the first eigenvalue of the Steklov problem on graphs
Hélène Perrin
We give lower bounds for the first non-zero Steklov eigenvalue on connected graphs. These bounds depend on the extrinsic diameter of the boundary and not on the diameter of the gra…