Comparison of Steklov eigenvalues and Laplacian eigenvalues on graphs

Published 27 Oct 2020 in math.DG and math.SP | (2010.13969v3)

Abstract: In this paper, we obtain a comparison of Steklov eigenvalues and Laplacian eigenvalues on graphs and discuss its rigidity. As applications of the comparison of eigenvalues, we obtain Lichnerowicz-type estimates and some combinatorial estimates for Steklov eigenvalues on graphs.

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