The eigenvalues of the Laplacian on locally finite networks under generalized node transition

DOI10.1007/s00025-009-0376-yzbMath1209.34039OpenAlexW2062792019MaRDI QIDQ732745

José A. Lubary, Joachim von Below

Publication date: 15 October 2009

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-009-0376-y

zbMATH Keywords

eigenvalue problemsLaplacianadjacency and transition operatorslocally finite graphs and networks

Mathematics Subject Classification ID

Boundary value problems on graphs and networks for ordinary differential equations (34B45) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Related Items (8)

On the asymptotic behaviour of semigroups for flows in infinite networks ⋮ Some remarks on the eigenvalue multiplicities of the Laplacian on infinite locally finite trees ⋮ The spectrum of the Hilbert space valued second derivative with general self-adjoint boundary conditions ⋮ Semigroups for flows in infinite networks ⋮ Unitary dimension reduction for a class of self-adjoint extensions with applications to graph-like structures ⋮ An index theory for uniformly locally finite graphs ⋮ Bi-continuous semigroups for flows on infinite networks ⋮ The eigenvalues of the Laplacian on locally finite networks

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