Spectral Gap for Complete Graphs: Upper and Lower Estimates

DOI10.1007/978-3-319-16619-3_8zbMath1335.05110OpenAlexW1959289514MaRDI QIDQ2803987

Pavel Kurasov

Publication date: 3 May 2016

Published in: Mathematical Technology of Networks (Search for Journal in Brave)

Full work available at URL: http://urn.kb.se/resolve?urn=urn:nbn:se:su:diva-113150

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Spectrum, resolvent (47A10) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37)

Related Items (6)

Schrödinger operators on graphs and geometry. III. General vertex conditions and counterexamples ⋮ Eigenvalue estimates for the Laplacian on a metric tree ⋮ On the ground state for quantum graphs ⋮ Asymptotically isospectral quantum graphs and generalised trigonometric polynomials ⋮ On applications of Herglotz-Nevanlinna functions in material sciences. I: Classical theory and applications of sum rules ⋮ On torsional rigidity and ground-state energy of compact quantum graphs

Cites Work

• Rayleigh estimates for differential operators on graphs
• Spectral analysis on graph-like spaces
• Eigenvalues and expanders
• Extremal properties of eigenvalues for a metric graph.
• Asymptotically isospectral quantum graphs and generalised trigonometric polynomials
• Spectral analysis of metric graphs and related spaces
• Inverse spectral problem for quantum graphs
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