Edge connectivity and the spectral gap of combinatorial and quantum graphs

DOI10.1088/1751-8121/aa8125zbMath1456.81193arXiv1702.05264OpenAlexW3099030523MaRDI QIDQ5369076

Delio Mugnolo, Gregory Berkolaiko, James Bernard Kennedy, Pavel Kurasov

Publication date: 12 October 2017

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1702.05264

zbMATH Keywords

graphSturm-Liouville problemspectral gapLaplacianspectral geometryquantum graph

Mathematics Subject Classification ID

Association schemes, strongly regular graphs (05E30) General topics in linear spectral theory for PDEs (35P05) Sturm-Liouville theory (34B24) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

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