Edge connectivity and the spectral gap of combinatorial and quantum graphs

Gregory Berkolaiko, James B. Kennedy, Pavel Kurasov, Delio Mugnolo

Type: Article

Publication Date: 2017-07-20

Citations: 39

DOI: https://doi.org/10.1088/1751-8121/aa8125

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Locations

arXiv (Cornell University) - View - PDF
DataCite API - View
Journal of Physics A Mathematical and Theoretical - View

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Works Cited by This (32)

Action	Title	Year	Authors
+	Spectral Graph Theory	1996	Fan Chung
+ PDF Chat	Algebraic connectivity of graphs	1973	Miroslav Fiedler
+ PDF Chat	Dependence of the spectrum of a quantum graph on vertex conditions and edge lengths	2012	Gregory Berkolaiko Peter Kuchment
+	Generalized extremal length of an infinite network	1976	Tadashi Nakamura Maretsugu Yamasaki
+ PDF Chat	On the Spectral Gap of a Quantum Graph	2016	James B. Kennedy Pavel Kurasov Gabriela Malenová Delio Mugnolo
+	Eigenvalues and structures of graphs	2008	Steven K. Butler
+ PDF Chat	Spectral gap for quantum graphs and their edge connectivity	2013	Pavel Kurasov Gabriela Malenová Serguei Naboko
+	A characteristic equation associated to an eigenvalue problem on c2-networks	1985	Joachim von Below
+ PDF Chat	Parabolic theory of the discrete -Laplace operator	2013	Delio Mugnolo
+	Variational and non-variational eigenvalues of the p-Laplacian	2007	Paul Binding Bryan P. Rynne