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Operators on Graphs

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Book cover Spectral Theory

Part of the book series: Graduate Texts in Mathematics ((GTM,volume 284))

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Abstract

This chapter gives a brief introduction to the spectral theory of graphs. The primary focus is on quantum graphs consisting of the Laplacian operator acting on a metric graph.

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References

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  7. Kuchment, P.: Quantum graphs: an introduction and a brief survey. In: Proceedings of Symposia in Pure Mathematics, Analysis on Graphs and Its Applications, vol. 77, pp. 291–312. American Mathematical Society, Providence (2008)

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  8. Kurasov, P., Naboko, S.: Rayleigh estimates for differential operators on graphs. J. Spectr. Theory 4, 211–219 (2014)

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Authors and Affiliations

  1. Department of Mathematics, Emory University, Atlanta, GA, USA

    David Borthwick

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  1. David Borthwick
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Borthwick, D. (2020). Operators on Graphs. In: Spectral Theory. Graduate Texts in Mathematics, vol 284. Springer, Cham. https://doi.org/10.1007/978-3-030-38002-1_8

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