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2013 Magnetic interpretation of the nodal defect on graphs
Yves Colin de Verdière
Anal. PDE 6(5): 1235-1242 (2013). DOI: 10.2140/apde.2013.6.1235

Abstract

We present a natural proof of a recent and surprising result of Gregory Berkolaiko interpreting the Courant nodal defect as a Morse index. This proof is inspired by a nice paper of Miroslav Fiedler published in 1975.

Citation

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Yves Colin de Verdière. "Magnetic interpretation of the nodal defect on graphs." Anal. PDE 6 (5) 1235 - 1242, 2013. https://doi.org/10.2140/apde.2013.6.1235

Information

Received: 13 December 2012; Revised: 15 January 2013; Accepted: 14 February 2013; Published: 2013
First available in Project Euclid: 20 December 2017

zbMATH: 1281.35090
MathSciNet: MR3125555
Digital Object Identifier: 10.2140/apde.2013.6.1235

Subjects:
Primary: 05C50, 35P05

Rights: Copyright © 2013 Mathematical Sciences Publishers

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Vol.6 • No. 5 • 2013
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