Magnetic interpretation of the nodal defect on graphs

Yves Colin de Verdière

doi:10.2140/apde.2013.6.1235

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Home > Journals > Anal. PDE > Volume 6 > Issue 5 > Article

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

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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.

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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