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arXiv · 1906.08690

The strong spectral property for graphs

Jephian C. -H. Lin·Polona Oblak·Helena Šmigoc
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Abstract

We introduce the set $\mathcal{G}^{\rm SSP}$ of all simple graphs $G$ with the property that each symmetric matrix corresponding to a graph $G \in \mathcal{G}^{\rm SSP}$ has the strong spectral property. We find several families of graphs in $\mathcal{G}^{\rm SSP}$ and, in particular, characterise the trees in $\mathcal{G}^{\rm SSP}$.

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Jephian C. -H. Lin, Polona Oblak, Helena Šmigoc. 2019-06-20. The strong spectral property for graphs. https://arxiv.org/abs/1906.08690

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