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arXiv · 1511.03513

The spectrum of an I-graph

Allana S. S. de Oliveira·Cybele T. M. Vinagre
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Abstract

We completely determine the spectrum of an $I$-graph, that is, the eigenvalues of its adjacency matrix. We apply our result to prove known characterizations of connectedness and bipartiteness in $I$-graphs by using an spectral approach. With our result, we also determine the nullity of a certain subfamily of $I$-graphs.

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Allana S. S. de Oliveira, Cybele T. M. Vinagre. 2015-11-11. The spectrum of an I-graph. https://arxiv.org/abs/1511.03513

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