On signed graphs with at most two eigenvalues unequal to $\pm 1$

Willem H. Haemers; Hatice Topcu

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arXiv · 2109.02522

On signed graphs with at most two eigenvalues unequal to $\pm 1$

Willem H. Haemers·Hatice Topcu

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Abstract

We present the first steps towards the determination of the signed graphs for which the adjacency matrix has all but at most two eigenvalues equal to 1 or -1. Here we deal with the disconnected, the bipartite and the complete signed graphs. In addition, we present many examples which cannot be obtained from an unsigned graph or its negative by switching.

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BibTeX RIS

Willem H. Haemers, Hatice Topcu. 2021-09-06. On signed graphs with at most two eigenvalues unequal to $\pm 1$. https://arxiv.org/abs/2109.02522

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