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arXiv · 2407.15898

The spectral radius of unbalanced signed graphs without negative $C_3$ or $C_4$

Yiting Cai·Bo Zhou
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Abstract

A signed graph is a graph in which every edge carries a $+$ or a $-$ sign. In this paper, we determine the signed graphs with maximum spectral radius among all unbalanced signed graphs with fixed order that contain neither negative three-cycles nor negative four-cycles.

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Yiting Cai, Bo Zhou. 2024-07-22. The spectral radius of unbalanced signed graphs without negative $C_3$ or $C_4$. https://arxiv.org/abs/2407.15898

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