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

Fuente: arXiv
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Autori principali: Cai, Yiting, Zhou, Bo
Natura: Preprint
Pubblicazione: 2024
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author Cai, Yiting
Zhou, Bo
author_facet Cai, Yiting
Zhou, Bo
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2407_15898
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle The spectral radius of unbalanced signed graphs without negative $C_3$ or $C_4$
Cai, Yiting
Zhou, Bo
Combinatorics
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.
title The spectral radius of unbalanced signed graphs without negative $C_3$ or $C_4$
topic Combinatorics
url https://arxiv.org/abs/2407.15898