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arXiv · 1909.03062

Character graphs with diameter three

Mahdi Ebrahimi
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Abstract

For a finite group $G$, let $\Delta(G)$ denote the character graph built on the set of degrees of the irreducible complex characters of $G$. In this paper, we show that if the diameter of $\Delta(G)$ is equal to three, then the complement of $\Delta(G)$ is bipartite. Also in this case, we determine the structure of the character graph $\Delta(G)$.

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Mahdi Ebrahimi. 2019-09-06. Character graphs with diameter three. https://arxiv.org/abs/1909.03062

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