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arXiv · 1909.01180

$K_4$-free character graphs with seven vertices

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 determine the structure of all finite groups $G$ with $K_4$-free character graph $\Delta(G)$ having seven vertices. We also obtain a classification of all $K_4$-free graphs with seven vertices which can occur as character graphs of some finite groups.

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Mahdi Ebrahimi. 2019-09-03. $K_4$-free character graphs with seven vertices. https://arxiv.org/abs/1909.01180

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