K₄-free character graphs with seven vertices

2019/09/03 by Mahdi Ebrahimi, Ebrahimi, Mahdi
Mathematics · Engineering · Computer Science · #Finite Group Theory Research #graph theory and CDMA systems #Coding theory and cryptography

paper · pdf · doi:10.48550/arxiv.1909.01180

Abstract

For a finite group G, let Δ(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 K₄-free character graph Δ(G) having seven vertices. We also obtain a classification of all K₄-free graphs with seven vertices which can occur as character graphs of some finite groups.

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