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Original Articles

K4-free character graphs with seven vertices

Pages 1001-1010 | Received 06 Jun 2019, Accepted 26 Aug 2019, Published online: 05 Oct 2019
 

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 article, 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.

AMS Subject Classification:

Acknowledgments

I would like to express my gratitude to the referee for valuable comments which improved the original version. I also would like to thank Sadegh Nazardonyavi for his help during the preparation of the manuscript.

Additional information

Funding

This research was supported in part by a grant from School of Mathematics, Institute for Research in Fundamental Sciences (IPM).

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