Czechoslovak Mathematical Journal

, Volume 68, Issue 3, pp 647–656

# Finite groups whose character degree graphs coincide with their prime graphs

• Temha Erkoç
• Utku Yilmaztürk
• İsmail Ş. Güloğlu
Article

## Abstract

In the literature, there are several graphs related to a finite group G. Two of them are the character degree graph, denoted by ΔG), and the prime graph ΓG), In this paper we classify all finite groups whose character degree graphs are disconnected and coincide with their prime graphs. As a corollary, we find all finite groups whose character degree graphs are square and coincide with their prime graphs.

## Keywords

finite groups character degree graph prime graph

20C15

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© Institute of Mathematics of the Academy of Sciences of the Czech Republic, Praha, Czech Republic 2018

## Authors and Affiliations

• Temha Erkoç
• 1
• Utku Yilmaztürk
• 1
• İsmail Ş. Güloğlu
• 2
1. 1.Department of Mathematics, Faculty of ScienceIstanbul University, VeznecilerFatih, IstanbulTurkey
2. 2.Department of MathematicsDoğuş UniversityAcıbadem, IstanbulTurkey