Abstract
For a character χ of a finite group G, the number is called the codegree of χ. In this paper we show that if G is nonsolvable, then the codegree graph has a triangle. Also by using this result we show that if G has one composite codegree, then G is solvable and
2010 MATHEMATICAS SUBJECT CLASSIFICATION:
Acknowledgments
The authors gratefully appreciate anonymous referee for comments and recommendations which definitely helped to improve the readability and quality of the paper.