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math.CO2021★ 2 cited
A family of tetravalent one-regular graphs
Mohsen Ghasemi, Rezvan Varmazyar
A graph is one-regular if its automorphism group acts regularly on the set of its arcs. In this paper, -valent one-regular graphs of order , where is a prime, are clas…
math.GR2021
A note on codegrees and Taketa's inequality
Mahtab Delfani, Mohsen Ghasemi, Somayeh Hekmatara
Let be a finite group and will be the set of the degrees of the complex irreducible characters of . Also let be the set of codegrees of the irre…
math.GR2021
Equivalent version of Huppert's conjecture for -groups
Mohsen Ghasemi, Somayeh Hekmatara
In this note we verify the equivalent version of Huppert's conjecture for -groups.