Mahdi Ebrahimi

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math.CO2024

Cayley graphs on symmetric groups generated by $n$ -cycles are hyperenergetic

Mahdi Ebrahimi

Let $Γ$ be a simple graph with $n$ vertices. The energy of $Γ$ , denoted by $E (Γ)$ , is defined as the sum of the absolute values of the eigenvalues of $Γ$ . The graph $Γ$ i…

math.CO2024

Cayley graphs on $p$ -solvable groups generated by $p$ -singular elements

Mahdi Ebrahimi

For a graph $Γ$ , the multiplicity of the eigenvalue $0$ , denoted by $η (Γ)$ , is called the nullity of $Γ$ . Also the energy of $Γ$ , denoted by $E (Γ)$ , is defined as the sum…

Cayley graphs on symmetric groups generated by n-cycles are hyperenergetic

Cayley graphs on p-solvable groups generated by p-singular elements

Cayley graphs on symmetric groups generated by $n$ -cycles are hyperenergetic

Cayley graphs on $p$ -solvable groups generated by $p$ -singular elements