A power graph is defined a graph that it's vertices are the elements of group and two vertices are adjacent if and only if one of them is a power of the other. Suppose $A(X)$ is the adjacency matrix of graph $X$. Then the polynomial $\chi(X,\lambda)=det(xI-A(X))$ is called as characteristic polynomial of $X$. In this paper, we compute the characteristic polynomial of all power graphs of order $p^2q$, where $p,q$ are distinct prime numbers.
Abbasi-Barfaraz, F. (2023). Power graphs via their characteristic polynomial. Journal of Discrete Mathematics and Its Applications, 8(3), 187-199. doi: 10.22061/jdma.2023.2030
MLA
Fatemeh Abbasi-Barfaraz. "Power graphs via their characteristic polynomial". Journal of Discrete Mathematics and Its Applications, 8, 3, 2023, 187-199. doi: 10.22061/jdma.2023.2030
HARVARD
Abbasi-Barfaraz, F. (2023). 'Power graphs via their characteristic polynomial', Journal of Discrete Mathematics and Its Applications, 8(3), pp. 187-199. doi: 10.22061/jdma.2023.2030
VANCOUVER
Abbasi-Barfaraz, F. Power graphs via their characteristic polynomial. Journal of Discrete Mathematics and Its Applications, 2023; 8(3): 187-199. doi: 10.22061/jdma.2023.2030
)