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Power graphs via their characteristic polynomial | ||
Journal of Discrete Mathematics and Its Applications | ||
مقاله 5، دوره 8، شماره 3، آذر 2023، صفحه 157-169 اصل مقاله (1.24 M) | ||
نوع مقاله: Full Length Article | ||
شناسه دیجیتال (DOI): 10.22061/jdma.2023.2030 | ||
نویسنده | ||
Fatemeh Abbasi-Barfaraz* | ||
Ministry of Education, Organization for Education and Training, Tehran, I. R. Iran | ||
تاریخ دریافت: 11 تیر 1402، تاریخ بازنگری: 31 تیر 1402، تاریخ پذیرش: 07 شهریور 1402 | ||
چکیده | ||
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. | ||
کلیدواژهها | ||
power graph؛ characteristic polynomial؛ generelized coalescence | ||
آمار تعداد مشاهده مقاله: 78 تعداد دریافت فایل اصل مقاله: 163 |