2024, Vol. 9, Issue 3, Part A
Characteristic polynomial of maximum and minimum matrix of square power graph of dihedral group of order 2n with odd natural number n
Author(s): Ajay Siwach, Vinod Bhatia, Amit Sehgal and Pankaj Rana
Abstract: For dihedral group
Dn of order 2n with identity element
R0, Square power graph of dihedral group
Dn is an undirected finite, simple graph having pair of distinct vertices
X1,
X2 have edge iff
X1 X2 =
X2 or
X2 X1 =
X2 for any
X ∈
Dn where
X2 ≠
R0. In this research, we have calculated characteristic polynomials of degree of vertex based matrices such as maximum and minimum matrix of the Square power graph of dihedral group
Dn of order 2n with odd natural number
n.
DOI: 10.22271/maths.2024.v9.i3a.1731Pages: 57-64 | Views: 271 | Downloads: 19Download Full Article: Click Here
How to cite this article:
Ajay Siwach, Vinod Bhatia, Amit Sehgal, Pankaj Rana.
Characteristic polynomial of maximum and minimum matrix of square power graph of dihedral group of order 2n with odd natural number n. Int J Stat Appl Math 2024;9(3):57-64. DOI:
10.22271/maths.2024.v9.i3a.1731