Laplacian polynomial of square power graph of dihedral group of order 2n with even natural number n
Abstract
Square power graph of the dihedral group D_n of order 2n, Γ_sq (D_n) is a simple undirected finite graph with vertex set D_n having pairs of different vertices u,v adjacent iff uv=w^2 or vu=w^2 for any w∈D_n with w^2≠e where e is the identity element of D_n. In this research work we have calculated laplacian polynomial of Γ_sq (D_n) when n is even natural number.
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- Characteristic polynomial of maximum and minimum matrix of square power graph of dihedral group of order 2n with odd natural number n
Ajay Siwach, Vinod Bhatia, Amit Sehgal, Pankaj Rana · International Journal of Statistics and Applied Mathematics · 2024
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.
- Complement of Equal-Square Graph of Finite Groups ↗
Narinder Kumar · Journal of Physics Conference Series · 2024
Abstract The Complement of Equal-Square graph of a finite group G denoted as CES(G) is a finite, simple and undirected graph having pair of different vertices x 1 and x 2 have edge iff x 1 2 ≠ x 2 2 . This research gives graphical representation of the Complement of Equal-Square graph of the cyclic and dihedral groups is…
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