A Novel Approach to Topological Indices of the Power Graph Associated with the Dihedral Group of a Certain Order

Syarifudin, Abdul Gazir
Santi, Laila Maya
Shaumi, Nurina Fadlila
Suwastika, Erma
Wardhana, I Gede Adhitya Wisnu

EIGEN MATHEMATICS JOURNAL
Vol 8 No 2 (2025): December

Power graph of a group G, represented by \Gamma_G, is a graph where the vertex set consists of the elements of G. Two distinct vertices a, b \in G are connected by an edge if and only if there exists a positive integer m such that a^m = b or b^m = a. This study explores the utilization of a new approach to compute the topological indices of power graph associated with dihedral group with n=p^k, p is primes and k \in \mathbb{Z}. Results obtained indicate that the topological indices calculated using new approach yield the same values as those obtained with the conventional approach.