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All Journal Journal of the Indonesian Mathematical Society BAREKENG: Jurnal Ilmu Matematika dan Terapan JTAM (Jurnal Teori dan Aplikasi Matematika) EIGEN MATHEMATICS JOURNAL
Suwastika, Erma
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Computer Science & IT Control & Systems Engineering Economics, Econometrics & Finance Energy Engineering Mathematics Mechanical Engineering Physics Transportation

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Journal : EIGEN MATHEMATICS JOURNAL

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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
Publisher : University of Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/emj.v8i2.253

Abstract

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.
Co-Authors Abrar, Ahmad Muchlas Faradiyah, Andi Rafiqa I Gede Adhitya Wisnu Wardhana Intan Muchtadi Alamsyah Rian Kurnia, Rian Santi, Laila Maya Shaumi, Nurina Fadlila Supu, Nur Ain Wijaya, Verrel Rievaldo