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All Journal Jurnal Sains Dasar Jurnal Fourier BAREKENG: Jurnal Ilmu Matematika dan Terapan Jambura Journal of Mathematics Jurnal Ilmiah Matematika dan Pendidikan Matematika (JMP) Jurnal Ilmiah Matematika Journal of Fundamental Mathematics and Applications (JFMA)
Arif Munandar
UIN Sunan Kalijaga Yogyakarta
Computer Science & IT Control & Systems Engineering Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Education Energy Engineering Mathematics Mechanical Engineering Physics Transportation

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Connectivity Indices of Power Graphs over Dihedral Groups of a Certain Order Munandar, Arif
Jurnal Sains Dasar Vol. 14 No. 1 (2025): April 2025
Publisher : Faculty of Mathematics and Natural Science, Universitas Negeri Yogyakarta

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Abstract

The dihedral group is a mathematical structure generated by rotational and reflection symmetries. In this study, the representation of the group is described using a power graph, where all elements of the group are treated as vertices, and two distinct elements are considered adjacent when one is a power of the other. By analyzing the structural patterns of the resulting power graphs, various connectivity indices can be determined, particularly for dihedral groups whose orders are powers of a prime number. This research focuses on six specific connectivity indices: the first Zagreb index, the second Zagreb index, the Wiener index, the hyper-Wiener index, the Harary index, and the Szeged index.
Co-Authors Carlinda, Ardha Febrianti, Alfina Berliana Ilma Nindita Ramadhani Indah Emilia Wijayanti Khurul Wardati Muhammad Lutfi Prakasta Nuur, Imam Hafiidz Rahmadina, Alifah Fitria Shofiyulloh, M. Yogi Anggara