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Maharani, Andika Ellena Saufika Hakim
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Journal : Science and Technology Indonesia

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Transmission-Based Energies of Prime Coprime Graph for Integers Modulo Group Romdhini, Mamika Ujianita; Abdurahim; Maharani, Andika Ellena Saufika Hakim; Kamali, Siti Raudhatul
Science and Technology Indonesia Vol. 10 No. 3 (2025): July
Publisher : Research Center of Inorganic Materials and Coordination Complexes, FMIPA Universitas Sriwijaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26554/sti.2025.10.3.759-765

Abstract

Graphs are an excellent instrument that provides an algebraic structure for visualizing and interpreting molecule structures and characteristics. As a result, the problem statement arises regarding how we can interpret graphs with eigenvalues concerning their corresponding matrices. Such questions can be answered by studying spectral graph theory. This research focuses on graphs whose vertex sets are group elements in which the structure of ℤn groups and the definition of a prime coprime graph serve as the foundation for the graph building used in this study. The matrix construction of the graph is based on transmission-based matrices including Weiner-Hosoya and distance signless Laplacian matrices. Research methods include investigating the transmission properties and formulation of the characteristic equation using block matrices. The results obtained are a comprehensive analysis of eigenvalues, spectrum, and spectral radius leading to the prime coprime graph energy for ℤn groups corresponding to both matrices.
Co-Authors Abdurahim, Abdurahim Abdurrachman Rahim Adhamatika, Adhima Agus Kurnia ARI SUPARWANTO Azka, Dea Alvionita Cahyani, Ade Indah Fadillah, Muhammad Fatanaya, Nafika Hafidah, Nur Hamdi, Ahmadil Harsyiah, Lisa Helmina Andriani Hidayat, Malik Hidayatullah, Azka Farris Hisda, Laylatul Irwansyah Irwansyah Iswatun Hasanah Ivan Luthfi Ihwani, Ivan Luthfi Kusuma, Shendy Arya Lailia Awalushaumi Lailia Awalushaumi, Lailia Lalu Danu Prima Arzani Lestari, Natasya Dyahayu Lingga Gita Dwikasari, Lingga Gita Mamika Ujianita Romdhini, Mamika Ujianita Marwan Marwan Meida, Inka Nurul Muhammad Nizhar Naufali Muhammad Rijal Alfian Nurkhaliza WR, Siti Putri, Destiana Adinda PUTU MEIKAPASA, NI WAYAN Qurratul Aini Ramadhan, Hikmal Maulana Ratih, Wahyu Erinna Rio Satriyantara Risnawati Risnawati Robbaniyyah, Nuzla Af'idatur Robbaniyyah, Nuzla Af’idatur Sahrin, Laila Alfi Salwa Salwa Salwa Saofitri, Saofitri Sari, Baiq Nadia Ulfa Satryantara, Rio Setiandini, Gifani Putri Siti Raudhatul Kamali Syamsul Bahri Taufik Hidayat Tri Maryono Rusadi Wulan, Lalu Gede Damar Wulandari, Maelina Widia Zikri, Lalu Muhammad Faiz Zulhan Widya Baskara