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All Journal Natural Science: Journal of Science and Technology Kubik JURNAL PENGABDIAN KEPADA MASYARAKAT Journal of Mathematics and Mathematics Education (JMME) BAREKENG: Jurnal Ilmu Matematika dan Terapan JTAM (Jurnal Teori dan Aplikasi Matematika) KUBIK: Jurnal Publikasi Ilmiah Matematika Prosiding Konferensi Nasional Penelitian Matematika dan Pembelajarannya
Vika Yugi Kurniawan
Prodi Matematika, Fakultas Matematika Dan Ilmu Pengetahuan Alam, Universitas Sebelas Maret Jl. Ir. Sutami No.36, Kentingan, Kec. Jebres, Kota Surakarta, Jawa Tengah 57126
Arts Humanities Computer Science & IT Control & Systems Engineering Economics, Econometrics & Finance Education Energy Engineering Languange, Linguistic, Communication & Media Mathematics Mechanical Engineering Physics Social Sciences Transportation

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Syarat Regularitas dan Eulerian Graf Unit dari Ring Z_n Kurniawan, Vika Yugi; Nisa, Lailatul Chairul
KUBIK Vol 9 No 1 (2024): KUBIK: Jurnal Publikasi Ilmiah Matematika
Publisher : Jurusan Matematika, Fakultas Sains dan Teknologi, UIN Sunan Gunung Djati Bandung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15575/kubik.v9i1.33693

Abstract

Let be a ring of integers modulo and denote the set of all unit elements of the ring. The unit graph of which is denoted by is a simple graph, where the vertices of are all elements of, where two different vertices and are connected by an edge if and only if is the unit of. In this article, we will examine the properties of the unit graph of the ring. The results of this study show that is an Euler graph if where is even, and is a regular graph if is even.
Co-Authors Ashidiqi, Muhammad Rofi' Diari Indriati Ekasiwi, Chessa Fanny Ika Nur Fitriani Mariiaa, Haniiam Meinawati, Rima Muhammad Bilal Nisa, Lailatul Chairul Nughthoh Arfawi Kurdhi, Nughthoh Arfawi Purboutomo, Bayu Putranto Hadi Utomo PUTRI WULANDARI Putri, Oktaviana Putri, Zakia Nur Ramadhani Rachmawati, Zahra Febrilia S Siswanto Santoso Budi Wiyono Septiany, Ade Safira Setiyowati, Ririn Siswanto Siswanto Siswanto Supriyadi Wibowo Sutrima Sutrima Sutrima, S Sutrima, Sutrima Sutrima Wibowo, Supriyadi Wibowo