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All Journal BAREKENG: Jurnal Ilmu Matematika dan Terapan
R A Wahyu Fibriyanti
Department of Mathematics, Faculty of Mathematics and Natural Science, Universitas Gadjah Mada, Indonesia
Computer Science & IT Control & Systems Engineering Economics, Econometrics & Finance Energy Engineering Mathematics Mechanical Engineering Physics Transportation

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BIPARTITE GRAPH ASSOCIATED WITH ELEMENTS AND COSETS OF SUBRINGS OF FINITE RINGS Hubbi Muhammad; Niswah Qonita; R A Wahyu Fibriyanti; Yeni Susanti
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 17 No 2 (2023): BAREKENG: Journal of Mathematics and Its Applications
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/barekengvol17iss2pp0667-0672

Abstract

Let be a finite ring. The bipartite graph associated to elements and cosets of subrings of is a simple undirected graph with vertex set , where is the set of all subrings of , and two vertices and are adjacent if and only if In this study, we investigate some basic properties of the graph . In particular, we investigate some properties of , where is the ring of matrices over Also, we study the diameter of the bipartite graph associated to the quaternion ring
Co-Authors Hubbi Muhammad Niswah Qonita Yeni Susanti