TY - JOUR
TI - BIPARTITE GRAPH ASSOCIATED WITH ELEMENTS AND COSETS OF SUBRINGS OF FINITE RINGS
AU - Hubbi Muhammad; Niswah Qonita; R A Wahyu Fibriyanti; Yeni Susanti
IS - Vol 17 No 2 (2023): BAREKENG: Journal of Mathematics and Its Applications
PB - PATTIMURA UNIVERSITY
JO - BAREKENG: Jurnal Ilmu Matematika dan Terapan
PY - 2023
SP - 0667
EP - 0672
UR - https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/6958/5928
AB - 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