BIPARTITE GRAPH ASSOCIATED WITH ELEMENTS AND COSETS OF SUBRINGS OF FINITE RINGS

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 . I...

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Bibliographic Details
Published in:Barekeng
Main Authors: Hubbi Muhammad, Niswah Qonita, R A Wahyu Fibriyanti, Yeni Susanti
Format: Article
Language:English
Published: Universitas Pattimura 2023-06-01
Subjects:
bipartite graph
finite ring
cosets
quarternion
matrices
Online Access:https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/6958
Description
Summary: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
ISSN:1978-7227
2615-3017

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