Sign in to use this feature.

Years

Between: -

Subjects

remove_circle_outline
remove_circle_outline
remove_circle_outline

Journals

Article Types

Countries / Regions

Search Results (1)

Search Parameters:
Keywords = dot total graph

Order results
Result details
Results per page
Select all
Export citation of selected articles as:
13 pages, 315 KB  
Article
An Ideal-Based Dot Total Graph of a Commutative Ring
by Mohammad Ashraf, Jaber H. Asalool, Abdulaziz M. Alanazi and Ahmed Alamer
Mathematics 2021, 9(23), 3072; https://doi.org/10.3390/math9233072 - 29 Nov 2021
Cited by 3 | Viewed by 2398
Abstract
In this paper, we introduce and investigate an ideal-based dot total graph of commutative ring R with nonzero unity. We show that this graph is connected and has a small diameter of at most two. Furthermore, its vertex set is divided into three [...] Read more.
In this paper, we introduce and investigate an ideal-based dot total graph of commutative ring R with nonzero unity. We show that this graph is connected and has a small diameter of at most two. Furthermore, its vertex set is divided into three disjoint subsets of R. After that, connectivity, clique number, and girth have also been studied. Finally, we determine the cases when it is Eulerian, Hamiltonian, and contains a Eulerian trail. Full article
(This article belongs to the Special Issue Algebraic Structures and Graph Theory)
Show Figures

Figure 1

Back to TopTop