Preferred Language
Articles
/
ijs-7678
Some Results on the Generalized Cayley Graph of Complete Graphs
...Show More Authors

     . Suppose that  is the Cayley graph whose vertices are all elements of  and two vertices  and  are adjacent if and only if . In this paper,we introduce the generalized Cayley graph denoted by  which is a graph with a vertex set consisting of all column matrices  in which all components are in  and two vertices  and  are adjacent if and only if , where  is a column matrix that each entry is the inverse of the similar entry of  and  is  matrix with all entries in  ,  is the transpose of  and  and m . We aim to provide some basic properties of the new graph and determine the structure of  when  is a complete graph  for every , and n, m  .

Scopus Crossref
View Publication Preview PDF
Quick Preview PDF
Publication Date
Tue Dec 05 2023
Journal Name
Baghdad Science Journal
Further Results on (a, d) -total Edge Irregularity Strength of Graphs
...Show More Authors

Consider a simple graph   on vertices and edges together with a total  labeling . Then ρ is called total edge irregular labeling if there exists a one-to-one correspondence, say  defined by  for all  where  Also, the value  is said to be the edge weight of . The total edge irregularity strength of the graph G is indicated by  and is the least  for which G admits   edge irregular h-labeling.  In this article,   for some common graph families are examined. In addition, an open problem is solved affirmatively.

View Publication Preview PDF
Scopus Crossref
Publication Date
Sat Apr 01 2023
Journal Name
Baghdad Science Journal
Detour Polynomials of Generalized Vertex Identified of Graphs
...Show More Authors

The Detour distance is one of the most common distance types used in chemistry and computer networks today. Therefore, in this paper, the detour polynomials and detour indices of vertices identified of n-graphs which are connected to themselves and separated from each other with respect to the vertices for n≥3 will be obtained. Also, polynomials detour and detour indices will be found for another graphs which have important applications in Chemistry.

 

View Publication Preview PDF
Scopus Crossref
Publication Date
Thu Sep 30 2021
Journal Name
Iraqi Journal Of Science
Commutativity Results for Multiplicative (Generalized) (α,β) Reverse Derivations on Prime Rings
...Show More Authors

Let  be a prime ring,  be a non-zero ideal of  and   be automorphism on. A mapping  is called a multiplicative (generalized)  reverse derivation if  where  is any map (not necessarily additive). In this paper, we proved the commutativity of a prime ring R admitting a multiplicative (generalized)  reverse derivation  satisfying any one of the properties:

 

 

 for all x, y  

View Publication Preview PDF
Scopus (2)
Crossref (1)
Scopus Crossref
Publication Date
Thu Apr 20 2023
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
Some Results on the Divisible Hyperrings
...Show More Authors

A class of hyperrings known as divisible hyperrings will be studied in this paper. It will be presented as each element in this hyperring is a divisible element. Also shows the relationship between the Jacobsen Radical, and the set of invertible elements and gets some results, and linked these results with the divisible hyperring. After going through the concept of divisible hypermodule that presented 2017, later in 2022, the concept of the divisible hyperring will be related to the concept of division hyperring, where each division hyperring is divisible and the converse is achieved under conditions that will be explained in the theorem 3.14. At the end of this paper, it will be clear that the goal of this paper is to study the concept

... Show More
View Publication Preview PDF
Crossref
Publication Date
Sat Jul 31 2021
Journal Name
Iraqi Journal Of Science
On Sandwich Theorems Results for Certain Univalent Functions Defined by Generalized Operators
...Show More Authors

In this present paper, we obtain some differential subordination and superordination results, by using generalized operators for certain subclass of analytic functions in the open unit disk. Also, we derive some sandwich results.

View Publication Preview PDF
Scopus (13)
Crossref (7)
Scopus Crossref
Publication Date
Sat Mar 06 2010
Journal Name
J. Of University Of Anbar For Pure Science
Some Results on Epiform Modules
...Show More Authors

The concept of epiform modules is a dual of the notion of monoform modules. In this work we give some properties of this class of modules. Also, we give conditions under which every hollow (copolyform) module is epiform.

Preview PDF
Publication Date
Sun Dec 07 2008
Journal Name
Baghdad Science Journal
Some Results on Reduced Rings
...Show More Authors

The main purpose of this paper is to study some results concerning reduced ring with another concepts as semiprime ring ,prime ring,essential ideal ,derivations and homomorphism ,we give some results a bout that.

View Publication Preview PDF
Crossref
Publication Date
Tue Feb 13 2024
Journal Name
Iraqi Journal Of Science
The Singularity of Bipartite Graph
...Show More Authors


A graph
is said to be singular if and only if its adjacency matrix is singular. A graph
is said to be bipartite graph if and only if we can write its vertex set as
, and each edge has exactly one end point in
and other end point in
. In this work, we will use graphic permutation to find the determinant of adjacency matrix of bipartite graph. After that, we will determine the conditions that the bipartite graph is singular or non-singular.

View Publication Preview PDF
Publication Date
Sat Feb 26 2022
Journal Name
Iraqi Journal Of Science
Idempotent Divisor Graph of Commutative Ring: Idempotent Divisor Graph
...Show More Authors

     This work aims to introduce and to study a new kind of divisor graph which is  called idempotent divisor graph, and it is  denoted by . Two non-zero distinct vertices v1 and v2 are adjacent if and only if , for some non-unit idempotent element . We establish some fundamental properties of ,  as well as it’s connection with . We also study planarity of this graph.

View Publication Preview PDF
Scopus (3)
Crossref (2)
Scopus Crossref
Publication Date
Sat Mar 01 2008
Journal Name
Ibn Al– Haitham Journal For Pure And Applied Science
Some Results on Fiberewise Topological Spaces
...Show More Authors

In this paper we define and study new concepts of fibrewise topological spaces over B namely, fibrewise closure topological spaces, fibrewise wake topological spaces, fibrewise strong topological spaces over B. Also, we introduce the concepts of fibrewise w-closed (resp., w-coclosed, w-biclosed) and w-open (resp., w-coopen, w-biopen) topological spaces over B; Furthermore we state and prove several Propositions concerning with these concepts.

Preview PDF