[PDF] Top 20 When zero divisor graph of some special idealization rings are divisor graphs
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When zero divisor graph of some special idealization rings are divisor graphs
... a graph with the vertex set ( ). The degree of a vertex in a graph is the number of edges incident with ...complete graph of order is denoted by , is a graph with vertices in which any two ... See full document
5
A generalization of zero-divisor graphs
... the zero-divisor graphs of commutative semigroups [17, Theorem ...the graph RG(M ), for any R-module M , is connected and the best upper-bound for diam RG(M ) is 3 if the graph RG(M ) ... See full document
11
Construction of Zero Divisor Graphs of Rings
... on zero divisor graphs. They also introduced a graph for modules that is useful for studying zero divisor graphs of trivial ...the zero-divisor graph ... See full document
6
On zero-divisor graphs of quotient rings and complemented zero-divisor graphs
... the zero-divisor graph of R, denoted by Ī(R), is an undirected simple graph that its vertices are all nonzero zero-divisors of R in which any two vertices x and y are adjacent if and ... See full document
12
$C_4$-free zero-divisor graphs
... vertices a and b if and only if a 6= b and ab = 0. Thus Ī(R) is the empty graph if and only if R is an integral domain. The concept of zero-divisor graphs has been studied extensively by many ... See full document
6
Zero divisor graphs of posets
... of zero divisor graphs over a non-commutative ...non-commutative rings, matrix rings have received special attention in [11, 13, ...about zero divi- sor graphs of ... See full document
13
Energy and Wiener Index of Zero-Divisor Graphs
... a graph was the first reported topological index based on graph distances, see ...the graph. We encourage the reader to see the special issue of MATCH Communications in Mathematical and in ... See full document
7
Properties of extended ideal based zero divisor graph of a commutative ring
... the zero divisor graph of ring and initiated the study of the relation between ring- theoretic properties and graph theoretic ...the zero divisor graphs of commutative ... See full document
5
INDEPENDENCE AND CLIQUE POLYNOMIALS OF ZERO-DIVISOR GRAPH OF THE INTEGER MODULO n (ā¤š)
... a graph is the set of vertices which are not adjacent in a graph while the clique of a graph is the set of vertices in the graph which are adjacent in the ...of zero-divisor ... See full document
17
The k Zero Divisor Hypergraph of a Commutative Ring
... on zero-divisor graphs, the edges are defined to be between the distinct nonzero zero-divisors in order to construct a graph with no ...the graph constructed by ... See full document
15
Several result on SD-prime cordial graphs
... cordial graphs were discussed in [6, 7, 8, 9]. The idea of a graph associated to zero-divisors of a commutative ring was introduced by ...all zero-divisors in R and Z ā (R) = Z(R)\{0}. The ... See full document
7
On the Cozero Divisor Graphs of Commutative Rings
... of zero-divisor graph of a commutative ring was introduced by Beck [1], but this work was mostly concerned with colorings of ...the graph . The zero-divisor graphs of ... See full document
7
Some New Families of Sum Divisor Cordial Graphs
... [3]. Graph labelings have enormous applications within mathematics as well as to several areas of computer science and communication ...various graph labeling problems along with an extensive bibliography ... See full document
5
Aspects of the zero divisor problem
... If P is'a localizable prime ideal of the Noetherian ring R, "Ie shall denote the partial quotient ring of.. above by Rp, and call.[r] ... See full document
179
An square Divisor Cordial Labelling of Graphs
... Square divisor cordial labelling is a variant of cordial labelling and divisor cordial ...the graphs like flower ,bistar ,restricted Square Graph Of Shadow graph of ,as Well as ... See full document
7
A note on the coprime graph of a group
... a zero element then the zero-divisor graph of S is a graph whose vertices are elements of S and two distinct elements x, y are adjacent iļ¬ xy = ... See full document
6
Sum Divisor Cordial Labeling of Herschel Graph
... Swastik graph y fish J n n ( , ) and [8] proved that the Theta graph and some graph operations in Theta graph are sum divisor cordial ...Herschel graph. Our graph ... See full document
8
Star Attached Divisor Cordial Graphs
... A divisor cordial labeling of graph G with vertex set V is bijection from V to {1,2,ā¦ā¦..V(G)} such that if each edge uv is assigned the label 1 if f(u)/ f(v) or f(v)/f(u) and 0 otherwise, then the number of ... See full document
7
A Submodule-Based Zero Divisors Graph for Modules
... a zero divisor graph of a commutative ring was intro- duced by Beck in [3] where he was mainly interested with colorings of ...The zero-divisor graph of a commutative ring is ... See full document
11
Some Star and Bistar Related Divisor Cordial Graphs
... The concept of cordial labeling was introduced by Cahit [8]. This concept is explored by many researchers like Andar et al. [9,10], Vaidya and Dani [11] and Nasreen [12]. Motivated through the concept of cordial labeling ... See full document
11
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