[PDF] Top 20 Construction of Zero Divisor Graphs of Rings

... on zero divisor graphs on commutative ...of zero divisor graph are the non-zero zero-divisor of the ...of zero- divisor of 𝑅 and Z* 𝑅 = 𝑍 𝑅 − 0 , then ... See full document

... the zero-divisor graph of R, denoted by Γ(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 only if either ... See full document

... 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

... of zero-divisor graph of a commutative ring was introduced by Beck [1], but this work was mostly concerned with colorings of ...The zero-divisor graphs of commuta- tive rings ... See full document

... the zero-divisor graph of a ring in his 1988 paper ...of zero-divisor graphs ...with zero by DeMeyer et ...the zero-divisor graphs from different ... See full document

... of zero-divisor graphs of the integers modulo ...the zero-divisor graphs of five commutative rings; ℤ 10 , ℤ 12 , ℤ 14 , ℤ 15 , ℤ 16 , ... See full document

... cordial graphs were discussed in [6, 7, 8, ...to zero-divisors of a commutative ring was introduced by ...all zero-divisors in R and Z ∗ (R) = Z(R)\{0}. The zero-divisor graph of R is ... See full document

... the rings of 3-zero-divisor ...commutative rings A and B which are not fields, then Γ(A) ∼ = Γ(B) as graphs if and only if A ∼ = B as ... See full document

... a divisor graph is a divisor graph (proposition 3. Complete graphs and bipartite graphs are divisor graphs (proposition ...a divisor graph if and only if there is an ... See full document

... A divisor cordial labeling of a graph G is a bijection f from V (G) to {1, 2, ...a divisor cordial labeling is called a divisor cordial ...are divisor cordial ... See full document

... By a graph, we mean a finite, undirected graph without loops and multiple edges, for terms not defined here, we refer to Harary [4]. For standard terminology and notations related to number theory we refer to Burton [2] ... See full document

... The divisor cordial labelling is a variant of cordial ...are divisor cordial as all the graphs do not admit divisor cordial ...the divisor cordial labelling of some standard ... See full document

... A divisor cordial labeling of graph G with vertex set V is bijection from V to {1,2,……..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 edges ... See full document

... of graphs subject to certain condition gave raise to enormous work which listed by ...Cube Divisor Cordial Graph were introduced by ...Cube Divisor Cordial Labeling if | (0) − (1)| ≤ ...some ... See full document

... odd divisor cordial labeling is a variation of cordial ...odd divisor cordial as all the graphs do not admit vertex odd divisor cordial ...the graphs ≺ F n ▲ F n ≻ , Theta graph, ... See full document

... of divisor cordial labeling of graph. The divisor cordial labeling of various types of graph are presented in [5-8, ...odd divisor cordial labeling of ... See full document

... a divisor cordial labeling is called a divisor cordial ...splitting graphs of star K 1,n and bistar B n n , are divisor cordial ...admit divisor cordial labeling ... See full document

... Many authors have studied exchange rings with primitive factors artinian. Fisher and Snider proved that every regular ring with primitive factors artinian is unit- regular (see [6, Theorem 6.10]). Moreover, Menal ... See full document

... Istvan Beck first introduce the concept of relating a commutative ring to a graph. This paper forms a new bridge between graph theory and the algebraic concept of ring R. Here R denote a commutative ring with identity. ... See full document

... of divisor cordial labeling of graphs. The concept of sum divisor cordial labeling was introduced by Lourdusamy et ...sum divisor cordial ... See full document