Zero-Divisor Graph
Properties of extended ideal based zero divisor graph of a commutative ring
... The zero divisor graph of a ring R, denoted by Ξ(R), is the simple graph associated to R such that its vertex set consists of all its nonzero divisors and that two distinct vertices are joined ...
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INDEPENDENCE AND CLIQUE POLYNOMIALS OF ZERO-DIVISOR GRAPH OF THE INTEGER MODULO n (β€π)
... the zero-divisor graph of integers modulo n and used the concept put forward by Hoede and Li [1] to compute the independence polynomial and clique polynomial of the graphs ...conjugate graph ...
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When zero divisor graph of some special idealization rings are divisor graphs
... a divisor graph is a divisor graph (proposition ...are divisor graphs (proposition 4. A graph is a divisor graph if and only if there is an orientation transitive ...
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A Submodule-Based Zero Divisors Graph for Modules
... In the second section, we define a submodule-based zero divisor graph for a module and we study basic properties of this graph. In the third section, if M is a finitely generated semisimple ...
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On zero-divisor graphs of quotient rings and complemented zero-divisor graphs
... the zero-divisor graph of R, denoted by Ξ(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 ...
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A generalization of zero-divisor graphs
... 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 perspectives and ...
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Construction of Zero Divisor Graphs of Rings
... The zero-divisor graph was first introduced by Beck (1988)[1] in the study of commutative ...the graph whose vertex set is π
, such that distinct vertices π and π are adjacent provided that ππ ...
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Several result on SD-prime cordial graphs
... a graph associated to zero-divisors of a commutative ring was introduced by ...all zero-divisors in R and Z β (R) = Z(R)\{0}. The zero-divisor graph of R is the simple undirected ...
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Zero divisor graphs of posets
... In the ο¬rst Chapter, we relate lattice properties of a distributive lat- tice L with graph properties of the corresponding zero divisor graph, G { 0 } (L). Cycles in G { 0 } (L) are ...
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On the Line Graph of the Complement Graph for the Ring of Gaussian Integers Modulo n
... line graph L G ο¨ ο© of a graph G is defined to be the graph whose vertex set constitutes of the edges of G , Where two vertices are adjacent if the corresponding edges have a common vertex in G ...
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Exact annihilating-ideal graph of commutative rings
... exact zero-divisor graph of commutative rings studied in [5] and [6], we define exact annihilating-ideal graph EAG(R) of a commutative ring R to be an undirected graph whose vertex set ...
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On the genus of the annhilator graph of a commutative ring
... Many research articles have appeared on the genus of zero divisor graphs of commutative rings. In particular, there are many papers [1, 2, 9, 15, 24], where the planarity of zero-divisor ...
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The k Zero Divisor Hypergraph of a Commutative Ring
... the zero-divisor graph of a commutative ring has been studied by many authors, and the k-zero-divisor hypergraph of a commutative ring is a nice abstraction of this ...with ...
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On a Graph Induced by a Hyper BCI-algebra
... studied graph theory to build connections with certain algebraic structures such as commutative semigroups, commutative rings, and non-commutative ...its zero divisor graph G(R) whose vertices ...
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Vol 9, No 2 (2018)
... A graph G is said to be sum cordial graph if it has a sum cordial ...a graph associated to zero-divisors of a commutative ring was introduced by ...the zero-divisor graph ...
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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 commuta- ...
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A NOTE ON LINE GRAPHS
... A graph that does not have self-loop or parallel edges is called a simple ...of zero divisor graph is given in Beck ...the zero divisor graphs of Z n where n is a positive ...
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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 iο¬ xy = ...
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Some properties of the nilradical and non-nilradical graphs over finite commutative ring \(\mathbb{Z}_n\)
... of zero-divisor graph was introduced by ...of zero-divisor graph given by ...of zero-divisors. We associate a simple graph Ξ(R) to R with vertices Z (R) β = Z (R) β ...
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Further Results on Vertex Odd Divisor Cordial Labeling of Some Graphs
... odd divisor cordial labeling is a variation of cordial ...study graph or families of graph which are vertex odd divisor cordial as all the graphs do not admit vertex odd divisor cordial ...
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