دوره 12، شماره 1 - ( 1-1396 )
جلد 12 شماره 1 صفحات 106-95 |
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Naghipour A R. On the Zero-divisor Cayley Graph of a Finite Commutative Ring. IJMSI 2017; 12 (1) :95-106
URL: http://ijmsi.ir/article-1-632-fa.html
URL: http://ijmsi.ir/article-1-632-fa.html
On the Zero-divisor Cayley Graph of a Finite Commutative Ring. مجله علوم ریاضی و انفورماتیک. 1396; 12 (1) :95-106
چکیده:
Let R be a fnite commutative ring and N(R) be the set of non unit elements of R. The non unit graph of R, denoted by Gamma(R), is the graph obtained by setting all the elements of N(R) to be the vertices and defning distinct vertices x and y to be adjacent if and only if x - yin N(R). In this paper, the basic properties of Gamma(R) are investigated and some characterization results regarding connectedness, girth and planarity of Gamma(R) are given.
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