On the Zero-divisor Cayley Graph of a Finite Commutative Ring
نویسنده
چکیده مقاله:
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.
منابع مشابه
on the zero-divisor cayley graph of a finite commutative ring
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 co...
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عنوان ژورنال
دوره 12 شماره None
صفحات 95- 106
تاریخ انتشار 2017-04
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