When zero-divisor graphs are divisor graphs
نویسندگان
چکیده
منابع مشابه
$C_4$-free zero-divisor graphs
In this paper we give a characterization for all commutative rings with $1$ whose zero-divisor graphs are $C_4$-free.
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In 1988, Beck [10] introduced the notion of coloring of a commutative ring R. Let G be a simple graph whose vertices are the elements of R and two vertices x and y are adjacent if xy = 0. The graph G is known as the zero divisor graph of R. He conjectured that, the chromatic number χ(G) of G is same as the clique number ω(G) of G. In 1993, Anderson and Naseer [1] gave an example of a commutativ...
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ژورنال
عنوان ژورنال: TURKISH JOURNAL OF MATHEMATICS
سال: 2017
ISSN: 1300-0098,1303-6149
DOI: 10.3906/mat-1601-102