Domination in Generalized Cayley Graph of Commutative Rings
نویسندگان
چکیده
منابع مشابه
Exact annihilating-ideal graph of commutative rings
The rings considered in this article are commutative rings with identity $1neq 0$. The aim of this article is to define and study the exact annihilating-ideal graph of commutative rings. We discuss the interplay between the ring-theoretic properties of a ring and graph-theoretic properties of exact annihilating-ideal graph of the ring.
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متن کاملDomination Number in the Annihilating-ideal Graphs of Commutative Rings
Let R be a commutative ring with identity and A(R) be the set of ideals with nonzero annihilator. The annihilating-ideal graph of R is defined as the graph AG(R) with the vertex set A(R) = A(R)r {0} and two distinct vertices I and J are adjacent if and only if IJ = 0. In this paper, we study the domination number of AG(R) and some connections between the domination numbers of annihilating-ideal...
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ژورنال
عنوان ژورنال: Journal of Mathematical Study
سال: 2021
ISSN: 2096-9856,2617-8702
DOI: 10.4208/jms.v54n4.21.07