A note on zero-divisor graph of amalgamated duplication of a ring along an ideal

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2017
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Ranked #3 of 11 articles by views in akce international journal of graphs and combinatorics

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Abstract
Let R be a commutative ring and I be a non-zero ideal of R. Let R⋈I be the subring of R×R consisting of the elements (r,r+i) for r∈R and i∈I. In this paper we characterize all isomorphism classes of finite commutative rings R with identity and ideal I such that Γ(R⋈I) is planar. We determine the number of vertices of Γ(R⋈I), a necessary and sufficient condition for the graph Γ(R⋈I) to be outerplanar and the domination number of Γ(R⋈I).
Reference Key
mallika2017aakce Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors A. Mallika, R. Kala
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Journal akce international journal of graphs and combinatorics
Year 2017
DOI
DOI not found
URL
http://www.sciencedirect.com/science/article/pii/S0972860016301888
Keywords
mathematics

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