ON THE GENUS OF THE CAYLEY GRAPH OF A COMMUTATIVE RING
Journal Title: Discussiones Mathematicae - General Algebra and Applications - Year 2016, Vol 36, Issue 2
Abstract
Let R be a commutative ring with non-zero identity and let Z(R) be the set of all zero-divisors. The Cayley graph CAY(R) of R is the simple undirected graph whose vertices are elements of R and two distinct vertices x and y are joined by an edge if and only if x − y ∈ Z(R). In this paper, we determine all isomorphism classes of finite commutative rings with identity whose CAY(R) has genus one.
Authors and Affiliations
S. Kavitha, R. Kala
Keywords
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