Abstract
Let Γ(Zn ) be the zero-divisor graph whose vertices are the nonzero zero divisors of Zn , and such that two vertices u,υ are adjacent if n divides uυ. Let denotes the fuzzy complete graph on p − 1 vertices and let denote a fuzzy star with p − 1 edges. In this paper, we have analyzed the fuzzy zero divisor graph of Γf (Zp 3) is decomposition into 1-complete and p(p − 1) copies of star graph where p is prime number and p > 2.
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