@article {Mulay2005,
 author="S.B. Mulay",
 title={Rings having zero-divisor graphs of small diameter or large girth},
 journal="Bull. Austral. Math. Soc.",
 fjournal={Bulletin of the Australian Mathematical Society},
 volume="72",
 year="2005",
 number="3",
 pages="481--490",
 issn="0004-9727",
 coden="ALNBAB",
 language="English",
 date="30th August, 2005",
 classmath=" 13A99, 05C99",
 publisher={AMPAI, Australian Mathematical Society},
 url="http://www.austms.org.au/Publ/Bulletin/V72P3/723-5248-Mulay/index.shtml",
 acknowledgement={},
 abstract={ Let $R$ be a commutative ring possessing (non-zero) zero-divisors. There is a natural graph associated to the set of zero-divisors of $R$. In this article we present a characterisation of two types of $R$. Those for which the associated zero-divisor graph has diameter different from $3$ and those $R$ for which the associated zero-divisor graph has girth other than $3$. Thus, in a sense, for a generic non-domain $R$ the associated zero-divisor graph has diameter $3$ as well as girth $3$. }
}