On the diameter and girth of zero-divisor graphs of inverse semigroups

Yanhui Wang, Xinyi Zhu, Pei Gao

Let $S$ be an inverse semigroup with zero and let $Z(S{)}^{\times }$ be its set of non-zero divisors with respect to the natural partial order $\le$ on $S$, that is, $a \in Z(S)^\times…