On the diameter and girth of zero-divisor graphs of posets
In this paper, we deal with zero-divisor graphs of posets. We prove that the diameter of such a graph is either 1, 2 or 3 while its girth is either 3, 4 or ? ? . We also characterize zero-divisor graphs of posets in terms of their diameter and girth.
diameter girth zero-divisor graph of a poset connected graph