Cohen-Macauleyness of the Zero-Divisor Graph of a Boolean Poset

P. Waghmare, V. Joshi

In this paper, we prove that the zero-divisor graph $\hat{I}“(P)$ of a Boolean poset $P$ is both well-covered and Cohen--Macaulay. Furthermore, for a poset $\mathbf{P} = \prod_{i=1}^{n}…