Zero-divisor graphs of Boolean posets are well-covered and Cohen-Macaulay; for products of posets with Z(P_i)={0}, the graph is Cohen-Macaulay exactly when the product is a Boolean lattice.
Villarreal,Cohen-Macaulay Graphs, Manuscripta Math.66(1990), 277 - 293
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Cohen-Macauleyness of the Zero-Divisor Graph of a Boolean Poset
Zero-divisor graphs of Boolean posets are well-covered and Cohen-Macaulay; for products of posets with Z(P_i)={0}, the graph is Cohen-Macaulay exactly when the product is a Boolean lattice.