$$\frac{n}{3}$$ n 3 -neighbourly moment-angle complexes and their unstable splittings

Given an \(\frac{n}{3}\)-neighbourly simplicial complex K on vertex set [n], we show that the moment-angle complex \(\mathcal Z_K\) is a co-H-space if and only if K satisfies a homotopy analogue of the Golod property. This gives a sufficient condition for the integral formality of \(\mathcal Z_K\).