AND rule for nodewise graph selection ($\{j,k\}\in \hat{E}⟺{\hat{\theta }}_{jk}\ne 0\text{ and }{\hat{\theta }}_{kj}\ne 0$)

The intersection rule retains an edge only when both directions of nodewise regression select it. It is more conservative than the OR rule for nodewise graph selection; the distinction matters because separate finite-sample fits can disagree.