Discussion
Which set of nodes shields a variable from all the rest?
Answer: C
Conditioned on its parents, its children and its children's other parents, a node is independent of everything else in the network. The co-parents belong because observing a child creates a dependence between its parents. Ancestors, neighbours and connectivity subsets are different sets. Gibbs sampling resamples a node from exactly this set, so the definition is a working tool and not a curiosity.
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