Markov Blanket

Each node is conditionally independent of all others given its Markov blanket $B(x)$: parents + children + children’s parents

Formally if $V$ is the set of all variables, let $R=V\{B(X)\cup X\}$ be the remaining nodes then $X\perp R|B(X)$ .

$$X\perp \perp R|B(X)$$