A commutative relation in a semantic network is one which is symmetric. That is, for any relation R, if xRy is true, then yRx is also true. For example, if Frank is married to Hilda, then Hilda is also married to Frank.
an operation * is commutative if a * b = b * a. Addition and multiplication are commutative where 2 + 3 = 3 + 2 and 2 × 3 = 3 × 2. Subtraction and division are not commutative.