A relation on a set is symmetric provided that for every and in we have iff . The symmetric relations on nodes are isomorphic with the rooted graphs on nodes.
Symmetric Relation
See also
Relation, Rooted GraphExplore with Wolfram|Alpha
Cite this as:
Weisstein, Eric W. "Symmetric Relation." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/SymmetricRelation.html