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