Symmetric Relation (original) (raw)

TOPICS

Algebra Applied Mathematics Calculus and Analysis Discrete Mathematics Foundations of Mathematics Geometry History and Terminology Number Theory Probability and Statistics Recreational Mathematics Topology

Alphabetical Index New in MathWorld

• Foundations of Mathematics
• Set Theory
• Relations

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.

See also

Relation, Rooted Graph

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Cite this as:

Weisstein, Eric W. "Symmetric Relation." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/SymmetricRelation.html

Subject classifications

• Foundations of Mathematics
• Set Theory
• Relations