Linked from
The 8 pages that link to Commutative diagram, each with the reason it gives.
Category theoryRelated: Diagrams make categorical equations and relationships visible.
Universal propertyRelated: Diagrams make the equations required by universal properties visible.
FunctorRelated: Functoriality makes mapped diagrams preserve equations between composite paths.
MorphismRelated: Commutativity expresses equations between routes built from morphisms.
Snake lemmaNarrower topic: The lemma starts with a commutative diagram whose rows are exact.
Nine lemmaNarrower topic: Commutativity lets maps across rows and columns constrain one another.