The diagonal relation on a set 
is the binary relation
It relates each element of 
only to itself and is therefore the equality relation on 
. In a coherent configuration,
the diagonal relation is a union of its basis
relations; it is one basis relation iff
the coherent configuration is homogeneous
(Higman 1975).
See also
Basis Relation,
Binary Relation,
Coherent Configuration,
Homogeneous Coherent Configuration
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References
Higman, D. G. "Coherent Configurations. I. Ordinary
Representation Theory." Geom. Dedicata 4, 1-32, 1975. https://doi.org/10.1007/BF00147398.
Cite this as:
Weisstein, Eric W. "Diagonal Relation."
From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/DiagonalRelation.html
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