Thus, symmetric relations and undirected graphs are combinatorially equivalent objects.
2.
The third is true because orthogonality is a symmetric relation.
3.
In particular, \ sim is a symmetric relation:
4.
As a simple example, the divisibility order on the natural numbers is an anti-symmetric relation.
5.
This can be extended to a symmetric relation by defining if and only if and for some strings with.
6.
People from small power distance cultures value equal power distributions, symmetric relations, and rewards and sanctions based on performance.
7.
A relation equal to its inverse is a symmetric relation; in the language of dagger categories, it is self-adjoint.
8.
However, as the truth of Heinz's theorem and the falsity of the Schoen Yau conjecture demonstrate, \ propto is not a symmetric relation:
9.
Another dichotomy theorem for constraint languages is the Hell-Nesetril theorem, which shows a dichotomy for problems on binary constraints with a single fixed symmetric relation.
10.
One way to conceptualize a symmetric relation in graph theory is that a symmetric relation is an edge, with the edge's two vertices being the two entities so related.
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