Category:Connected Relations

This category contains results about Connected Relations.

Let $\mathcal R \subseteq S \times S$ be a relation on a set $S$.

Then $\mathcal R$ is connected if and only if:

$\forall a, b \in S: a \ne b \implies \left({a, b}\right) \in \mathcal R \lor \left({b, a}\right) \in \mathcal R$

That is, if and only if every pair of distinct elements is related (either or both ways round).

Subcategories

This category has only the following subcategory.

Pages in category "Connected Relations"

The following 5 pages are in this category, out of 5 total.