Cycle . graph theory
Set
| context | $V,E$ … set |
| definiendum | $\langle V,E,\psi\rangle \in \mathrm{it}(E,V) $ |
| inclusion | $ \langle V,E,\psi\rangle $ … path |
| postulate | $ |V|\ge 3 $ |
| range | $ u,v\in V $ |
| range | $ a$ … sequence in $V,\ \forall i.\ a_{i+|V|}=a_i $ |
| range | $ i\in\mathbb N$ |
| postulate | $ \exists a.\ \forall u,v.\ (\exists i.\ \{a_{i},a_{i+1}\}=\{u,v\}) \leftrightarrow (\{u,v\}\dots\mathrm{edge}) $ |
Discussion
A path is a graph which can fully be described by a repeating sequence of vertices.