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.

Parents

Subset of

Path . graph theory, Finite undirected graph