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Connected graph

Set

$V,E$ … set
$\langle V,E,\psi\rangle \in \mathrm{it}(E,V) $
$\langle V,E,\psi\rangle $ … undirected graph
$ X\cap Y=\emptyset $
$ X\cup Y=V $
$ x\in X $
$ y\in Y $
$ e\in E $
$ \forall X,Y. \exists x,y,e.\ e=\{x,y\} $

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Improvements of the human condition