\begin{definition}[Definition:Minimum Degree]
Let $G = \left({V, E}\right)$ be a graph.
Then the '''minimum degree''' of $G$ is:
: $\delta\left({G}\right) = \min\left\{{\deg_G\left({v}\right) : v \in V}\right\}$
That is, it is the minimum degree of all the vertices of $G$.
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\end{definition}