Following the formula: Pn on n+1 vertices {v0, v1, v2, …, vn}
With n>2 edges as vertices we know that the component is not a tree. At the same time we know it must contain a cycle. Therefore the size of the vertices is not possible to exceed 2n, and the degree of any vertex in any sub-graph has a minimal value of vn.
Therefore the maxim is 2n and the minimum is vn.
