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## Homework Statement

Prove that if a graph has > (n-1)(n-2) /2 edges, it is connected.

## Homework Equations

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## The Attempt at a Solution

I've drawn several examples and made tables, and I can see that the graph is indeed connected if it has more edges than [(n-1)(n-2)]/2. But what I cannot do so far is prove it. How can I start doing this proof?

Thanks