As Damiano Jack Lee mentions, the related quantity $|E|-|V|+1$ (your number plus 1) |V|-|E|$ is often called the Euler characteristic of the graph. I have also heard $|E|-|V|+1$ called the cyclomatic number.
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As Damiano mentions, $|E|-|V|+1$ (your number plus 1) is often called the Euler characteristic of the graph. I have also heard $|E|-|V|+1$ called the cyclomatic number. |
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