White Box Testing - Basis Coverage

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What does it mean, when you do a white box test :

"cover the edges with a basis, if possible. Otherwise cover the paths with a set of arbitrary test cases".

What I usually do in this kind of exercises is to compute the cyclomatic complexity of my control graph , and then find a number of paths that is the same of my complexity. I wrote the test cases and I finished.

How do I verify if my edges coverage is a basis ?

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