Find the class responsible for the current stroke-width your lines. Then insert a rule that is a little more specific and change the value for stroke-width there.
In this example, from the examples nvd3 stroke-width is set as follows:
.nvd3 .nv-groups path.nv-line
So, we create a matching rule, which is somewhat more specific, for example:
.nvd3 g.nv-groups path.nv-line
and attach a new stroke-width value to it:
.nvd3 g.nv-groups path.nv-line { stroke-width: 5px; }
Sirko
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