Recall from comment 14 that the cost for transporting fluid through a pipe \\(e\\) is \\(w(e)^\alpha \cdot L(e)\\), where \\(L\\) is its length and \\(w(e)\\) is the flow rate through the pipe.

And the parameter \\(\alpha\\) was stipulated to be between 0 and 1.

And the parameter \\(\alpha\\) was stipulated to be between 0 and 1.