You can find some of the answers in this paper
http://arxiv.org/pdf/cs/0503023

Some of the results given are:
 - A linear-time algorithm to  solve the problem with positive weights
 - A proof of NP-Completeness when negative weights are allowed


On Jan 29, 2:09 pm, Debajit Adhikary <[EMAIL PROTECTED]> wrote:
> > On Jan 29, 2008 3:07 PM, Debajit Adhikary <[EMAIL PROTECTED]> wrote:
>
> > > Lets say I have a weighted tree (with positive, zero and negative
> > > weights for each node).
> > > How could I best find the subtree having the maximum weight?
>
> On Jan 29, 3:55 am, "Yingjie Xu" <[EMAIL PROTECTED]> wrote:
>
> > A rooted tree or a general tree?
>
> It is a rooted weighted tree, where each node is assigned a weight
> which can be positive, zero or negative.
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