Ohh, sorry to have missed that information. Consider minimizing the
maximum out-degree.


On May 16, 5:04 pm, "Rajiv Mathews" <[EMAIL PROTECTED]> wrote:
> Could you please explain the question.
>
> Typically in a directed graph we talk of in-degree and out-degree for
> a vertex. So is the question then to minimize the maximum of these in
> all vertices of the graph? If so what operations are permitted?
>
> On 5/16/07, pramod <[EMAIL PROTECTED]> wrote:
>
>
>
>
>
> > Here's a graph problem.
>
> > We are given a directed graph. We are allowed to change the directions
> > of the edges.
> > Our aim is to minimize the maximum degree in the graph.
> > How do we achieve this?
>
> > One way is to take the vertex with maximum degree, and take another
> > vertex with least degree reachable from this max-degree vertex and
> > then reverse all the edges' direction along the path. Now the
> > questions with this approach are (1) how do we prove that this will
> > lead to the optimal-graph in the sense, can we get a graph such that
> > it's maximum degree is the best possible?
> > (2) What's the time complexity, is it bound tightly?
> > (3) Is there any better way?
>
> > Thanks
>
> --
>
> Regards,
> Rajiv Mathews


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