Google for connected components... you'll probably land up some method
using disjoint set structures and depth-first search...

On 10/16/07, Muntasir Azam Khan <[EMAIL PROTECTED]> wrote:
>
>
>
> On Oct 14, 10:18 am, Legend <[EMAIL PROTECTED]> wrote:
> > Suppose that I have some data:
> >
> > 12,30
> > 12,45
> > 2,3
> > 7,8
> > 3,9
> > 30, 8
> > 45,54
> > 56,65
> >
> > Where (a,b) indicates that a is connected to b. I want to get all
> > connected nodes to one point. For instance, the output of the above
> > example should be something like:
> >
> > Group 1
> > 2,3
> > 3,9
> > Group 2
> > 12,30
> > 12,45
> > 30,8
> > 7,8
> > Group 3
> > 45,54
> > Group 4
> > 56,65
> >
> > The order is not important as long as the whole group stays together.
> > Reason why they are grouped like that:
> >
> > 1. 2 is connected to 3 and 3 is connected to 9 and so we put all the
> > three, i.e. 2,3,9 into one group.
> > 2. 12 is connected to 45 and 12 is also connected to 30 so we put
> > these in the same group but 30 is connected to 8 and 8 is connected to
> > 7 so ultimately we put all these into the same group.
> > 3. 45 and 54 are connected but not related to any other numbers so we
> > put them into another group
> > 4. 56 and 65 are connected but not related to any other numbers so we
> > put them into another group
> >
> > I am unable to figure out an algorithm for this. Can someone guide me?
>
> It seems to me that you are looking for all maximally connected
> subgraphs of a graph. Flood fill should be the easiest/fastest way to
> solve this one.
>
> Hope this helps,
> Muntasir
>
>
> >
>

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