On May 15, 12:07 am, pramod <[EMAIL PROTECTED]> wrote:
> Geoff,
>
> How did you arrive at the V(V+1)/2 figure?
>

V nodes in the graph, so V trees consisting of a single node.

Then since the graph is given as connected, there must be a least
one path between each pair of nodes. Even if there is more than
one the shortest path must qualify as a tree. Node order doesn't
matter,
so V*(V-1)/2 is the count of those pairs.

Given the conditions for the subgraphs, it's always possible to create
a graph that limits the size of all the acceptable subgraphs to less
than
three nodes.

So sum the two terms and reduce

----
Geoff

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