Interesting algorithm...need insights..



hi all,

Suppose I have a connected graph G(V,E). |V|=n. Every edge in G is
already labelled as either 'A' or 'B'.
I need to devise a polynomial time algorithm which given an integer
'm' ( 1 <= m <= n-1)as input will

either

1) returns a spanning tree with m number of 'A' labelled edges and
(n-1-m) number of 'B' labelled edges.
OR
2) reports correctly that no such tree exists.
Prove that your algorithm works.

I have been trying hard...any ideas or insight is appreciated...

.



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