Decide whether you think the following statement is true or false. If it is true, give a s...
Decide whether you think the following statement is true or false. If it is true, give a short explanation. If it is false, give a counterexample.
Let G be an arbitrary connected, undirected graph with a distinct cost c(e) on every edge e. Suppose e* is the cheapest edge in G; that is, c(e*)*. Then there is a minimum spanning tree T ofG that contains the edge e*.
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