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$$ is the cheapest edge in G; that is$,$ c$($e$$

$)<$ c$($e$)$ for every