what do you mean by single tree?

if edge weights are repeated then we may have more than one MST that corresponds to minimum weight , doesn't matter which algorithm you're following.

if by single tree , you mean only One MST then statement is false.

if edge weights are repeated then we may have more than one MST that corresponds to minimum weight , doesn't matter which algorithm you're following.

if by single tree , you mean only One MST then statement is false.