Problem 1080

Determine whether the following statement makes sense or does not make sense, and explain your reasoning.


Starting from my home, I need to go to the post office, the bank, the medical clinic, and the dry cleaners. Because my goal is to run errands and return home using the shortest route, I need to determine the minimum spanning tree.




The statement does not make sense, because a route that visits every vertex once and returns to the starting point is a Hamilton circuit.

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