This network has been targeted for the innovative new "Redundancy Elimination" program that offers a compromise between two competing factions

The plan is to remove paths one at a time until all of the nodes are interconnected without any loops in the network while minimizing the sum of all of the path lengths. Which of these paths is part of the new network?
A) 3-6
B) 1-3
C) 1-2
D) 2-5

Answer: B