-How much longer is the total arc length in the current network than twice the total arc length of the minimal spanning tree?
A) 5
B) 10
C) 15
D) 20

Question

-How much longer is the total arc length in the current network than twice the total arc length of the minimal spanning tree?
A) 5 
B) 10 
C) 15 
D) 20

Quizplus · Accepted Answer

The total arc length of the minimal spanning tree represents the shortest path to connect all nodes in a network without any cycles. Doubling this length gives a baseline for comparison. The total arc length in the current network includes all paths, not just the minimal ones, so it's naturally longer. The difference between twice the total arc length of the minimal spanning tree and the total arc length of the current network is 15, indicating additional paths or longer alternatives in the current network configuration.

-How Much Longer Is the Total Arc Length in the Current