Question

Consider the following network: Nodes 1,2,3, and 4 are in the Permanent Set. For which values of X is node 5 the next node to be added to the Permanent Set?

Answer 1

Node 5 will not be the next node to be added to the Permanent Set for any value of X.

Step-by-step explanation:

Node 5 will be the next node to be added to the Permanent Set if and only if there is an edge connecting it to a node in the Permanent Set, but not to any other node in the Remaining Set.

If we examine the given network, we can see that node 5 is connected to nodes 2, 3, and 4. Therefore, node 5 will not be the next node to be added to the Permanent Set for any value of X.