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Consider the following directed network.

(a) Find a directed path from node A to node F, and then identify three other undirected paths from node A to node F.

(b) Find three directed cycles. Then identify an undirected cycle that includes every node.

(c) Identify a set of arcs that forms a spanning tree.

(d) Use the process illustrated in Fig. 9.3 to grow a tree one arc at a time until a spanning tree has been formed. Then repeat this process to obtain another spanning tree. [Do not duplicate the spanning tree identified in part (c).]

Fig. 9.3

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