Consider the following directed network.
![](https://test.transtutors.com/qimg/e6d30530-9da7-4e29-9104-969d10aca411.png)
(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
![](https://test.transtutors.com/qimg/8e57fe2e-3328-45a1-a28f-05572589eda3.png)