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 th

Suppose a directed network takes the form of a tree with all edges pointing inward towards a central vertex: FIGURE CANT COPY What is the PageRank centrality of the central vertex in terms of the single parameter αappearing in the definition of PageRank and the geodesic distances di from each vertex i to the central vertex? | Numerade