Given the directed graph shown in Figure 6.14: Figure 6.14 (a) Give the adjacency matrix, A, for this graph. (b) Calculate the transpose of the adjacency matrix, AT. (c) Calculate the document...

Given the directed graph shown in Figure 6.14:

Figure 6.14

(a) Give the adjacency matrix, A, for this graph.

(b) Calculate the transpose of the adjacency matrix, AT.

(c) Calculate the document correlation matrix, AAT.

(d) Calculate the term correlation matrix, ATA.

(e) Calculate the maximum indegree of the graph.

(f) Calculate the maximum outdegree of the graph.

(g) Calculate the valid range for the decay factor γ in the Neumann Kernel.

(h) Verify your results using the igraph package. List the R commands used.