<｜begin▁of▁sentence｜>### Instruction:
Given a directed graph with edge set [("A", "B", 2), ("B", "C", 3), ("C", "D", 4), ("D", "A", 5)], and the need to order the nodes as ['A', 'B', 'C', 'D'], can you compute the directed combinatorial Laplacian matrix using the pagerank walk_type and an alpha value of 0.85?
### Response:
import networkx as nx

# Create a directed graph
G = nx.DiGraph()

# Add edges with weights
G.add_weighted_edges_from([("A", "B", 2), ("B", "C", 3), ("C", "D", 4), ("D", "A", 5)])

# Compute the directed combinatorial Laplacian matrix
laplacian_matrix = nx.directed_combinatorial_laplacian_matrix(G, nodelist=['A', 'B', 'C', 'D'], weight='weight', walk_type='pagerank', alpha=0.85)

print(laplacian_matrix)
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