<｜begin▁of▁sentence｜>### Instruction:
Consider a directed graph with the edges set as [(0, 1), (1, 2), (2, 3), (3, 4)]. Is this graph a branching? Now remove the edge from node 2 to node 3 and add an edge from node 3 to node 1. With this modification, is the graph still a branching?
### Response:
import networkx as nx

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

# Add edges to the graph
G.add_edges_from([(0, 1), (1, 2), (2, 3), (3, 4)])

# Check if the graph is a branching
is_branching_graph = nx.is_branching(G)
print(f'Is the graph a branching? {is_branching_graph}')

# Modify the graph to violate the branching condition
G.remove_edge(2, 3)
G.add_edge(3, 1)  # Now maximum in-degree is 2

# Check again if the graph is a branching
is_branching_graph = nx.is_branching(G)
print(f'Is the modified graph a branching? {is_branching_graph}')
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