<｜begin▁of▁sentence｜>### Instruction:
As a network administrator responsible for maintaining computer networks, you need to convert a given tree graph into a Prüfer sequence using the `to_prufer` function in order to optimize network routing and ensure efficient data transmission across the network. The tree graph has the following edge set: [(0, 1), (1, 2), (1, 3), (1, 4), (4, 5), (4, 6)]. Can you provide a Prüfer sequence for this tree graph using the designated function?
### Response:
from igraph import Graph

# Define edges to create a tree structure
edges = [(0, 1), (1, 2), (1, 3), (1, 4), (4, 5), (4, 6)]

# Create the graph with the defined edges
graph = Graph(edges=edges)

# Ensure the graph is a tree
if graph.is_tree():
    # Convert the tree graph into a Prüfer sequence
    prufer_sequence = graph.to_prufer()
    print('Prüfer sequence:', prufer_sequence)
else:
    print('The graph is not a tree and cannot be converted into a Prüfer sequence.')
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