<｜begin▁of▁sentence｜>### Instruction:
As a podcast host, imagine you are creating an episode to discuss the complexities of network visualization using Python. You want to demonstrate to your audience how to visually represent a directed edge between two vertices in a graph using the `CairoArrowEdgeDrawer.draw_directed_edge` method in the networkx library. Can you explain in simple terms the steps involved in utilizing this method for drawing a directed edge between vertices 0 and 1, and also outline the significance of this approach in network analysis?
### Response:
import igraph as ig
from igraph.drawing import Plot

# Create an example graph
g = ig.Graph(edges=[(0, 1), (1, 2)], directed=True)

# Initialize a Plot object
plot = Plot(bbox=(300, 300), background='white')

# Add the graph to the plot with default style
plot.add(g)

# Retrieve the CairoArrowEdgeDrawer for this plot
context = plot.context
drawer = ig.CairoArrowEdgeDrawer(context)
edge = g.es[0]
src_vertex = g.vs[edge.source]
dest_vertex = g.vs[edge.target]

# Draw a directed edge using the drawer
# Note: This is typically an internal step during the plotting process
# and should be handled by the plot itself; manual override might be needed for custom behavior
drawer.draw_directed_edge(edge, src_vertex, dest_vertex)

# Save the plot
default_filename = 'graph_directed_edge.pdf'
plot.save(default_filename)
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