<｜begin▁of▁sentence｜>### Instruction:
Given a graph with hierarchical structure, can you use CairoDendrogramDrawer to visualize the dendrogram of a graph's community structure using the edge betweenness clustering method?
### Response:
from igraph import Graph
from igraph.drawing import Plot
from igraph.drawing.colors import ClusterColoringPalette
import cairo

# Create a simple graph
g = Graph.Tree(127, 2)

# Create the dendrogram
dendrogram = g.community_edge_betweenness().as_clustering()

# Create a plot
plot = Plot(bbox=(600, 600), background='white')

# Create a ClusterColoringPalette for coloring
palette = ClusterColoringPalette(len(dendrogram))

# Set up a Cairo context
context = cairo.Context(plot.surface)

# Create a CairoDendrogramDrawer
drawer = dendrogram.get_drawer()

# Optionally, modify drawer properties here, e.g., drawer.palette = palette
# Set the drawing bbox using the property
drawer.bbox = (600, 600)

# Draw the dendrogram
drawer.draw(dendrogram, palette=palette)

# Save the plot to a file
plot.save('dendrogram.png')
<|EOT|>
