<｜begin▁of▁sentence｜>### Instruction:
Given a tree graph with 7 vertices where each non-leaf vertex has 2 children, can you calculate the community structure using the edge betweenness community detection method, create a dendrogram, and then plot the vertex dendrogram?
### Response:
import igraph as ig

# Create a simple graph
g = ig.Graph.Tree(7, 2)

# Calculate the community structure using the edge betweenness
# community detection method and create a dendrogram
community_struct = g.community_edge_betweenness()
dendrogram = community_struct.as_clustering()

# Create a VertexDendrogram from the dendrogram
vertex_dendrogram = ig.VertexDendrogram(g, dendrogram)

# Plot the VertexDendrogram
ig.plot(vertex_dendrogram)
<|EOT|>
