<｜begin▁of▁sentence｜>### Instruction:
Given a graph with 4 vertices connected sequentially by edges (e.g., a path graph or chain graph), create a hierarchical clustering dendrogram representing a given merge history. The merge history is in tuple format with each tuple representing a merge step between clusters. In this example, the clusters are represented by integers corresponding to the original vertices of the graph.
### Response:
from igraph import Graph
from igraph.drawing.text import TextDrawer
import matplotlib.pyplot as plt

# Create a graph with some_edges
edges = [(0, 1), (1, 2), (2, 3)]
g = Graph(edges)

# Hierarchical clustering using some method
# For the purpose of illustration, let's say the result of the clustering is
# the following merges, where each tuple represents a merge step
merges = [(0, 1), (1, 2), (3, 4), (5, 6), (2, 3)]

# Create the dendrogram
from igraph import Dendrogram

# Convert merge history into a format that Dendrogram can understand
# Note: In a real-world scenario, this would be the output of a clustering algorithm
vertex_count = g.vcount()
merge_matrix = [[0]*2]*(vertex_count-1) 
for i, merge in enumerate(merges):
    merge_matrix[i] = list(merge)

dendrogram = Dendrogram(merges=merge_matrix, n=vertex_count)

# Plot the dendrogram
layout = dendrogram.layout()

# Set up plotting context
ig.plot(dendrogram, layout=layout)
<|EOT|>
