<｜begin▁of▁sentence｜>### Instruction:
Given a famous social network graph called 'Zachary's Karate Club', can you use the Davidson-Harel layout algorithm in igraph to position the vertices on a 2D plane for visualization purposes?
### Response:
import igraph as ig
import json

# Create an example graph
g = ig.Graph.Famous('Zachary')

# Apply the Davidson-Harel layout algorithm to the graph
layout = g.layout_davidson_harel()

# Plot the graph using the calculated layout
ig.plot(g, layout=layout, vertex_label=g.vs['name'])
<|EOT|>
