<｜begin▁of▁sentence｜>### Instruction:
Given a graph with the edge set [(0, 1), (2, 3), (1, 4), (3, 5)], use the .Biadjacency() function in igraph to generate the bi-adjacency matrix and convert it to a JSON format.
### Response:
import igraph as ig
import json

# Create a new graph with 10 vertices and some edges
g = ig.Graph(edges=[(0, 1), (2, 3), (1, 4), (3, 5)])

# Although .Incidence() is deprecated, you can still use .Biadjacency()
b_matrix = g.Biadjacency()

# Typically, you'd convert this matrix to an appropriate JSON structure
b_matrix_json = json.dumps(b_matrix.tolist())
print(b_matrix_json)
<|EOT|>
