<｜begin▁of▁sentence｜>### Instruction:
Given a graph with the edge set [(0, 1), (1, 2), (2, 0), (1, 3)], can you use the maximum_cardinality_search function to determine the rank of each vertex and check if the graph is chordal?
### Response:
import igraph as ig

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

# Perform a maximum cardinality search on the graph
ranks, alpha_inv = g.maximum_cardinality_search()

# Output the ranks
print('Vertex ranks:', ranks)

# Determine if the graph is chordal
is_chordal_graph = g.is_chordal(alpha=None, alpha_inv=alpha_inv)
print('Is chordal:', is_chordal_graph)
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