<｜begin▁of▁sentence｜>### Instruction:
Given a graph with edge set [(0, 1), (1, 2), (2, 3), (3, 4), (0, 4), (1, 3)], can you use the maximum_cardinality_search function to compute a rank alpha for each vertex and determine the order in which vertices should be visited?
### Response:
from igraph import Graph

# Define your graph
edges = [(0, 1), (1, 2), (2, 3), (3, 4), (0, 4), (1, 3)]
g = Graph(edges)

# Conduct a maximum cardinality search
card_search_res = g.maximum_cardinality_search()
alpha, vertex_order = card_search_res

print('Alpha ranks:', alpha)
print('Vertex visit order:', vertex_order)
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