<｜begin▁of▁sentence｜>### Instruction:
As a geologist studying the Earth's structure and processes, you are investigating the interconnectedness of rock formations to understand their underlying patterns. Using the concept of maximum cardinality search, you want to determine if rock formations in a specific area exhibit chordal properties and identify the rankings of these formations based on their interconnections. The graph represents the relationships between 10 different types of rock formations, and each potential rocky connection has a probability of 0.5 of being present. Can you provide insights into the chordal nature of these formations and the ranks of the different types based on their interrelatedness?
### Response:
from igraph import Graph

# Create an undirected graph
g = Graph.Erdos_Renyi(n=10, p=0.5)

# Perform maximum cardinality search
rank, alpha = g.maximum_cardinality_search()

# Check if the graph is chordal using the results from maximum cardinality search
is_chordal = g.is_chordal(ranks=alpha)

# Print the results
print('Rank:', rank)
print('Alpha:', alpha)
print('Is the graph chordal?', is_chordal)
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