<｜begin▁of▁sentence｜>### Instruction:
As a lepidopterist studying butterflies and moths, imagine you have captured a group of butterflies in a specific forest area and have collected data on their interactions. With this data, you want to analyze the average degree of connectivity for each butterfly in the network and understand how the average degree of connectivity changes as a function of each butterfly's degree. Using the `networkx` package in Python, you can calculate this using the `average_neighbor_degree` function to analyze the social connectivity and behavior of the butterflies based on their interactions.
### Response:
import igraph as ig

# Create a graph with some degree correlations
edges = [(0, 1), (1, 2), (2, 3), (3, 0), (0, 4), (4, 5), (5, 0)]
g = ig.Graph(edges=edges, directed=False)

# Calculate the average degree of the neighbors for each vertex
avg_degree_neighbors, avg_degree_func = g.knn()

# Output the results
print('Average degree of neighbors for each vertex:', avg_degree_neighbors)
print('Average degree of neighbors as a function of vertex degree:', avg_degree_func)
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