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networkx.generators.degree_seq.is_valid_degree_sequence

networkx.generators.degree_seq.degree_sequence_tree

networkx.generators.degree_seq.degree_sequence_tree(deg_sequence, create_using=None)

Make a tree for the given degree sequence.

A tree has #nodes-#edges=1 so the degree sequence must have len(deg_sequence)-sum(deg_sequence)/2=1