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is_valid_degree_sequence

is_valid_degree_sequence(deg_sequence, method='hh')[source]

Returns True if deg_sequence is a valid degree sequence.

A degree sequence is valid if some graph can realize it.

Parameters :

deg_sequence : list

A list of integers where each element specifies the degree of a node in a graph.

method : “eg” | “hh”

The method used to validate the degree sequence. “eg” corresponds to the Erdős-Gallai algorithm, and “hh” to the Havel-Hakimi algorithm.

Returns :

valid : bool

True if deg_sequence is a valid degree sequence and False if not.

References

Erdős-Gallai
[EG1960], [choudum1986]
Havel-Hakimi
[havel1955], [hakimi1962], [CL1996]