networkx.algorithms.graphical.is_graphical¶
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is_graphical
(sequence, method='eg')[source]¶ Returns True if sequence is a valid degree sequence.
A degree sequence is valid if some graph can realize it.
Parameters: - sequence (list or iterable container) – A sequence of integer node degrees
- method (“eg” | “hh” (default: ‘eg’)) – The method used to validate the degree sequence. “eg” corresponds to the Erdős-Gallai algorithm, and “hh” to the Havel-Hakimi algorithm.
Returns: valid – True if the sequence is a valid degree sequence and False if not.
Return type: Examples
>>> G = nx.path_graph(4) >>> sequence = (d for n, d in G.degree()) >>> nx.is_graphical(sequence) True
References
- Erdős-Gallai
- [EG1960], [choudum1986]
- Havel-Hakimi
- [havel1955], [hakimi1962], [CL1996]