networkx.generators.harary_graph.hnm_harary_graph¶
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hnm_harary_graph(n, m, create_using=None)[source]¶ Returns the Harary graph with given numbers of nodes and edges.
The Harary graph \(H_{n,m}\) is the graph that maximizes node connectivity with \(n\) nodes and \(m\) edges.
This maximum node connectivity is known to be floor(\(2m/n\)). 1
- Parameters
n (integer) – The number of nodes the generated graph is to contain
m (integer) – The number of edges the generated graph is to contain
create_using (NetworkX graph constructor, optional Graph type) – to create (default=nx.Graph). If graph instance, then cleared before populated.
- Returns
The Harary graph \(H_{n,m}\).
- Return type
NetworkX graph
See also
Notes
This algorithm runs in \(O(m)\) time. It is implemented by following the Reference 2.
References