graphscope.nx.generators.harary_graph.hnm_harary_graph#

graphscope.nx.generators.harary_graph.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

hkn_harary_graph

Notes

This algorithm runs in $O(m)$ time. It is implemented by following the Reference [2].

References