lollipop_graph(m, n, create_using=None)[source]¶
Returns the Lollipop Graph;
This is the Barbell Graph without the right barbell.
m, n (int or iterable container of nodes (default = 0)) – If an integer, nodes are from
range(m,m+n). If a container, the entries are the coordinate of the node.
The nodes for m appear in the complete graph \(K_m\) and the nodes for n appear in the path \(P_n\)
create_using (NetworkX graph constructor, optional (default=nx.Graph)) – Graph type to create. If graph instance, then cleared before populated.
The 2 subgraphs are joined via an edge (m-1, m). If n=0, this is merely a complete graph.
(This graph is an extremal example in David Aldous and Jim Fill’s etext on Random Walks on Graphs.)