Windmill Graph

The -windmill graph is the graph obtained by taking copies of the complete graph with a vertex in common (Gallian 2011, p. 16). The -windmill graph is therefore isomorphic to the graph join .

The -windmill graph is isomorphic to the graph contraction and the -windmill graph is isomorphic to the -Dutch windmill graph.

Special cases are summarized in the following table.

	graph
	butterfly graph
	3-double cone graph
	-Dutch windmill graph

Windmill graphs are geodetic.

Precomputed properties of windmill graphs are implemented in the Wolfram Language as GraphData["Windmill", m, n].