An 
-gonal 
-cone graph, also called the 
-point suspension of 
or generalized wheel graph (Buckley and Harary 1988), is
defined by the graph join 
, where 
is a cyclic graph and 
is an empty
graph (Gallian 2007).
Special cases are summarized in the following table.
-
-Buckley and Harary (1988) consider the graph dimension of the cone graph.
Precomputed properties of cone graphs are implemented in the Wolfram Language as GraphData[
Cone, 
m, n
].
Embeddings of a number of small cone graphs are illustrated above.
