An 
-pineapple
graph is a graph obtained by adding 
pendant vertices to one
of the vertices of the complete
graph 
,
where 
and 
(DeAlba et al. 2009, American Institute of Mathematics). Pineapple graphs
for small 
are illustrated above.
The degenerate case of 
corresponds to an 
-lollipop graph. Other special cases are summarized
in the following table.
 | named graph |
 | paw graph |
 | cricket graph |
