The -sunlet graph is the graph
on
vertices
obtained by attaching
pendant edges to a cycle
graph
(ISGCI), i.e., the graph corona product
(Frucht 1979). Sunlet
graphs have also been called crown graphs (e.g., Gallian 2025), a terminology that
conflicts with the use of the term "crown graph"
in this work to refer to
.
They are also known as "sun graphs," which conflicts with the use of that
term in this work.
Sunlet graphs are trivially unit-distance graphs, as well as matchstick graphs. They are also graceful (Frucht 1979).
Note that Wallis (2000) and Anitha and Lekshmi (2008) use the term "-sun" graph to refer to sunlet graphs, whereas ISGCI and
other authors reserve that term for a different type of graph.
The 3-sunlet graph is also known as the net graph.
The bipartite double graph of the -sunlet graph for odd
is the
-sunlet graph.
If the restriction
in the I graph
is loosened, the
-sunlet graph corresponds to
.