There are several differing definitions of the sun graph. ISGCI defines a (complete) -sun graph as a graph on nodes (sometimes also known as a trampoline graph; Brandstädt et al. 1987, p. 112) consisting of a central complete graph with an outer ring of vertices, each of which is joined to both endpoints of the closest outer edge of the central core.
Wallis (2000) and Anitha and Lekshmi (2008) use the term "-sun" graph to instead refer to the graph on vertices obtained by attaching pendant edges to a cycle graph . These graphs are referred to as "sunlet graphs" by ISGCI. The 3-sunlet graph is also known as the net graph.
The sun graphs are pancyclic and uniquely Hamiltonian.
The bipartite double graph of the sun graph for odd is .