Let N be the set of all positive integers, and Zn={0, 1, 2, …, n-1}. For any h ∈ N, a graph G=(V,E) is said to be Zh-magic if there exists a labeling f : E → Zh\{0} such that induced vertex labeling f+ : V → Zh, defined by f+(v)= ∑uv∈Ef(uv), is a constant map. The integer-magic spectrum of G is the set IM(G)={ h ∈ N|G is Zh-magic}. A sun graph is obtained from attaching a path to each pair of adjacent vertices in an n-cycle. In this paper we showed that the integer-magic spectra of sun graphs are completely determined.
