Integer-Magic Spectra of Functional Extension of Graphs
نویسندگان
چکیده
For any k ∈ N, a graph G = (V, E) is said to be Zk-magic if there exists a labeling l : E(G) → Zk − {0} such that the induced vertex set labeling l : V (G) → Zk defined by l(v) = ∑ uv∈E(G) l(uv) is a constant map. For a given graph G, the set of all k ∈ N for which G is Zk-magic is called the integer-magic spectrum of G and is denoted by IM(G). In this paper we will consider the functional extensions of Pn (n = 2, 3, 4) and will determine their integer-magic spectra.
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