Godinho, Aloysius2025-05-312025-05-312018Godinho, A., & Singh, T. (2018). Some distance magic graphs. AKCE International Journal of Graphs and Combinatorics, 15(1), 1-6.http://rcca.ndl.gov.in/handle/123456789/240A graph G = (V, E), where |V| = n and |E| = m is said to be a distance magic graph if there exists a bijection from the vertex set V to the set {1, 2, . . . , n} such that, ∑ v∈N(u) f (v) = k, for all u ∈ V, which is a constant and independent of u, where N(u) is the open neighborhood of the vertex u. The constant k is called the distance magic constant of the graph G and such a labeling f is called distance magic labeling of G. In this paper, we present new results on distance magic labeling of C r n and neighborhood expansion Dn(G) of a graph G.enArticle