Godinho, Aloysius2025-06-022025-06-022018Godinho, A., Singh, T., & Arumugam, S. (2017). The distance magic index of a graph. Discussiones Mathematicae Graph Theory, 38(1), 135-142.http://rcca.ndl.gov.in/handle/123456789/260Let G be a graph of order n and let S be a set of positive integers with |S| = n. Then G is said to be S-magic if there exists a bijection φ : V (G) → S satisfying P x∈N(u) φ(x) = k (a constant) for every u ∈ V (G). Let α(S) = max{s : s ∈ S}. Let i(G) = min α(S), where the minimum is taken over all sets S for which the graph G admits an S-magic labeling. Then i(G) − n is called the distance magic index of the graph G. In this paper we determine the distance magic index of trees and complete bipartite graphs.enArticle