Abstract

Abstract A distance magic labeling of a graph G with magic constant k is a bijection λ from the V(G) into {1, 2,. . ., |V(G)|}, such that ∑u∈N(v) λ(u) = k for every vertex v. Here we present a heuristic algorithm for finding distance magic graphs and utilise it to find all distance magic graphs with at most 9 vertices.

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