16Distance Magic and Distance Antimagic Labeling of Some Product Graphs

N P Shrimali

Department of Mathematics,Gujarat University,Ahmedabad,Gujarat (INDIA)E-mail: narenp05@gmail.com

Y M Parmar

Department of Mathematics,Gujarat University,Ahmedabad, Gujarat (INDIA)E-mail: ymp.maths@gmail.com

Let G = (V, E) be a graph of order n. Let f:V(G) → {1, 2, …, n} be a bijection. For any vertex qV(G), the sum $math$ is called the weight of the vertex q and is denoted by w(q). If there exists a positive integer γ such that w(q) = γ, for every qV(G), then f is called a distance magic labeling. The constant γ is called the magic constant for f. A graph which admits a distance magic labeling is called a distance magic graph. If w(q) ≠ w(r) for ...

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