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For a simple connected graph Ω, the Maximum independent D-energy (distance energy) DEImax results from the total of its absolute D-latent values. DEImax has been calculated for some of the well known standard graphs. Also the basic properties of DEImax are also analyzed by studying a graph’s characteristic polynomial, its D-latent values and its D-energy DEImax. As an implementation in the field of Chemistry, DEImax has been established here for Cancer medicines namely Carboplatin & Cisplatin for mathematical Comparative purposes.