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Analytical models are developed for effective resistance of two dimensional resistor networks and applied to multi-layer graphene nanoribbon (GNR) interconnects. Improvement in effective resistance with additional GNR layers is estimated and optimal number of layers to minimize delay and Energy-delay-product (EDP) are quantitatively derived. Since longer interconnects have better coupling between layers, the optimal number of layers increases with length. Other potential applications of the model including graphene contact for solar cells are briefly discussed.