There are several approaches in building up mobile networks, and they are dynamic. When mobile network users move very fast, the movement will cause the cell phone disconnection, and it’s a handoff problem. And we proposed water-wave method will build up: 1. Water-wave checkerboard mobile networks. 2. Water-wave spider mobile networks. 3. Water-wave cellular mobile networks. The proposed mobile relaxation network method used the enhanced A* search algorithms with the D'Alembert's test and the Root test along with the network simplex method in finding an optimal solution for mobile networks. Applications of the proposed mobile relaxation network method are 1.The Water-wave checkerboard mobile networks. 2. The spider mobile networks. 3. The cellular mobile networks. We used the Parallel of bio-logic circuitry, and it use the NOT, AND, OR, XOR, comparator and adder bio-logic. It makes the mobile network faster.