The document proposes reducing the computational complexity of message passing algorithms like belief propagation (BP) and concave-convex procedure (CCCP) for multiuser detection in CDMA systems. It does this by changing the factor graph structure used to represent the detection problem from a fully connected graph (Factor Graph I) to a sparsely connected graph (Factor Graph II). Simulation results show the proposed CCCP detector for the new factor graph achieves near optimal performance with lower complexity than existing approaches.