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In Wireless Sensors Networks (WSNs), energy efficiency is an important topic. To prolong the lifetime and achieve effective geographic routing, we apply a sparse number of anchors and color theory to estimate location of sensor nodes. In this paper, we modify the election of relay node which differs from Color-theory-based Energy Efficient Routing (CEER) algorithm. This approach can reduce the transmission cost of cluster head such that an energy-saving routing is created. Simulation results show our proposed Color-theory-based Geographical Energy Efficient Routing (CGEER) algorithm can reduce the cost of cluster head transmission and achieve efficiency energy networks.