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Network Virtualization (NV) has been devised as one of the key bases of operative cloud systems. Commonly, Cloud Providers (CPs) seek to design their network policy, especially in a distributed environment. Virtual Network Embedding (VNE) is a functional tool granted by the NV technologies that allows CPs to manage their physical resources based on received Virtual Networks (VNs). This paper focuses on the context when a given Virtual Network Request (VNR) needs to be shared among multiple Data Center Networks (DCNs). The proposed VNE solution executes a two-stage policy where at the first stage, the DCNs and VNRs have been managed through an explicit approach to solve the assignment problem. Then, we perform a greedy load-balancing algorithm to accomplish the VNR mapping stage. The simulation results demonstrate that the two proposed methods outperformed the similar techniques …