MEC has been gaining great interest in addressing the limited computational capability in 5G mobile networks. Although there are several existing works about MEC, for example, utilizing WNV and SDN, virtualized D2D communication together with learning-based D2D communication systems, such as social and smart D2D networking systems, have not been investigated by researchers, while knowledge of the edge is lacking. In this article, we introduce an innovative framework, called KCE, to dynamically detect network structure and manage communication resources, leveraging the insightful knowledge obtained from D2D communications among mobile users. Further, to support trustworthy network access and to meet different QoS requirements in the proposed architecture, specific SPs are selected from InPs by a KCE server. As such, the chosen SPs' resources can be dynamically allocated to meet various service requirements by virtualized D2D communication techniques. Simulation results demonstrate the effectiveness of the proposed framework under different scenarios and parameter settings.