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Channel assignment algorithms revealed so far in the literature for multi-radio multi-channel wireless mesh networks (MRMC-WMN) mainly deals with orthogonal channels (non-overlapped channels). But considering the total number of available orthogonal channels in the case of IEEE 802.11b, which is limited to only 3 channels. Therefore, this lack of availability of assignable channels causes inefficient use of spectrum resources. It is very difficult to design a feasible channel assignment algorithm using only orthogonal channels that is interference-aware and throughput maximizing, whereas it also minimizes switching delay and at the same time makes the best utilization of spectrum resources. We had taken the novel approach of satisfying the above goals through the smartly utilization of partially overlapped channels (POC). We also introduce the notion of a 3D node-radio-channel (NRC) graph model for characterizing the topological structure along with interfaces associated with different channels at each node.