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The first result is on the separability of the unicast capacity of stationarymulti-channel multi-radio wireless networks, i.e., whether the capacity of sucha network is equal to the sum of the capacities of the correspondingsingle-channel single-radio wireless networks. For both the Arbitrary Networkmodel and the Random Network model, given a channel assignment, theseparability property does not always hold. However, if the number of radiointerfaces at each node is equal to the number of channels, the separabilityproperty holds. The second result is on the impact of multi-channel routing(i.e., routing a bit through multiple channels as opposed to through a singlechannel) on the network capacity. For both network models, the networkcapacities conditioned on a channel assignment under the two routing schemesare not always equal, but if again the number of radio interfaces at each nodeis equal to the number of channels, the two routing schemes yield equal networkcapacities.

On the Unicast Capacity of Stationary Multi-channel Multi-radio Wireless Networks: Separability and Multi-channel Routing