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We present a network information theory for wireless communications. This theory addresses the following issues: (i) How the amount of information that can be carried over a wireless network scales as the number n of nodes in the network increases. (ii) Obtains bounds on the pre-constant in the scaling law, thus obtaining bounds on network capability as a function of n, the number of nodes in the network. (iii) What, strategies for operating the wireless network give optimal performance up to order.