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In order to understand the key merits of multiuser diversity, opportunistic scheduling and spectrum reuse techniques in downlink relay-based cellular networks, this paper analyzes the spectral efficiency performance over a fading multihop broadcast channel (MBC) composed of a base station (BS), a relay station (RS), U far users and V near users in the asymptotic regime of large number of users. Using tools from extreme-value theory, we characterize the average spectral efficiency of the MBC as a function of the number of users and physical channel parameters. Our analysis yields very accurate formulas even for moderately low values of U and V , specified in detail and verified (via Monte Carlo simulations) for the case of Rayleigh fading. Next, we consider a relay-based broadband multi-cellular network in the downlink mode; with special focus on orthogonal frequency-division multiple-access (OFDMA) resource …