A technique for resource allocation in a wireless network (for example, an access point type wireless network), which supports concurrent communication on a band of channels, is provided. The technique includes accepting connectivity information for the network that supports concurrent communication on the band of channels. A conflict graph is generated from the connectivity information. The generated conflict graph models concurrent communication on the band of channels. A linear programming approach, which incorporates information form the conflict graph and rate requirements for nodes of the network, can be utilized to maximize throughput of the network.