1) The document discusses channel assignment and routing in multi-radio wireless mesh networks using network coding to optimize throughput. 2) It formulates the joint problem of random network coding, channel assignment, and broadcast link scheduling while taking into account factors like opportunistic overhearing, interference constraints, coding constraints, number of channels, radios per node, and fairness among unicast connections. 3) The authors develop a suboptimal auction-based solution and evaluation shows it can effectively use multiple radios and channels while addressing fairness, and outperforms traditional routing solutions with various channel assignment strategies.