We study the problem of achieving maximum network throughput with fairness among the flows at the
nodes in a wireless mesh network, given their location and the number of their half-duplex radio interfaces.
Our goal is to find the minimum number of non-overlapping frequency channels required to achieve
interference-free communication. We use our existing Select x for less than x topology control algorithm (TCA)
to build the connectivity graph (CG), which enhances spatial channel reuse to help minimize the number of
channels required. We show that the TCA-based CG approach requires fewer channels than the classical
approach of building the CG based on the maximum power. We use multi-path routing to achieve the
maximum network throughput and show that it provides better network throughput than the classical
minimum power-based shortest path routing. We also develop an effective heuristic method to determine the
minimum number of channels required for interference-free channel assignment.

Keywords: Channel assignment; Fairness; Interference-free; Maximum throughput; Multi-radio multi-channel;
Wireless mesh networks