Analysis on topology control boundary conditions in wireless mesh networks

In this paper, we investigate the topology boundary conditions in wireless mesh networks (WMNs) with focus on the maximum network diameter of such networks under different performance requirements. Specifically, we derive an end-to-end maximum node number upper bound, i.e., an upper bound on the network diameter as a function of end-to-end delay requirement, and an end-to-end maximum node number upper bound as a function of end-to-end throughput requirement. Numerical and simulation results show that the derived bounds are tight. Our analysis can serve as a reference for WMN topology and routing protocol design and optimization given a network with performance requirements and constraints.