A Highly Reliable Multiplexing Scheme in Hypercube-Structured Hierarchical Networks

The design and optimization of network topologies play a critical role in ensuring the performance and efficiency of high-performance computing (HPC) systems. Traditional topology designs often fall short in satisfying the stringent requirements of HPC environments, particularly with respect to fault tolerance, latency, and bandwidth. To address these limitations, we propose a novel class of hierarchical networks, termed Hypercube-Structured Hierarchical Networks (HHNs). This architecture generalizes and extends existing architectures such as half hypercube networks and complete cubic networks, while also introducing previously unexplored hierarchical designs. HHNs exhibit several advantages, particularly in high-performance computing. Most notably, their high connectivity enables efficient parallel data processing, and their hierarchical structure supports scalability to accommodate growing computational demands. Furthermore, we present a unicast routing strategy and a broadcast algorithm for HHNs. A fault-tolerant algorithm is also designed based on the construction of disjoint paths. Experimental evaluations demonstrate that HHNs consistently outperform mainstream architectures in critical performance metrics, including scalability, latency, and robustness to failures.