The 1,2-Extra Connectivity of Cactus-Based Networks

连通度是评估网络可靠性的经典指标。根据故障处理器的分布情况，网络的条件连通性受到了广泛关注。本文旨在研究仙人掌基网络的1-额外连通度和2-额外连通度，为大规模并行计算系统和分布式网络的拓扑设计提供理论支持。Connectivity serves as a fundamental metric for evaluating network reliability. Based on the distribution of faulty processors, the conditional connectivity of a network has received much attention. This paper aims to investigate the 1-extra connectivity and 2-extra connectivity of cactus-based networks, providing theoretical support for the topological design of large-scale parallel computing systems and distributed networks.