Component Edge-Connectivity of Generalized K4-Hypercube

With the rapid expansion of data centers driven by big data processing and artificial intelligence, the urgent need is to seek and optimize multiprocessor systems based on interconnection networks with high reliability and strong fault tolerability. The generalized [Formula: see text]-hypercube [Formula: see text], one extended topology derived from the hypercube, is an ideal candidate for the choice of recursive interconnection networks. To quantitatively evaluate its link fault tolerance under multi-component partition scenarios, this paper investigates the [Formula: see text]-component edge-connectivity of [Formula: see text]. This work provides a precise quantitative metric for evaluating the structural robustness of the generalized [Formula: see text]-hypercube [Formula: see text] with a large number of link failures.