2 papers
math.CO2025
A perfect matching reciprocity method for embedding multiple hypercubes in an augmented cube: Applications to Hamiltonian decomposition and fault-tolerant Hamiltonicity
Da-Wei Yang, Hongyang Zhang, Rong-Xia Hao +1
This paper focuses on the embeddability of hypercubes in an important class of Cayley graphs, known as augmented cubes. An -dimensional augmented cube is constructed by a…
math.CO2025
Reliability Evaluation of Generalized -Hypercubes Based on Five Link Fault Patterns
Shuqian Cheng, Mingzu Zhang, Sun-Yuan Hsieh +1
As the scale of data centers continues to grow, there is an increasing demand for interconnection networks to resist malicious attacks. Hence, it is necessary to evaluate the relia…