Abstract
The balanced hypercube BHn, defined by Wu and Huang, is a variant of the hypercube network. Yang proposed that fault tolerance of balanced hypercube BHn is an important issue in parallel computing which needs further study (Yang, 2010) [24]. In this paper, we prove that there exists a fault-free Hamiltonian path between any two adjacent vertices in BHn with 2n-2 faulty edges. As a corollary, we derive that for any fault-free edge e, there exists a fault-free Hamiltonian cycle containing e in BHn with 2n-2 faulty edges which is optimal in the sense of the number of faulty edges.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.