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Edge-fault-tolerant edge-bipancyclicity of balanced hypercubes

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  • Li, Pingshan
  • Xu, Min

Abstract

The balanced hypercube, BHn, is a variant of hypercube Qn. Hao et al. (2014) showed that there exists a fault-free Hamiltonian path between any two adjacent vertices in BHn with (2n−2) faulty edges. Cheng et al. (2015) proved that BHn is 6-edge-bipancyclic after (2n−3) faulty edges occur for all n ≥ 2. In this paper, we improve these two results by demonstrating that BHn is 6-edge-bipancyclic even when there exist (2n−2) faulty edges for all n ≥ 2. Our result is optimal with respect to the maximum number of tolerated edge faults.

Suggested Citation

  • Li, Pingshan & Xu, Min, 2017. "Edge-fault-tolerant edge-bipancyclicity of balanced hypercubes," Applied Mathematics and Computation, Elsevier, vol. 307(C), pages 180-192.
    • Handle: RePEc:eee:apmaco:v:307:y:2017:i:c:p:180-192
    DOI: 10.1016/j.amc.2017.02.047
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    Cited by:

    1. Wei, Chao & Hao, Rong-Xia & Chang, Jou-Ming, 2020. "Two-disjoint-cycle-cover bipancyclicity of balanced hypercubes," Applied Mathematics and Computation, Elsevier, vol. 381(C).

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