Abstract
The balanced hypercube is a new variant of the hypercube, which was proposed by Wu and Huang. Xu et al. (2007) proved that every edge of an n-dimensional balanced hypercube BHn lies on a cycle of every even length from 4 to 22n. In this paper, we consider the edge-bipancyclicity of BHn with faulty vertices. Let Fv be the set of faulty vertices in BHn with |Fv|⩽n-1. We show that every fault-free edge of BHn-Fv lies on a fault-free cycle of every even length from 4 to 22n-2|Fv|, where n⩾1. Our result improves the previous best result by Xu et al. in terms of fault-tolerant vertices.
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