Abstract
The balanced hypercube BH n is a variant of the hypercube Q n . Huang and Wu proved that BH n has better properties than Q n with the same number of links and processors. In particularly, they showed that there exists a cycle of length 2 l in BH n for all l, 2 ⩽ l ⩽ 2 n. In this paper, we improve this result by showing that BH n is edge-pancyclic, which means that for arbitrary edge e, there exists a cycle of even length from 4 to 2 2 n containing e in BH n . We also show that the balanced hypercubes are Hamiltonian laceable.
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