Edge-fault-tolerant edge-bipancyclicity of hypercubes

In this paper, we consider the problem embedding a cycle into the hypercube Qn with existence of faulty edges and show that for any edge subset F of Qn with |F|⩽n−1 every edge of Qn−F lies on a cycle of every even length from 6 to 2n inclusive provided n⩾4 and all edges in F are not incident with the same vertex. This result improves some known results.