Edge-pancyclicity and edge-bipancyclicity of faulty folded hypercubes

Let Fv and Fe be sets of faulty vertices and faulty edges, respectively, in the folded hypercube FQn so that |Fv| + |Fe| ≤ n − 2, for n ≥ 2. Choose any fault-free edge e. If n ≥ 3 then there is a fault-free cycle of length l in FQn containing e, for every even l ranging from 4 to 2 − 2|Fv |; if n ≥ 2 is even then there is a fault-free cycle of length l in FQn containing e, for every odd l ranging from n+ 1 to 2 n − 2|Fv | − 1.