Minimum degree and the existence of semiregular factors in planar graphs

Let G be a simple planar graph and let α be a positive integer such that 1 ≤ α ≤ 3 and δ(G) ≥ α + 2. For every pair of edges e1, e2 of G, the graph G− {e1, e2} contains an [α, α + 1]-factor.