摘要
Let G be a connected graph having a perfect matching. The graph G is said to be induced matching(IM) extendable if every induced matching M of G is contained in a perfect matching of G. In this paper, we show that Halin graph G = T ∪ C is IM-extendable if and only if its characteristic tree T is isomorphic to K1,3, K1,5, K1,7 or S2,2.