| 摘 要： | A graph G on n vertices is called pancyclic if it contains cycles of everylength k, for 3≤k≤n. A bipartite graph on 2n vertices is called bipancyclicif it contains cycles of every even length 2k, for 2≤k≤n. In this paper,we consider only finite, undirected graphs without loops ormultipie edges. We shall give a new sufficient condition ensuring a Hamiltonian graph tobe pancyclic(or bipancyclic), The main results are the following two theorems.Theorem A. Let G be a Hamiltonian graph of order n. If there exisis a
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