An n-dimensional folded hypercube FQnis an attractive variance of an n-dimensional hypercube Qn, it is obtained by adding an edge between every pair of vertices with complementary addresses. Recently, Hsieh studied edge-fault-tolerant Hamiltonicity of FQn, and Fang studied (bi)panconnectivity of FQn. In this paper, we first give a result on the connection between FQnand Qn, then applying known topological properties of hypercubes, we improve the results of Hsieh; also, we obtain some results on fault-tolerant (bi)panconnectivity of FQnthat generalize the results of Fang. By our method it is possible to obtain other topological properties of FQn. © 2008 Elsevier B.V. All rights reserved.
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