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Natural Isomorphism Classes of Cycle Permutation Graphs Over a Graph
Authors:Hye Kyung Kim  Jin Hwan Kim  Daekeun Lim
Institution:(1)  Mathematics, Catholic University of Taegu Hyosung, Kyongsan, 713-702 Korea, KR;(2)  Mathematics Education, Yeungnam University, Kyongsan, 712-749 Korea, KR;(3)  Mathematics, Keimyung University, Taegu, 704-701 Korea, KR
Abstract: A permutation graph over a graph was introduced by Lee and Sohn in 8] as a generalization of both a graph bundle over a graph and a standard permutation graph, and they gave a characterization of a natural isomorphism and an automorphism of a given permutation graph over a graph. In this paper, we enumerate the natural isomorphism classes of cycle permutation graphs over a graph. Received: October 21, 1996 Revised: August 25, 1997
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