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Infinite Circulant Digraphs and Random Infinite Circulant Digraphs
Authors:Qiang Xiang Huang  Ji Xiang Meng  Fu Ji Zhang
Affiliation:(1) The College of Mathematics and Sciences, Xinjiang University, Urumqi 830046, P. R. China E-mail: huangqx@xju.edu.cn, CN;(2) The Department of Mathematics, Xiamen University, Xiamen 361005, P. R. China E-mail: fjzhang@jingxian.xmu.edu.cn, CN
Abstract:In this paper, we completely determine the connectivity of every infinite circulant digraphs and prove that almost all infinite circulant digraphs are infinitely strongly connected and therefore have both one- and two-way infinite Hamiltonian paths. Received February 4, 1998, Accepted May 16, 2002
Keywords:Infinite circulant digraph   Connectivity   Hamiltonian path
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