A fault-free Hamiltonian cycle passing through prescribed edges in a hypercube with faulty edges

  • Authors:
  • Wen-Qing Wang;Xie-Bin Chen

  • Affiliations:
  • Department of Mathematics and Information Science, Zhangzhou Teachers College, Zhangzhou, Fujian 363000, China;Department of Mathematics and Information Science, Zhangzhou Teachers College, Zhangzhou, Fujian 363000, China

  • Venue:
  • Information Processing Letters
  • Year:
  • 2008

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Abstract

In this paper, we consider the problem of a fault-free Hamiltonian cycle passing through prescribed edges in an n-dimensional hypercube Q"n with some faulty edges. We obtain the following result: Let n=2, F@?E(Q"n), E"0@?E(Q"n)\F with 1=