Path embedding on folded hypercubes

  • Authors:
  • Sun-Yuan Hsieh

  • Affiliations:
  • Department of Computer Science and Information Engineering, National Cheng Kung University, Tainan, Taiwan

  • Venue:
  • TAMC'07 Proceedings of the 4th international conference on Theory and applications of models of computation
  • Year:
  • 2007

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Abstract

We analyze some edge-fault-tolerant properties of the folded hypercube, which is a variant of the hypercube obtained by adding an edge to every pair of nodes with complementary address. We show that an n-dimensional folded hypercube is (n - 2)-edge-fault-tolerant Hamiltonian-connected when n(≥2) is even, (n - 1)-edge-fault-tolerant strongly Hamiltonian-laceable when n(≥ 1) is odd, and (n - 2)-edgefault-tolerant hyper Hamiltonian-laceable when n(≥ 3) is odd.