Edge-fault-tolerant edge-bipancyclicity of hypercubes

  • Authors:
  • Jun-Ming Xu;Zheng-Zhong Du;Min Xu

  • Affiliations:
  • Department of Mathematics, University of Science and Technology of China, Hefei, Anhui, China;Department of Mathematics, University of Science and Technology of China, Hefei, Anhui, China;Department of Mathematics, University of Science and Technology of China, Hefei, Anhui, China

  • Venue:
  • Information Processing Letters
  • Year:
  • 2005

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Abstract

In this paper, we consider the problem embedding a cycle into the hypercube Qn with existence of faulty edges and show that for any edge subset F of Qn with |F| ≤ n - 1 every edge of Qn - F lies on a cycle of every even length from 6 to 2n inclusive provided n ≥ 4 and all edges in F are not incident with the same vertex. This result improves some known results.