Complete path embeddings in crossed cubes

  • Authors:
  • Jianxi Fan;Xiaohua Jia;Xiaola Lin

  • Affiliations:
  • Department of Computer Science, City University of Hong Kong, 83 Tat Chee Avenue, Kowloon, Hong Kong;Department of Computer Science, City University of Hong Kong, 83 Tat Chee Avenue, Kowloon, Hong Kong;College of Information Science and Technology, Sun Yat-sen University, Guangzhou, China

  • Venue:
  • Information Sciences: an International Journal
  • Year:
  • 2006

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Abstract

Crossed cubes are popular variants of hypercubes. In this paper, we study path embeddings between any two distinct nodes in crossed cubes. We prove two important results in the n-dimensional crossed cube: (a) for any two nodes, all paths whose lengths are greater than or equal to the distance between the two nodes plus 2 can be embedded between the two nodes with dilation 1; (b) for any two integers n=2 and l with 1=