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Cycle embedding in crossed cubes with conditional edge faults

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3 Author(s)
Lin Li ; Department of Applied Mathematics, Guangdong University of Technology, Guangzhou, 510006, China ; Dachang Guo ; Chaojie Yin

Crossed cubes are important variants of hypercubes. In this paper, we consider the cycle embedding problem in crossed cubes with conditional edge faults. We show that there exist cycles of all lengths from 4 to 2n in an n-dimensional crossed cube with ≤ 2n - 7 edge faults in which each vertex is incident with at least two healthy edges for n ≥ 5.

Published in:

2012 IEEE International Conference on Information Science and Technology

Date of Conference:

23-25 March 2012