Edge-fault-tolerant edge-bipancyclicity of hypercubes

Jun-Ming Xu, Zheng-Zhong Du, Min Xu
2005 Information Processing Letters  
In this paper, we consider the problem embedding a cycle into the hypercube Q n with existence of faulty edges and show that for any edge subset F of Q n with |F | n − 1 every edge of Q n − F lies on a cycle of every even length from 6 to 2 n inclusive provided n 4 and all edges in F are not incident with the same vertex. This result improves some known results.  2005 Published by Elsevier B.V.
doi:10.1016/j.ipl.2005.06.006 fatcat:i4w2xmywezek5d3hkqgl7zjvsm