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Section A

Edge-fault-tolerant bipancyclicity of Cayley graphs generated by transposition-generating trees

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Pages 1345-1352 | Received 23 Apr 2014, Accepted 07 Aug 2014, Published online: 04 Sep 2014
 

Abstract

The Cayley graphs on the symmetric group plays an important role in the study of Cayley graphs as interconnection networks. Let Cay(Sn, B) be the Cayley graphs generated by transposition-generating trees. It is known that for any FE(Cay(Sn, B)), if |F|≤n−3 and n≥4, then there exists a hamiltonian cycle in Cay(Sn, B)−F. In this paper, we show that Cay(Sn, B)−F is bipancyclic if Cay(Sn, B) is not a star graph, for n≥4 and |F|≤n−3.

2010 AMS Subject Classifications:

Acknowledgement

The research is supported by NSFC (No.11301371) and SXNSF.

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