Title
Edge-fault-tolerant pancyclicity of alternating group graphs
Abstract
The alternating group graph, which belongs to the class of Cayley graphs, is one of the most versatile interconnection networks for parallel and distributed computing. Previously, the alternating group graph was shown to be pancyclic, i.e., containing cycles of all possible lengths. In this article, we further show that the alternating group graph remains pancyclic, even if there are up to 2n - 6 edge faults, where n ≥ 3 is the dimension of the alternating group graph. The result is optimal with respect to the number of edge faults tolerated. © 2009 Wiley Periodicals, Inc. NETWORKS, 2009
Year
DOI
Venue
2009
10.1002/net.v53:3
Networks
Keywords
Field
DocType
fault tolerance,cayley graph,fault tolerant,alternating group
Discrete mathematics,Combinatorics,Outerplanar graph,Vertex-transitive graph,Line graph,Cayley graph,Symmetric graph,Butterfly graph,Pancyclic graph,Voltage graph,Mathematics
Journal
Volume
Issue
ISSN
53
3
0028-3045
Citations 
PageRank 
References 
5
0.52
22
Authors
3
Name
Order
Citations
PageRank
Ping-Ying Tsai1493.82
Gen-Huey Chen297989.32
Jung-Sheng Fu346124.92