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Pancyclicity and panconnectivity in augmented k-ary n-cubes.

Xiang, Y. and Stewart, I.A. (2009) 'Pancyclicity and panconnectivity in augmented k-ary n-cubes.', in 15th International Conference on Parallel and Distributed Systems, ICPADS, 8-11 December 2009, Shenzhen, China ; proceedings. Los Alamitos, CA: IEEE, pp. 308-315.

Abstract

The augmented k-ary n-cube AQ_{n,k} is a recently proposed interconnection network that incorporates an extension of a k-ary n-cube Q_n^k inspired by the extension of a hypercube Q_n to the augmented hypercube AQ_n (as developed by Choudom and Sunita). We extend a recent topological investigation of augmented k-ary n-cubes by proving that any augmented k-ary n-cube AQ_{n,k} is edge-pancyclic and that AQ_{2,k} is panconnected.

Item Type:Book chapter
Full text:PDF - Accepted Version (125Kb)
Status:Peer-reviewed
Publisher Web site:http://dx.doi.org/10.1109/ICPADS.2009.45
Record Created:21 Oct 2009 17:05
Last Modified:29 Nov 2011 09:28

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