Cookies

We use cookies to ensure that we give you the best experience on our website. You can change your cookie settings at any time. Otherwise, we'll assume you're OK to continue.

Durham University

Computer Science

Profile

Publication details for Professor Iain Stewart

Xiang, Y. & Stewart, I.A. (2009), Pancyclicity and panconnectivity in augmented k-ary n-cubes, The Fifteenth International Conference on Parallel and Distributed Systems (ICPADS'09). Shenzhen, China, IEEE Computer Society, Los Alamitos, 308-315.

Author(s) from Durham

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.