Interconnection Networks Based on a Generalization of Cube-Connected Cycles
IEEE Transactions on Computers
A Group-Theoretic Model for Symmetric Interconnection Networks
IEEE Transactions on Computers
ICS '90 Proceedings of the 4th international conference on Supercomputing
The cube-connected cycles: a versatile network for parallel computation
Communications of the ACM
Lee Distance and Topological Properties of k-ary n-cubes
IEEE Transactions on Computers
Optimal Routing Algorithm and the Diameter of the Cube-Connected Cycles
IEEE Transactions on Parallel and Distributed Systems
Three-Dimensional Network Topologies
PCRCW '94 Proceedings of the First International Workshop on Parallel Computer Routing and Communication
Design and analysis of product networks
FRONTIERS '95 Proceedings of the Fifth Symposium on the Frontiers of Massively Parallel Computation (Frontiers'95)
Periodically regular chordal ring networks for massively parallel architectures
FRONTIERS '95 Proceedings of the Fifth Symposium on the Frontiers of Massively Parallel Computation (Frontiers'95)
A Unified Formulation of Honeycomb and Diamond Networks
IEEE Transactions on Parallel and Distributed Systems
Pancake problems with restricted prefix reversals and some corresponding Cayley networks
Journal of Parallel and Distributed Computing
Mathematical and Computer Modelling: An International Journal
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We introduce a pruning scheme to reduce the node degree of k-ary n-cube from 2n to 4. The links corresponding to n - 2 of the n dimensions are removed from each node. One of the remaining dimensions is common to all nodes and the other is selected periodically from the remaining n - 1 dimensions. Despite the removal of a large number of links from the k-ary n-cube, this incomplete version still preserves many of its desirable topological properties. In this paper, we show that this incomplete k-ary n-cube belongs to the class of Cayley graphs, and hence, is node-symmetric. It is 4-connected with diameter close to that of the k-ary n-cube.