Topological Properties of Hypercubes
IEEE Transactions on Computers
Addressing, Routing, and Broadcasting in Hexagonal Mesh Multiprocessors
IEEE Transactions on Computers
A Variation on the Hypercube with Lower Diameter
IEEE Transactions on Computers
IEEE Transactions on Parallel and Distributed Systems
Honeycomb Networks: Topological Properties and Communication Algorithms
IEEE Transactions on Parallel and Distributed Systems
Sep: A Fixed Degree Regular Network for MassivelyParallel Systems
The Journal of Supercomputing
Processor Scheduling and Allocation for 3D Torus Multicomputer Systems
IEEE Transactions on Parallel and Distributed Systems
A Unified Formulation of Honeycomb and Diamond Networks
IEEE Transactions on Parallel and Distributed Systems
Diagonal and Toroidal Mesh Networks
IEEE Transactions on Computers
Transposition Networks as a Class of Fault-Tolerant Robust Networks
IEEE Transactions on Computers
Properties and Performance of Folded Hypercubes
IEEE Transactions on Parallel and Distributed Systems
Optimal Broadcasting on the Star Graph
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
FRONTIERS '96 Proceedings of the 6th Symposium on the Frontiers of Massively Parallel Computation
IEEE Transactions on Parallel and Distributed Systems
IEEE Transactions on Parallel and Distributed Systems
A new family of interconnection networks of odd fixed degrees
Journal of Parallel and Distributed Computing - Special issue: 18th International parallel and distributed processing symposium
Node Mapping Algorithm between Torus and Petersen-Torus Networks
NCM '08 Proceedings of the 2008 Fourth International Conference on Networked Computing and Advanced Information Management - Volume 01
Petersen-Torus Networks for Multicomputer Systems
NCM '08 Proceedings of the 2008 Fourth International Conference on Networked Computing and Advanced Information Management - Volume 01
Performance modeling of Cartesian product networks
Journal of Parallel and Distributed Computing
Twisted Torus Topologies for Enhanced Interconnection Networks
IEEE Transactions on Parallel and Distributed Systems
Matrix-Star graphs: a new interconnection network based on matrix operations
ACSAC'05 Proceedings of the 10th Asia-Pacific conference on Advances in Computer Systems Architecture
The Journal of Supercomputing
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A two-dimensional (2D) Petersen-torus network is a mesh-class fixed-degree network designed using a Petersen graph, which has a maximum of 10 nodes when the degree is 3 and the diameter is 2 in a (d,k)-graph problem. Here, I propose a new three-dimensional (3D) Petersen-torus network that extends the 2D Petersen-torus network without increasing the degree. The 3D Petersen-torus has the same number of nodes (N). The 3D Petersen-torus is better than the well-known 3D torus and 3D honeycomb mesh in terms of diameter and network cost. The 3D Petersen-torus network is better than the hypercube-like and star graph-like networks in terms of extendibility. Hence, the proposed network may serve as the foundation for realizing a high-performance multicomputer. In this paper, the optimal routing algorithm, Hamilton cycle, and several basic attributes are discussed. Furthermore, a comparison with a mesh-class fixed-degree 3D network is made for degree, diameter, and network cost.