Introduction to parallel algorithms and architectures: array, trees, hypercubes
Introduction to parallel algorithms and architectures: array, trees, hypercubes
RH: A Versatile Family of Reduced Hypercube Interconnection Networks
IEEE Transactions on Parallel and Distributed Systems
ICS '90 Proceedings of the 4th international conference on Supercomputing
Honeycomb Networks: Topological Properties and Communication Algorithms
IEEE Transactions on Parallel and Distributed Systems
Introduction to Parallel Processing: Algorithms and Architectures
Introduction to Parallel Processing: Algorithms and Architectures
Problems with Comparing Interconnection Networks: Is an Alligator Better Than an Armadillo?
IEEE Parallel & Distributed Technology: Systems & Technology
A Class of Fixed-Degree Cayley-Graph Interconnection Networks Derived by Pruning k-ary n-cubes
ICPP '97 Proceedings of the international Conference on Parallel Processing
A New Technique for 3-D Domain Decomposition on Multicomputers which Reduces Message-Passing
IPPS '96 Proceedings of the 10th International Parallel Processing Symposium
Three-Dimensional Network Topologies
PCRCW '94 Proceedings of the First International Workshop on Parallel Computer Routing and Communication
Ring embedding in faulty honeycomb rectangular torus
Information Processing Letters
Hyper-Star Graph: A New Interconnection Network Improving the Network Cost of the Hypercube
EurAsia-ICT '02 Proceedings of the First EurAsian Conference on Information and Communication Technology
Information Processing Letters
Higher dimensional hexagonal networks
Journal of Parallel and Distributed Computing
Generalized honeycomb torus is hamiltonian
Information Processing Letters
IEEE Transactions on Parallel and Distributed Systems
Swapped interconnection networks: Topological, performance, and robustness attributes
Journal of Parallel and Distributed Computing - Special issue: Design and performance of networks for super-, cluster-, and grid-computing: Part II
A Group Construction Method with Applications to Deriving Pruned Interconnection Networks
IEEE Transactions on Parallel and Distributed Systems
Further mathematical properties of Cayley digraphs applied to hexagonal and honeycomb meshes
Discrete Applied Mathematics
The globally Bi-3*-connected property of the honeycomb rectangular torus
Information Sciences: an International Journal
Journal of Computer and System Sciences
On minimum metric dimension of honeycomb networks
Journal of Discrete Algorithms
Embedding even-length cycles in a hexagonal honeycomb mesh
International Journal of Computer Mathematics
Vertex-bipancyclicity of the generalized honeycomb tori
Computers & Mathematics with Applications
Honeycomb toroidal graphs are Cayley graphs
Information Processing Letters
Embedding a fault-free hamiltonian cycle in a class of faulty generalized honeycomb tori
Computers and Electrical Engineering
Diameter of parallelogramic honeycomb torus
Computers & Mathematics with Applications
Turbo NOC: a framework for the design of network-on-chip-based turbo decoder architectures
IEEE Transactions on Circuits and Systems Part I: Regular Papers
Independent spanning trees on even networks
Information Sciences: an International Journal
Optimal Independent Spanning Trees on Odd Graphs
The Journal of Supercomputing
Further properties of cayley digraphs and their applications to interconnection networks
TAMC'06 Proceedings of the Third international conference on Theory and Applications of Models of Computation
X-torus: a variation of torus topology with lower diameter and larger bisection width
ICCSA'06 Proceedings of the 2006 international conference on Computational Science and Its Applications - Volume Part V
Mathematical and Computer Modelling: An International Journal
Hamiltonian properties of honeycomb meshes
Information Sciences: an International Journal
Three-dimensional Petersen-torus network: a fixed-degree network for massively parallel computers
The Journal of Supercomputing
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Honeycomb and diamond networks have been proposed as alternatives to mesh and torus architectures for parallel processing. When wraparound links are included in honeycomb and diamond networks, the resulting structures can be viewed as having been derived via a systematic pruning scheme applied to the links of 2D and 3D tori, respectively. The removal of links, which is performed along a diagonal pruning direction, preserves the network's node-symmetry and diameter, while reducing its implementation complexity and VLSI layout area. In this paper, we prove that honeycomb and diamond networks are special subgraphs of complete 2D and 3D tori, respectively, and show this viewpoint to hold important implications for their physical layouts and routing schemes. Because pruning reduces the node degree without increasing the network diameter, the pruned networks have an advantage when the degree-diameter product is used as a figure of merit. Additionally, if the reduced node degree is used as an opportunity to increase the link bandwidths to equalize the costs of pruned and unpruned networks, a gain in communication performance may result.