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Remigiusz Durka Cube vs. Hypercube Siatka a kostka MC3D David Vanderschel wrote MC3D puzzle largely as an educational tool for explaining these concepts by ...
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... applicable to any network with all-port communication 00000 Source ... for designing adaptive wormhole routing algorithms is that of virtual communication ...
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1. Hypercubic Networks. Charles E. Leiserson. 6.895 ... Butterflies. 10. Decomposing a Butterfly. 11. Decomposing a Butterfly. 12. Decomposing a Butterfly ...
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(tesseract) A 2-dimensional cube C2. is a square. ... There are 4 edges: 1 from the original line segment. 1 from the translated line segment ...
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Shuffle-Exchange Network. 010. 011. 000. 001. 110. 111. 100. 101. 37. Shuffle-Exchange Network. 010. 011. 100. 101. 110. 111. 000. 001. 38. Perfect Shuffle. 000. 100 ...
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The hypercube architecture has played an important role in the development of ... Hypercube is both node- and edge- symmetric. ...
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Bursa Malaysia. BW/BPS Implementation. Malaysia. BW/BPS Implementation. Petronas ... Malaysia. SEM Implementation. Dumex(now is Danone) Project Description ...
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Antibandwidth and Cyclic Antibandwidth of Meshes and Hypercubes ... Arborescent comparability. Treshold. graphs. (Donnely, Isaak, Hamiltonian powers in ...
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How to maintain desirable properties such as connectivity, network diameter, node degree, ... tricks for general graphs G=(V,E), given the ingredients (on G) ...
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V(Qn) = binary vectors of length n. E(Qn) = two vertices are adjacent ... (Louis Gros, 1872) a solution of the 'Chinese ring puzzle' 9. 9.9.2005. Eurocomb 05 ...
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The torus and hypercube are symmetrical topologies in which the degree of a node ... mesh, all the nodes in tori and hypercubes are identical in connectivity. ...
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... with node in-degree and out-degree of q/2, called a pruned q-cube. Find the diameter of such a pruned q-cube. Find the bisection width of such a pruned q-cube. ...
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V = set of vertices ('nodes', machines, peers, ...) E = set of edges ('connections', wires, links, pointers, ...) 'Traditional', static networks ...
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Hypercube Graph. Recursive Definition ... Inhibitory Hypercube ... or strongly stable state of the inhibitory hypercube network, respectively. ...
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Consider two E-Commerce ads: 'Selling red BMW car, 2000, good condition, 10,000 miles' ... Consider red 2000 BMW' vs. 'red 2000 BMW', 'leather seats, manual, ...
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Clusters are assigned to concepts organized in an ontology ... Partitions network into concept clusters. Creates outer' hypercube, connecting the concept clusters ...
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The problem is to design and reconfigure a ... Reconfiguring a k-ft C of G is done as follows (F here is a set of ... Algorithm Reconfigure-C2H (C, G, H, m, F) ...
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Processor prefix values are shown large in (c), (d), and (e); subcube prefix values are small. ... (c) First step: Communicating along 3-dimensional edges. ...
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Consider ring, mesh, and hypercube. ... Broadcast (hypercube) Broadcast (hypercube) A message is sent along each dimension of the hypercube. Parallelism grows ...
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The mesh algorithm can be generalized to a hypercube ... the mesh algorithm to log p ... Communication on a Hypercube: Cost Analysis of Optimal Algorithm ...
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b. a == Hypercube ! sequential: O(N log N), parallel: O(log N) ...
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u(i,j) is element at position i on the rod at time j. Finite Difference Method ... Hypercube for All-gather ... Hypercube. Complete graph. I/O Time ...
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(b) Hypercube. 14. STEM. Pusan National University. STEM-PNU ... Pusan National University. STEM-PNU. Homogeneous Multicomputer Systems (a) Grid (b) Hypercube ...
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Efficient Realization of Hypercube Algorithms on Optical Arrays* Hong Shen Department of Computing & Maths Manchester Metropolitan University, UK
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Hypercube two nodes connected if they are differ precisely on one bit ... procedure cannot be improved by using CT routing. Gossiping on Hypercube (CT routing) ...
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... ring Broadcast on mesh Broadcast on tree Broadcast on hypercube Gossiping problem Gossiping on ring Gossiping on mesh Gossiping on hypercube Overview ...
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Parallel Computation Models Lecture 3 Lecture 4 Parallel Computation Models PRAM (parallel RAM) Fixed Interconnection Network bus, ring, mesh, hypercube, shuffle ...
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For any given hypercube corner in the state space of SRN dynamics, which is ... Stable Non-hypercube Corners 19. all 16 hypercube corners appeared as stable ...
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ATM switches are categorized based on internal architectural ... delta, omega, perfect shuffle. Hypercube switches. 4 x 4 Crossbar Switch. A1. A2. A3. A4 ...
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One data entity processed by one PE. Mapping Problem space into ... Hypercube: 2^N nodes in N dimension. Hypercube: 4-D. Long and short-range connections ...
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Lecture 22: Interconnection Networks Topics: Routing, deadlock, flow control, virtual channels * * Network Topology Examples Grid Hypercube Torus * Routing ...
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Parallel Computing Techniques and Applications Using ... Hypercube ... Hypercube. Label nodes with binary value, connect nodes that differ in 1 coordinate ...
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3.4 Day 2 Similar Matrices This is a hypercube Two matrices A and B are similar if a matrix P exists such that: This can be thought of as the same linear ...
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Asynchronous Interconnection Network and Communication Chapter 3 of Casanova, et. al. Hypercube Routing (cont) This routing algorithm can be used to implement a ...
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DC-Torus. DC-Hypercube? You know what a hypercube looks like, right? Our Plans. Simulation: how long does it take to attack these new configurations? ...
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Vertex Cut ... Connectivity of G ( (G)): The minimum size of a vertex set S such that G-S is ... K-dimensional Hypercube Qk : K=1. K=2. K=3. K=4. Connectivity of Qk ...
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To make a hypercube of degree k, Take 2 hypercubes of degree (k-1) ... N-dimensional 'hyper' cube, but number of processors along each dimension is k ...
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... * Interconnection Networks Recall: fully connected network, arrays/rings, meshes/tori, trees, butterflies, hypercubes Consider a k-ary d-cube: ...
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Process Pi keeps min{ai,aj}, and Pj keeps max{ai, aj}. Sorting: Basics ... The connectivity of a mesh is lower than that of a hypercube, so we must expect ...
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Mix apples and pears. Generalised format: The hypercube. Obey certain rules. Clean dimensions ... Residents in OECD countries 1990-2005 by Country, Time, ...
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Topology. A single shared bus is not necessarily the best way to connect processors/memory ... Many topologies can be embedded in hypercubes. Hypercubes have ...
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A bounded distribution is confined to lie between two determined values ... i.e. Iterations or trials ... Each layer only sampled once. Latin Hypercube Sampling ...
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Fractal Tours. Winding Curve ... 3 - Travel along a geodesic path between these two projection. 4 - Repeat ... on a fractal tour through a hypercube. Projection ...
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the same dimension-wise approach can be used. Hypercube ... Homework: do this for a hypercube as well. 6. 5. 0. 4. 2. 10. 7. 13. 16. 9. 1. 12. 3. 8. 11. 14. p0 ...
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Mesh or hypercube connectivity. Exploit data locality of e.g. image processing applications ... Tight inter FU connectivity required. Large instructions. Not ...
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The Good news. Chung: Hypercubes (K2 x K2 x ... The Bad News. Complete graphs are hard! Sj strund's Theorem fails ... when s and t are odd. Choosing a target ...
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Programming models: Each processor has only local variables. ... Mesh, Tori , K-ary n-cube. Hypercube. Multi-stage networks (cross-bars and Omega networks) ...
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Generalized mesh/torus. K-ary n digits number is assigned into each node ... Hypercubes 2D/3D mesh/torus. small d, easy to implement ...
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Let the edges of these 2n cubes (called hypercube edges) have cost 1. ... dimension- Aip cut in cube Cip. ... Let Iap,i be the influence of M for each cube Cip. ...
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Difficulty in visualizing functions of higher dimensions. Inspiration from Sanjini's work. ... Order the hypercubes row-wise and later. layer-wise. Step 6 ...
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... structures linear array, ring, rectangular mesh, cylinder, torus (hypercubes) ... MPI provides defaults for ring, mesh, torus and other common structures ...
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Distribution-free Monte Carlo for population viability analysis. Janos G. Hajagos ... Carlo is conservative no need for biased sampling (e.g. Latin hypercube sampling) ...
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Latin Hypercube Sampling. Sampling method that appears random ... Changes can be made quickly & compared with previous models. Advantages of Monte Carlo Method ...
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connected by a tube: 1-dim narrow. n-dim hypercube. NUS CS 5247 David Hsu. 4. PRM skeleton ... PSAPCE-hard. random sampling. narrow passages. NUS CS 5247 David ...
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Communication Latency Aware Low Power NoC Synthesis. Yuanfang Hu, Yi Zhu, Hongyu ... of popular topologies such as mesh, torus, hypercube, octagon, twisted cube, etc ...
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The channel to which a node's transmitter or receiver is static, ... toroid (Manhattan Street Network, MSN), hypercube, linear dual bus, and a virtual tree. ...
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