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In computer networking, hypercube networks are a type of network topology used to connect and route data between multiple processing units or computers. Hypercube networks consist of 2m nodes, which form the vertices of squares to create an internetwork connection. A hypercube is basically a multidimensional mesh network with two nodes in each ...
In geometry, a hypercube is an n -dimensional analogue of a square ( n = 2) and a cube ( n = 3 ). It is a closed, compact, convex figure whose 1- skeleton consists of groups of opposite parallel line segments aligned in each of the space's dimensions, perpendicular to each other and of the same length. A unit hypercube's longest diagonal in n ...
The hypercube graph Q n (for n > 1) : is the Hasse diagram of a finite Boolean algebra. is a median graph. Every median graph is an isometric subgraph of a hypercube, and can be formed as a retraction of a hypercube. has more than 2 2 n-2 perfect matchings. (this is another consequence that follows easily from the inductive construction.)
Torus network topology. A torus interconnect is a switch-less topology that can be seen as a mesh interconnect with nodes arranged in a rectilinear array of N = 2, 3, or more dimensions, with processors connected to their nearest neighbors, and corresponding processors on opposite edges of the array connected.
Cube-connected cycles. The cube-connected cycles of order 3, arranged geometrically on the vertices of a truncated cube. In graph theory, the cube-connected cycles is an undirected cubic graph, formed by replacing each vertex of a hypercube graph by a cycle. It was introduced by Preparata & Vuillemin (1981) for use as a network topology in ...
Intel announced the iPSC/860 in 1990. The iPSC/860 consisted of up to 128 processing elements connected in a hypercube, each element consisting of an Intel i860 at 40–50 MHz or Intel 80386 microprocessor. Memory per node was increased to 8 MB and a similar Direct-Connect Module was used, which limited the size to 128 nodes.
Hypercube (communication pattern) -dimensional hypercube is a network topology for parallel computers with processing elements. The topology allows for an efficient implementation of some basic communication primitives such as Broadcast, All- Reduce, and Prefix sum. [1] The processing elements are numbered through .
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