What is a hypercube in computer science?

What is a hypercube in computer science?

In computer science: Parallel and distributed computing. A much-studied topology is the hypercube, in which each processor is connected directly to some fixed number of neighbours: two for the two-dimensional square, three for the three-dimensional cube, and similarly for the higher-dimensional hypercubes.

What is parallel topology?

Parallel Networks Topologies. Interconnection Networks. Transfer data between processors and to/from memory. Made of switches and links. Can be static or dynamic, direct and indirect.

What is the diameter of an N node hypercube?

The attractiveness of the hypercube topology is its small diameter, which is the maximum number of links (or hops) a message has to travel to reach its final destination between any two nodes. For a hypercube network the diameter is identical to the degree of a node n = log2N.

What is a hypercube connection Mcq?

The hypercube interconnection is also defined as a binary n-cube multiprocessor. The hypercube is treated to be a loosely coupled system. This system is composed of N = 2n processors that are linked in an n-dimensional binary cube. Each processor denotes a node of the cube.

How do Hypercubes work?

A hypercube can be defined by increasing the numbers of dimensions of a shape: 0 – A point is a hypercube of dimension zero. 1 – If one moves this point one unit length, it will sweep out a line segment, which is a unit hypercube of dimension one.

What is butterfly topology?

A butterfly network is a technique to link multiple computers into a high-speed network. This form of multistage interconnection network topology can be used to connect different nodes in a multiprocessor system.

What is series topology?

Series topology is a general name. Voltage divider or potential divider is used for circuits of that purpose. L-section is a common name for the topology in filter design.

What is a hypercube used for?

As used in geometry, a hypercube is an extrapolation of the cube or square to n dimensions. For example, a 4th dimensional hypercube is called a tesseract. Therefore, an n-dimensional hypercube is also known as an n-cube.

How many lines does a hypercube have?

A hypercube has the following properties: 16 vertices (0D: points) 32 edges (1D: lines) 24 faces (2D: squares)

What is crossbar network?

Crossbar networks allow any processor in the system to connect to any other processor or memory unit so that many processors can communicate simultaneously without contention. A new connection can be established at any time as long as the requested input and output ports are free.

How does a butterfly work?

Rather than flapping their wings up and down like birds, butterflies contract their bodies making a slanted figure eight pattern with their wings. As the butterfly’s body contracts, the motion pushes air under their wings, effectively propelling it through the air.

What is the dimension of hypercube?

A tesseract has 16 polytope vertices, 32 polytope edges, 24 squares, and eight cubes. The dual of the tesseract is known as the 16-cell. For all dimensions, the dual of the hypercube is the cross polytope (and vice versa)….Hypercube.

object
1 line segment
2 square
3 cube
4 tesseract

Why are tesseracts important?

Each time, tesseracts represent a way to travel through the boundless universe. In the Marvel Universe, the tesseract is a glowing blue cube that is capable of transporting anything from one point in the universe to another. The incredibly powerful tool is stored in Odin’s vault.

What is the basic principle of cross bar?

A crossbar switch has multiple input and output lines that form a crossed pattern of interconnecting lines between which a connection may be established by closing a switch located at each intersection, the elements of the matrix.

What is Banyan network switch?

In electronics, a banyan switch is a complex crossover switch used in electrical or optical switches. It is named for its resemblance to the roots of the banyan tree which cross over in complex patterns. Logical banyan switches are used in logic or signal pathways to crossover switching of signals onto new pathways.

What is the importance of butterfly?

They pollinate plants in your garden Butterflies are great for your garden as they are attracted to bright flowers and need to feed on nectar. When they do this their bodies collect pollen and carry it to other plants. This helps fruits, vegetables and flowers to produce new seeds.

What is hypercube network topology?

Hypercube Network Topology This sample shows the Hypercube network topology. Network topology is the topological structure of the computer network. Hypercube is a type of the toroidal network. The Torus is a topology with n-dimensional grid network with circularly connection of the nodes.

What is the difference between hypercube and torus topology?

Network topology is the topological structure of the computer network. Hypercube is a type of the toroidal network. The Torus is a topology with n-dimensional grid network with circularly connection of the nodes. If the number of nodes along each dimension of the toroidal network is 2, it is a Hypercube network topology.

How many nodes are there in a hypercube network?

Hypercube networks consist of 2 m nodes. These nodes form the vertices of squares to create an internetwork connection. A hypercube is basically a multidimensional mesh network with two nodes in each dimension.

What is network topology?

Network Topology represents a network arrangement consisting of several nodes, i.e. sender and receiver nodes, and the lines connecting them. Let us look at the type of Network Topologies available.