2 edition of **algorithm for routing in hypercube networks.** found in the catalog.

algorithm for routing in hypercube networks.

Robert Prager

- 226 Want to read
- 25 Currently reading

Published
**1986**
by University of Toronto, Dept. of Computer Science in Toronto
.

Written in English

**Edition Notes**

Thesis (M.Sc.)--University of Toronto, 1986.

The Physical Object | |
---|---|

Pagination | 51 leaves |

Number of Pages | 51 |

ID Numbers | |

Open Library | OL21787380M |

1. Packet Routing on a Hypercube We examine the problem of packet routing on a hypercube. We are given a d-dimensional hypercube with N vertices. We deﬁne a route permutation σ such that: i →σ(i) A deterministic algorithm solves this problem in time: Ω(r N d) = Ω(2d/2 √ d) Suppose we examine a random algorithm which solves this. Using it, we obtain the following complexity bounds for permutation routing: n n Mesh: 7n+o(n) steps. 2n hypercube: O(n2) steps. n n Torus: 4n+o(n) algorithm for the two-dimensional grid is the first to be both deterministic and asymptotically optimal.

Given a network topology, a routing algorithm specifies, for each pair of nodes, a route or a sequence of edges connecting the pair in the network. 2. Permutation Routing on the Hypercube Hypercube A hypercube can be viewed as an n-dimensional version of a square (n=2), or a cube (n=3). A hypercube with dimension n (some integer) has N=2n. first search algorithm for routing messages in a hypercube is developed in [12]. Several adaptive packet routing algorithms are also presented in [21], which are based on the routing stratcgics used for wide-area computer networks such as ARPANET. In addition, various algorithms are.

As reflected by the TOP list, hypercubes are popular interconnection networks for massively parallel systems, the main reason being the simplicity and ease of implementation of this network topology. In order to retain performance high and avoid bottleneck situation, routing algorithms are critical for these high-performance systems. Hypercube Network Topologies Visualizing N-Dimensional Hypercubes. Routing Algorithm using XOR: Your program should simulate the routing behavior of an N-Dimensional Hypercube where N can be easily changed from 3 to as many as 10 dimensions.

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Abstract- This paper presents an efficient routing algorithm for the Mesh-Hypercube (M-H) network. The M-H network is one of the new interconnection networking techniques use to build high performance parallel computers.

The combination of M-H networks offers high connectivity among multiple nodes, fault-tolerance, and load scalability. Hypercube is the most important and attractive network communication model that is widely used in parallel computing and routing algorithm.

And spiking neural P system is currently much investigated in membrane computing. The purpose of this paper is to propose a new solution using SN P systems to the broadcast routing : Chenggong Qiu, Laisheng Xiang, Xiyu Liu. Network Routing: Algorithms, Protocols, and Architectures, Second Edition, explores network routing and how it can be broadly categorized into Internet routing, circuit-switched routing, and telecommunication transport network routing.

The book systematically considers these routing paradigms, as well as their interoperability, discussing how algorithms, protocols, analysis, and Cited by: Fault-Tolerant Routing in Hypercube Networks by. Neural Network Parallel Computing is the first book available to the professional market on neural network computing for optimization problems.

sors, an optimal routing would be possible. However, because of restrictions of space and time complexities to solve the shortest path problem, it is very diﬃcult to adopt this approach. For hypercube interconnec-tion networks, several eﬃcient dynamic routing algo-rithms have been proposed which allow each node to.

This book is the first one to provide algorithms for such networks. Survivable Networks: Algorithms for Diverse Routing is a comprehensive work on physically disjoint paths algorithms. It is an invaluable resource and reference for practicing network designers and planners, researchers, professionals, instructors, students, and others working.

Multicast communication is one of the general patterns of collective communication in multiprocessors. On hypercube network, the optimal multicast path problem is NP-hard and all existing multicast path algorithms are heuristic.

Aiming to reduce the communication traffic, we propose a new heuristic multicast path algorithm which consists of a preprocessing algorithm and a message routing.

the routing algorithm performed by an N-node -dilated butterfly with constant slowdown. Our strategy is to break the butterfly into two halves and to embed each half in the hypercube with constant load, congestion, and dilation.

The halves are wired. The book systematically considers these routing paradigms, as well as their interoperability, discussing how algorithms, protocols, analysis, and operational deployment impact these approaches and addressing both macro-state and micro-state in routing.

Readers will learn about the evolution of network routing, the role of IP and E J. Chen, G. Wang and S. Chen, Routing in hypercube networks with a constant fraction of faulty nodes, Proc.

4th International Conference on Algotithms and Architecture for Parallel Processing () pp. – Google Scholar; M. Chen and K. Shin, IEEE Transactions on Comput (). Crossref, ISI, Google Scholar. Abstract. We present a routing algorithm that finds n disjoint shortest paths from the source node to n target nodes in the n-dimensional hypercube in O(n 3) = O(log 3 N) time, where N = 2 n, provided that such disjoint shortest paths exist which can be verified in O(n 5/2) time, improving the previous O(n 3 logn) routing addition, the development of this algorithm also shows.

This paper proposes an ACO (ant colony optimization)-based fault-tolerant routing algorithm (AFTR) to capture the optimal and sub-optimal routing path in hypercube networks. To reduce the computing complexity in solving AFTR, it also introduces the concept of relay node technique which is derived from RIP protocol.

Routing method for a hypercube network is referred to as E-Cube routing. The distance between two nodes in the network can be given by Hamming weight of (number of ones in) the XOR-operation between their respective binary labels.

The distance between Node 1 (represented as ‘01’) and Node 2 (represented as ‘10’) in the network given by. This paper proposes a novel fault tolerant routing model based in locally k-subcube connected hypercube networks, and a fault tolerant multicast routing algorithm based on it.

This paper presents an efficient routing algorithm for the Mesh-Hypercube (M-H) network. The M-H network is one of the new interconnection networking techniques use to build high performance parallel computers. The combination of M-H networks offers high connectivity among multiple nodes, fault-tolerance, and load scalability.

However, the performance of M-H networks may degrade significantly. It unifies data routing on these two networks, and makes them as powerful as the hypercube when solving a host of problems. Consequently, it allows a certain class of algorithms designed for the hypercube to be implemented directly on the star and pancake networks without time loss.

For the Love of Physics - Walter Lewin - - Duration: Lectures by Walter Lewin. They will make you ♥ Physics. Recommended for youMissing: routing.

VLSI routing on the pipelined hypercube and related networks Abstract: The author presents parallel algorithms for several important combinatorial problems related to VLSI routing.

These algorithms achieve linear speed-ups on the pipelined hypercube, and provably optimal speed-ups on the shuffle-exchange and the cube-connected-cycles, for any.

Building Wireless Sensor Networks: Application to Routing and Data Diffusion discusses challenges involved in securing routing in wireless sensor networks with new hybrid topologies.

An analysis of the security of real time data diffusion—a protocol for routing in wireless sensor networks—is provided, along with various possible attacks and. Fig. 3 Routing in a non-faulty network.

Fault Tolerance Routing (FTRH) This section presents the Fault Tolerance Routing Algorithm (FTRH) for the Hex-Cell topology in details.

The faulty model is discussed followed by an explanation for the routing algorithm. FTRH Model The algorithm considers node and link failures such that. We investigate fault-tolerant routing which aims at finding feasible minimum paths in a faulty hypercube.

The concept of unsafe node and its extension are used in our scheme. A set of stringent cri.Permutation routing on binary hypercube All the greedy permutation routing algorithms on SF all-port end-to-end oBF n are normal hypercube algorithms.

Therefore, they can be executed on any other hypercubic network and on shuffle-exchange and de Bruijn graphs with only a constant slowdown.This book describes the design and engineering tradeoffs of datacenter networks.

It de-scribes interconnection networks from topology and network architecture to routing algorithms, and presents opportunities for taking advantage of the emerging technology trends that are inﬂu-encing router microarchitecture.