Topological Properties of a New Fault Tolerant Interconnection Network for Parallel Computer

2008 ◽  
Author(s):  
S. P. Mohanty ◽  
B. N. B. Ray ◽  
S. N. Patro ◽  
A. R. Tripathy
Keyword(s):  
Fault Tolerant ◽  
Interconnection Network ◽  
Parallel Computer ◽  
Topological Properties

scholarly journals Topological Properties of Hierarchical Interconnection Networks: A Review and Comparison

2011 ◽  
Vol 2011 ◽  
pp. 1-12 ◽  
Author(s):  
Mostafa Abd-El-Barr ◽  
Turki F. Al-Somani
Keyword(s):  
Packing Density ◽  
Interconnection Networks ◽  
Fault Tolerant ◽  
Interconnection Network ◽  
Parallel Applications ◽  
Topological Properties ◽  
Remote Communication ◽  
Chip Area ◽  
Network Diameter ◽  
Link Cost

Hierarchical interconnection networks (HINs) provide a framework for designing networks with reduced link cost by taking advantage of the locality of communication that exists in parallel applications. HINs employ multiple levels. Lower-level networks provide local communication while higher-level networks facilitate remote communication. HINs provide fault tolerance in the presence of some faulty nodes and/or links. Existing HINs can be broadly classified into two classes. those that use nodes and/or links replication and those that use standby interface nodes. The first class includes Hierarchical Cubic Networks, Hierarchical Completely Connected Networks, and Triple-based Hierarchical Interconnection Networks. The second HINs class includes Modular Fault-Tolerant Hypercube Networks and Hierarchical Fault-Tolerant Interconnection Network. This paper presents a review and comparison of the topological properties of both classes of HINs. The topological properties considered are network degree, diameter, cost and packing density. The outcome of this study show among all HINs two networks that is, the Root-Folded Heawood (RFH) and the Flooded Heawood (FloH), belonging to the first HIN class provide the best network cost, defined as the product of network diameter and degree. The study also shows that HFCube(n,n)provide the best packing density, that is, the smallest chip area required for VLSI implementation.

scholarly journals Reliable, Effective and Fault-Tolerant Design of Leafy Cube Interconnection Network Topology

2019 ◽  
Vol 8 (12) ◽  
pp. 3163-3170
Keyword(s):  
Cost Effectiveness ◽  
Network Topology ◽  
Packing Density ◽  
Fault Tolerant ◽  
Interconnection Network ◽  
The Other ◽  
Performance Parameters ◽  
Topological Properties ◽  
Node Packing ◽  
The Cost

This paper attempts to derive the performance properties of the Leafycube (LC) interconnection network. The Leafycube is already observed to have quite superior topological properties in comparison to the other contemporary networks. The various performance parameters of the LC network are studied and compared with the existing HC and its variants. The routing and broadcasting algorithms are proposed and the time complexities are also compared. The paper attempts to evaluate the cost effectiveness, reliability and fault tolerance aspects of LC interconnection network in order to justify the novelty in the design of the proposed structure. The leafy structure helps to retain the original hypercube while improving the node packing density in the interconnection network.

scholarly journals Cluster-Fault Tolerant Routing in a Torus

Sensors ◽  
2020 ◽  
Vol 20 (11) ◽  
pp. 3286 ◽  
Author(s):  
Antoine Bossard ◽  
Keiichi Kaneko
Keyword(s):  
Free Path ◽  
Time Complexity ◽  
Fault Tolerant ◽  
Interconnection Network ◽  
Routing Algorithm ◽  
Topological Properties ◽  
Huge Number ◽  
Worst Case ◽  
Faulty Node ◽  
Node Routing

The number of Internet-connected devices grows very rapidly, with even fears of running out of available IP addresses. It is clear that the number of sensors follows this trend, thus inducing large sensor networks. It is insightful to make the comparison with the huge number of processors of modern supercomputers. In such large networks, the problem of node faults necessarily arises, with faults often happening in clusters. The tolerance to faults, and especially cluster faults, is thus critical. Furthermore, thanks to its advantageous topological properties, the torus interconnection network has been adopted by the major supercomputer manufacturers of the recent years, thus proving its applicability. Acknowledging and embracing these two technological and industrial aspects, we propose in this paper a node-to-node routing algorithm in an n -dimensional k -ary torus that is tolerant to faults. Not only is this algorithm tolerant to faulty nodes, it also tolerates faulty node clusters. The described algorithm selects a fault-free path of length at most n ( 2 k + ⌊ k / 2 ⌋ − 2 ) with an O ( n 2 k 2 | F | ) worst-case time complexity with F the set of faulty nodes induced by the faulty clusters.

scholarly journals Fault-Tolerant Path-Embedding of Twisted Hypercube-Like Networks (THLNs)

Mathematics ◽  
2019 ◽  
Vol 7 (11) ◽  
pp. 1066
Author(s):  
Huifeng Zhang ◽  
Xirong Xu ◽  
Qiang Zhang ◽  
Yuansheng Yang
Keyword(s):  
Topological Structure ◽  
Large Scale ◽  
Fault Tolerant ◽  
Interconnection Network ◽  
Graph Embedding ◽  
Linear Arrays ◽  
Critical Issues ◽  
Vertex Set ◽  
Network Operation ◽  
Host Graph

It is known widely that an interconnection network can be denoted by a graph G = ( V , E ) , where V denotes the vertex set and E denotes the edge set. Investigating structures of G is necessary to design a suitable topological structure of interconnection network. One of the critical issues in evaluating an interconnection network is graph embedding, which concerns whether a host graph contains a guest graph as its subgraph. Linear arrays (i.e., paths) and rings (i.e., cycles) are two ordinary guest graphs (or basic networks) for parallel and distributed computation. In the process of large-scale interconnection network operation, it is inevitable that various errors may occur at nodes and edges. It is significant to find an embedding of a guest graph into a host graph where all faulty nodes and edges have been removed. This is named as fault-tolerant embedding. The twisted hypercube-like networks ( T H L N s ) contain several important hypercube variants. This paper is concerned with the fault-tolerant path-embedding of n-dimensional (n-D) T H L N s . Let G n be an n-D T H L N and F be a subset of V ( G n ) ∪ E ( G n ) with | F | ≤ n - 2 . We show that for two different arbitrary correct vertices u and v, there is a faultless path P u v of every length l with 2 n - 1 - 1 ≤ l ≤ 2 n - f v - 1 - α , where α = 0 if vertices u and v form a normal vertex-pair and α = 1 if vertices u and v form a weak vertex-pair in G n - F ( n ≥ 5 ).

THE CUBE-OF-RINGS INTERCONNECTION NETWORK

1998 ◽  
Vol 09 (01) ◽  
pp. 25-37 ◽  
Author(s):  
THOMAS J. CORTINA ◽  
ZHIWEI XU
Keyword(s):  
Graph Theory ◽  
Interconnection Networks ◽  
Fault Tolerant ◽  
Interconnection Network ◽  
Routing Algorithm ◽  
Parallel Computers ◽  
Closed Form Expression ◽  
Form Expression ◽  
Graph Theoretic ◽  
Basic Graph

We present a family of interconnection networks named the Cube-Of-Rings (COR) networks along with their basic graph-theoretic properties. Aspects of group graph theory are used to show the COR networks are symmetric and optimally fault tolerant. We present a closed-form expression of the diameter and optimal one-to-one routing algorithm for any member of the COR family. We also discuss the suitability of the COR networks as the interconnection network of scalable parallel computers.

Designing a New Class of Fault Tolerant Multistage Interconnection Networks

2005 ◽  
Vol 06 (04) ◽  
pp. 361-382 ◽  
Author(s):  
K. V. Arya ◽  
R. K. Ghosh
Keyword(s):  
Fault Tolerance ◽  
Interconnection Networks ◽  
Fault Tolerant ◽  
Interconnection Network ◽  
Multistage Interconnection Networks ◽  
Multistage Interconnection Network ◽  
New Class

This paper proposes a technique to modify a Multistage Interconnection Network (MIN) to augment it with fault tolerant capabilities. The augmented MIN is referred to as Enhanced MIN (E-MIN). The technique employed for construction of E-MIN is compared with the two known physical fault tolerance techniques, namely, extra staging and chaining. EMINs are found to be more generic than extra staged networks and less expensive than chained networks. The EMIN realizes all the permutations realizable by the original MIN. The routing strategies under faulty and fault free conditions are shown to be very simple in the case of E-MINs.

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