Fault-Tolerant Hamiltonicity of Augmented Cubes under the Conditional Fault Model

Authors:
Sun-Yuan Hsieh;Yi-Ru Cian
Affiliations:
Department of Computer Science and Information Engineering, National Cheng Kung University, Tainan, Taiwan 70101;Department of Computer Science and Information Engineering, National Cheng Kung University, Tainan, Taiwan 70101
Venue:
ICA3PP '09 Proceedings of the 9th International Conference on Algorithms and Architectures for Parallel Processing
Year:
2009

Citing 24
Cited 0

The twisted cube

Volume I: Parallel architectures on PARLE: Parallel Architectures and Languages Europe
A Group-Theoretic Model for Symmetric Interconnection Networks

IEEE Transactions on Computers
Introduction to parallel algorithms and architectures: array, trees, hypercubes

Introduction to parallel algorithms and architectures: array, trees, hypercubes
Fault-Free Hamiltonian Cycles in Faulty Arrangement Graphs

IEEE Transactions on Parallel and Distributed Systems
Longest fault-free paths in star graphs with vertex faults

Theoretical Computer Science
Longest Fault-Free Paths in Star Graphs with Edge Faults

IEEE Transactions on Computers
Embedding of Rings and Meshes onto Faulty Hypercubes Using Free Dimensions

IEEE Transactions on Computers
The Möbius Cubes

IEEE Transactions on Computers
The Crossed Cube Architecture for Parallel Computation

IEEE Transactions on Parallel and Distributed Systems
Fault-Tolerant Ring Embedding in a Star Graph with Both Link and Node Failures

IEEE Transactions on Parallel and Distributed Systems
A dual-Hamiltonian-path-based multicasting strategy for wormhole-routed star graph interconnection networks

Journal of Parallel and Distributed Computing
The Mcube: a symmetrical cube based network with twisted links

IPPS '95 Proceedings of the 9th International Symposium on Parallel Processing
Fault-tolerant cycle embedding in the hypercube

Parallel Computing
Linear array and ring embeddings in conditional faulty hypercubes

Theoretical Computer Science
Fault-Hamiltonicity of Hypercube-Like Interconnection Networks

IPDPS '05 Proceedings of the 19th IEEE International Parallel and Distributed Processing Symposium (IPDPS'05) - Papers - Volume 01
Multicast communication in wormhole-routed symmetric networks with hamiltonian cycle model

Journal of Systems Architecture: the EUROMICRO Journal
Fault hamiltonicity of augmented cubes

Parallel Computing
Embedding longest fault-free paths onto star graphs with more vertex faults

Theoretical Computer Science
Fault-tolerant cycle embedding in the hypercube with more both faulty vertices and faulty edges

Parallel Computing
Conditional fault-tolerant hamiltonicity of star graphs

Parallel Computing
Fault-free Hamiltonian cycles in crossed cubes with conditional link faults

Information Sciences: an International Journal
Generalized Hypercube and Hyperbus Structures for a Computer Network

IEEE Transactions on Computers
Fault-free Hamiltonian cycles in twisted cubes with conditional link faults

Theoretical Computer Science
Conditional Edge-Fault Hamiltonicity of Matching Composition Networks

IEEE Transactions on Parallel and Distributed Systems

Quantified Score

Hi-index	0.00

Visualization

Abstract

The augmented cube is a variation of hypercubes, which possesses many properties superior to the hypercubes. In this paper, we show that, for any n -dimensional augmented cube (n *** 3) with 4n *** 8 faulty edges in which each vertex is incident to at least two fault-free edges, there exists a fault-free Hamiltonian cycle. Our result is optimal with respect to the number of faulty edges tolerated.