Hamiltonian Cycle and Path Embeddings in 3-Ary n-Cubes Based on K1,2-Structure Faults

Lv, Yali; Lin, Cheng-Kuan; Fan, Jianxi

doi:10.1109/trustcom.2016.0198

Cited by 3 publications

(1 citation statement)

References 24 publications

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“…Hao et al studied the fault‐tolerant embedding of Hamiltonian cycles into balanced hypercubes. Lv et al studied the fault‐tolerant embedding of Hamiltonian cycles and paths in

Q_{n}^{k}

‐cubes with considering structure faults. Guo and Guo proved the conditional edge connectivity and edge extraconnectivity of hypercubes and folded hypercubes.…”

Section: Related Workmentioning

confidence: 99%

Reconfigurable Fault‐tolerance mapping of ternary N‐cubes onto chips

Fan

Han

et al. 2020

Concurrency and Computation

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Network-on-chip (NoC) is a new design method of system-on-chip used in very large scale integrated circuit (VLSI) systems. It is an important issue for choosing the appropriate topology for NoC. Wirelength and layout area are significant parameters affecting NoC due to the restriction of chip area. In this paper, we propose a new interconnection network called the incomplete ternary n-cube for parallel computing systems. Then, a linear algorithm is proposed to layout incomplete ternary n-cube network onto torus NoC. Furthermore, the failure of interconnection network is also taken into account, and a fault-tolerant layout of incomplete ternary n-cube with faulty edges into torus NoC is verified. Theoretical analysis demonstrates that the proposed algorithm can reduce the network cost and wirelength, which be conducive to estimate the wire length and chip area. KEYWORDSfault tolerance, graph embedding, network-on-Chip, reconfigurable, wirelength INTRODUCTIONWith semiconductor technology entering the nanometer stage, it has become a reality for the integration of 100 billion transistors in a single chip. How to utilize a large number of transistors effectively is an important issue of the chip architecture. It has become very difficult to improve the overall performance of the system by improving the performance of the single processor core; the difficulty and complexity of chip design are also increasing. 1,2 Network-on-chip (NoC) has the advantages of high integration, low power consumption, low cost, and small volume, and it has become one of the mainstreams of very large scale integration (VLSI) system design. 3Network topology research is an important aspect of NoC. The network on chip uses the topological structure of computer network for reference. Ring-based and torus-based NoC architectures are illustrated in Figure 1 and Figure 2. Due to its own characteristics of NoC, such as a large number of available communication wire resources, a large amount of communication can be carried out between the cores, restricted by the area of the chip, and the layout of the regular network. 4,5 Therefore, NoC has certain special requirements for the topology structure.Due to the restriction of the chip area, the interconnection network and the total wire length become the crucial issues that affect the NoC communications. It is an auxiliary consideration for the cost of NoCs with respect to their interconnection networks.The more complex of networks, the higher in connectivity wiring and costs. Therefore, it is desirable to substitute a simple network for NoC with complex networks as an alternative. In such cases, one of the primary targets is improving network performance by providing better static topology features such as diameter and average distance between vertices. 6-8 Nevertheless, when designing network architecture, it is crucial to consider the influence of physical design constraints, for example wirelength, wiring congestion, and network cost. Li et al 9 studied that, in contrast to normal beliefs, NoCs suf...

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“…Hao et al studied the fault‐tolerant embedding of Hamiltonian cycles into balanced hypercubes. Lv et al studied the fault‐tolerant embedding of Hamiltonian cycles and paths in

Q_{n}^{k}

‐cubes with considering structure faults. Guo and Guo proved the conditional edge connectivity and edge extraconnectivity of hypercubes and folded hypercubes.…”

Section: Related Workmentioning

confidence: 99%