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Related papers: The Component Diagnosability of General Networks

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System level diagnosis is an important approach for the fault diagnosis of multiprocessor systems. In system level diagnosis, diagnosability is an important measure of the diagnosis capability of interconnection networks. But as a measure,…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-09-19 Qiang Zhu , Lili Li , Sanyang Liu , Xing Zhang

Fault diagnosis is important to the design and maintenance of large multiprocessor systems. PMC model is the most famous diagnosis model in the system level diagnosis of multiprocessor systems. Under the PMC model, only node faults are…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-09-20 Qiang Zhu

The component connectivity is the generalization of connectivity which is an parameter for the reliability evaluation of interconnection networks. The $g$-component connectivity $c\kappa_{g}(G)$ of a non-complete connected graph $G$ is the…

Combinatorics · Mathematics 2018-03-06 Shuli Zhao , Weihua Yang

Let $G=(V, E)$ be a connected graph, a subset $S\subseteq V(G)$ is called an $R^{g}$-vertex-cut of $G$ if $G-F$ is disconnected and any vertex in $G-F$ has at least $g$ neighbours in $G-F$. The $R^{g}$-vertex-connectivity is the size of the…

Combinatorics · Mathematics 2018-12-04 Shu-Li Zhao , Rong-Xia Hao

We generalize an approach to deriving diagnosability results of various interconnection networks in terms of the popular $g$-good-neighbor and $g$-extra fault-tolerant models, as well as mainstream diagnostic models such as the PMC and the…

Networking and Internet Architecture · Computer Science 2022-05-04 Eddie Cheng , Yaping Mao , Ke Qiu , Zhizhang Shen

Zhu et al. [Theoret. Comput. Sci. 758 (2019) 1--8] introduced the $h$-edge tolerable diagnosability to measure the fault diagnosis capability of a multiprocessor system with faulty links. This kind of diagnosability is a generalization of…

Combinatorics · Mathematics 2020-12-22 Yulong Wei , Rong-hua Li , Weihua Yang

In this paper, we study diagnosabilities of multiprocessor systems under two diagnosis models: the PMC model and the comparison model. In each model, we further consider two different diagnosis strategies: the precise diagnosis strategy…

Networking and Internet Architecture · Computer Science 2007-05-23 Guey-Yun Chang , Gerard J. Chang , Gen-Huey Chen

The growing size of the multiprocessor system increases its vulnerability to component failures. It is crucial to locate and to replace the faulty processors to maintain a system's high reliability. The fault diagnosis is the process of…

Combinatorics · Mathematics 2012-04-19 Shuming Zhou , Jun-Ming Xu

As the size of a multiprocessor system increases, processor failure is inevitable, and fault identification in such a system is crucial for reliable computing. The fault diagnosis is the process of identifying faulty processors in a…

Combinatorics · Mathematics 2012-04-20 Shuming Zhou , Jian Wang , Xirong Xu , Jun-Ming Xu

To measure the fault diagnosis capability of a multiprocessor system with faulty links, Zhu et al. [Theoret. Comput. Sci. 758 (2019) 1--8] introduced the $h$-edge tolerable diagnosability. This kind of diagnosability is a generalization of…

Combinatorics · Mathematics 2019-04-16 Min Xu , Yulong Wei

Complex systems often exhibit unexpected faults that are difficult to handle. Such systems are desirable to be diagnosable, i.e. faults can be automatically detected as they occur (or shortly afterwards), enabling the system to handle the…

Software Engineering · Computer Science 2015-02-27 Hernán Ponce de León , Gonzalo Bonigo , Laura Brandán Briones

Extra connectivity and the pessimistic diagnosis are two crucial subjects for a multiprocessor system's ability to tolerate and diagnose faulty processor. The pessimistic diagnosis strategy is a classic strategy based on the PMC model in…

Combinatorics · Mathematics 2017-01-31 Mei-Mei Gu , Rong-Xia Hao , Jun-Ming Xu , Yan-Quan Feng

As a generalization of the traditional connectivity, the g-component edge connectivity c{\lambda}g(G) of a non-complete graph G is the minimum number of edges to be deleted from the graph G such that the resulting graph has at least g…

Combinatorics · Mathematics 2021-05-12 Dong Liu , Pingshan Li , Bicheng Zhang

The concept of neighbor connectivity originated from the assessment of the subversion of espionage networks caused by underground resistance movements, and it has now been applied to measure the disruption of networks caused by cascading…

Discrete Mathematics · Computer Science 2025-03-26 Zhao Wang , Yaping Mao , Sun-Yuan Hsieh , Ralf Klasing

Fault diagnosis prevents train disruptions by ensuring the stability and reliability of their transmission systems. Data-driven fault diagnosis models have several advantages over traditional methods in terms of dealing with non-linearity,…

Machine Learning · Computer Science 2025-09-22 Jonathan Adam Rico , Nagarajan Raghavan , Senthilnath Jayavelu

The conditional diagnosability and the 2-extra connectivity are two important parameters to measure ability of diagnosing faulty processors and fault-tolerance in a multiprocessor system. The conditional diagnosability $t_c(G)$ of $G$ is…

Combinatorics · Mathematics 2015-08-11 Rong-Xia Hao , Zeng-Xian Tian , Jun-Ming Xu

Connectivity and diagnosability are important parameters in measuring the fault tolerance and reliability of interconnection networks. The $R^g$-vertex-connectivity of a connected graph $G$ is the minimum cardinality of a faulty set…

Combinatorics · Mathematics 2018-07-25 Huiqing Liu , Xiaolan Hu , Shan Gao

System diagnosis is process of identifying faulty nodes in a system. An efficient diagnosis is crucial for a multiprocessor system. The BGM diagnosis model is a modification of the PMC diagnosis model, which is a test-based diagnosis. In…

Discrete Mathematics · Computer Science 2023-06-22 Cheng-Kuan Lin , Tzu-Liang Kung , Chun-Nan Hung , Yuan-Hsiang Teng

Network failure diagnosis is challenging yet critical for high-performance computing (HPC) systems. Existing methods cannot be directly applied to HPC scenarios due to data heterogeneity and lack of accuracy. This paper proposes a novel…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-09-23 Yongqian Sun , Xijie Pan , Xiao Xiong , Lei Tao , Jiaju Wang , Shenglin Zhang , Yuan Yuan , Yuqi Li , Kunlin Jian

Distributed Systems involve two or more computer systems which may be situated at geographically distinct locations and are connected by a communication network. Due to failures in the communication link, faults arise which may make the…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-12-20 Poorva Kulkarni , Varsha Deshpande , Latika Sarna , Sumedha Shenolikar , Supriya Kelkar
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