The Diagnosability of the Generalized Cartesian Product of Networks

Meirun Chen and Cheng-Kuan Lin ()
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Meirun Chen: School of Mathematics and Statistics, Xiamen University of Technology, Xiamen 361024, China
Cheng-Kuan Lin: Department of Computer Science, National Yang Ming Chiao Tung University, Hsinchu 30010, Taiwan

Mathematics, 2023, vol. 11, issue 12, 1-12

Abstract: Motivated by two typical ways to construct multiprocessor systems, matching composition networks and cycle composition networks, we generalize the definition of the Cartesian product of networks and consider the classical diagnosability of the generalized Cartesian product of networks (GCPNs). In this paper, we determine the accurate value of the classical diagnosability of the generalized Cartesian product of networks (GCPNs) under the PMC model and the MM * model.

Keywords: diagnosability; local diagnosability; generalized Cartesian product of networks; PMC model; MM* model (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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