The Diagnosability of the Generalized Cartesian Product of Networks

Author:

Chen Meirun1,Lin Cheng-Kuan2

Affiliation:

1. School of Mathematics and Statistics, Xiamen University of Technology, Xiamen 361024, China

2. Department of Computer Science, National Yang Ming Chiao Tung University, Hsinchu 30010, Taiwan

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.

Funder

Fujian Provincial Department of Science and Technology

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

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