The Diagnosability of the Generalized Cartesian Product of Networks Article Swipe

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YOU? · · 2023 · Open Access · · DOI: https://doi.org/10.3390/math11122615

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.

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Mathematics

Computer Science

Theoretical Computer Science

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Cartesian product Cartesian coordinate system Product (mathematics) Construct (python library) Matching (statistics) Mathematics Composition (language) Computer science Associative property Value (mathematics) Pure mathematics Algebra over a field Theoretical computer science Discrete mathematics Geometry Programming language Linguistics Statistics Philosophy

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Type: article
Language: en
Landing Page: https://doi.org/10.3390/math11122615
PDF: https://www.mdpi.com/2227-7390/11/12/2615/pdf?version=1686144730
OA Status: gold
Cited By: 5
References: 33
Related Works: 10
OpenAlex ID: https://openalex.org/W4380050486

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DOI: https://doi.org/10.3390/math11122615

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Title: The Diagnosability of the Generalized Cartesian Product of Networks

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Type: article

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Language: en

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Publication year: 2023

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Publication date: 2023-06-07

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Authors: Meirun Chen, Cheng‐Kuan Lin

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Landing page: https://doi.org/10.3390/math11122615

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PDF URL: https://www.mdpi.com/2227-7390/11/12/2615/pdf?version=1686144730

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Concepts: Cartesian product, Cartesian coordinate system, Product (mathematics), Construct (python library), Matching (statistics), Mathematics, Composition (language), Computer science, Associative property, Value (mathematics), Pure mathematics, Algebra over a field, Theoretical computer science, Discrete mathematics, Geometry, Programming language, Linguistics, Statistics, Philosophy

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Cited by: 5

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Citations by year (recent): 2025: 2, 2024: 3

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abstract_inverted_index.networks	11, 25, 37, 57
abstract_inverted_index.systems,	8
abstract_inverted_index.Cartesian	22, 34, 54
abstract_inverted_index.Motivated	0
abstract_inverted_index.classical	29, 49
abstract_inverted_index.construct	6
abstract_inverted_index.determine	43
abstract_inverted_index.networks,	15
abstract_inverted_index.definition	19
abstract_inverted_index.generalize	17
abstract_inverted_index.composition	10, 14
abstract_inverted_index.generalized	33, 53
abstract_inverted_index.diagnosability	30, 50
abstract_inverted_index.multiprocessor	7
cited_by_percentile_year.max	97
cited_by_percentile_year.min	95
corresponding_author_ids	https://openalex.org/A5070012673
countries_distinct_count	2
institutions_distinct_count	2
corresponding_institution_ids	https://openalex.org/I148366613
citation_normalized_percentile.value	0.79064518
citation_normalized_percentile.is_in_top_1_percent	False
citation_normalized_percentile.is_in_top_10_percent	False