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Research Article | Open Access

Matching preclusion and conditional matching preclusion for hierarchical cubic networks

Jinyu Zou1, Haizhen Ren2,3,4( )
Department of Basic Course, Qinghai University, Xining, Qinghai 810016, China
School of Mathematics and Statistics, Qinghai Normal University, Xining, Qinghai 810008, China
The State Key Laboratory of Tibetan Information Processing and Application, Xining, China
Academy of Plateau, Science and Sustainability, Xining, China
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Abstract

Matching preclusion originates from the measurement of interconnection network robustness in the event of edge failure. Conditional matching preclusion belongs to generalized matching preclusion. We obtain the matching preclusion number and conditional matching preclusion number for hierarchical cubic network( H C N n ). Additionally, all the optimal (conditional) matching preclusion sets of H C N n are characterized, which generalize some related results of Birgham et al. and Cheng et al.

Keywords

matchingmatching preclusionconditional matching preclusionhierarchical cubic network HCNn
CLC number: 05C05, 05C12, 05C76

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AIMS Mathematics
Volume 7 Issue 7,
July 2022
Pages 13225-13236
DOI: 10.3934/math.2022729

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Cite this article:
Zou J, Ren H. Matching preclusion and conditional matching preclusion for hierarchical cubic networks. AIMS Mathematics, 2022, 7(7): 13225-13236. https://doi.org/10.3934/math.2022729

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Received: 23 January 2022
Revised: 12 April 2022
Accepted: 21 April 2022
Published: 15 July 2022
©2022 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)