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AIMS Mathematics
Article . 2022 . Peer-reviewed
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AIMS Mathematics
Article . 2022
Data sources: DOAJ
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Matching preclusion and conditional matching preclusion for hierarchical cubic networks

Authors: Jinyu Zou; Haizhen Ren;

Matching preclusion and conditional matching preclusion for hierarchical cubic networks

Abstract

<abstract><p>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($ HCN_n $). Additionally, all the optimal (conditional) matching preclusion sets of $ HCN_n $ are characterized, which generalize some related results of Birgham et al. and Cheng et al.</p></abstract>

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Keywords

hierarchical cubic network hcn<sub>n</sub>, conditional matching preclusion, matching, QA1-939, Mathematics, matching preclusion

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
Average
Average
Average
gold