Hamiltonian paths passing through matchings in hypercubes with faulty edges

Chen considered the existence of a Hamiltonian cycle containing a matching and avoiding some edges in an $ n $-cube $ Q_n $. In this paper, we considered the existence of a Hamiltonian path and obtained the following result. For $ n\geq4 $, let $ M $ be a matching of $ Q_n $, and let $ F $ be a set...

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Bibliographic Details
Main Authors: Shenyang Zhao, Fan Wang
Format: Article
Language:English
Published: AIMS Press 2024-11-01
Series:AIMS Mathematics
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Online Access:https://www.aimspress.com/article/doi/10.3934/math.20241608
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