Matchings Extend to Hamiltonian Cycles in 5-Cube

Ruskey and Savage asked the following question: Does every matching in a hypercube Qn for n ≥ 2 extend to a Hamiltonian cycle of Qn? Fink confirmed that every perfect matching can be extended to a Hamiltonian cycle of Qn, thus solved Kreweras’ conjecture. Also, Fink pointed out that every matching c...

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Bibliographic Details
Main Authors: Wang Fan, Zhao Weisheng
Format: Article
Language:English
Published: Sciendo 2018-02-01
Series:Discussiones Mathematicae Graph Theory
Subjects:
Online Access:http://www.degruyter.com/view/j/dmgt.2018.38.issue-1/dmgt.2010/dmgt.2010.xml?format=INT