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A note on fault-free mutually independent Hamiltonian cycles in hypercubes with faulty edges

dc.citation.epage322en_US
dc.citation.issue3en_US
dc.citation.spage312en_US
dc.citation.volume17en_US
dc.citation.woscount3
dc.contributor.authorKueng, Tz-Liangen_US
dc.contributor.authorLin, Cheng-Kuanen_US
dc.contributor.authorLiang, Tyneen_US
dc.contributor.authorTan, Jimmy J. M.en_US
dc.contributor.authorHsu, Lih-Hsingen_US
dc.contributor.department資訊工程學系zh_TW
dc.contributor.departmentDepartment of Computer Scienceen_US
dc.date.accessioned2014-12-08T15:09:43Z
dc.date.available2014-12-08T15:09:43Z
dc.date.issued2009-04-01en_US
dc.description.abstractIn the paper "Fault-free Mutually Independent Hamiltonian Cycles in Hypercubes with Faulty Edges" (J. Comb. Optim. 13:153-162, 2007), the authors claimed that an n-dimensional hypercube can be embedded with (n-1-f)-mutually independent Hamiltonian cycles when fa parts per thousand currency signn-2 faulty edges may occur accidentally. However, there are two mistakes in their proof. In this paper, we give examples to explain why the proof is deficient. Then we present a correct proof.en_US
dc.identifier.doi10.1007/s10878-007-9113-1en_US
dc.identifier.issn1382-6905en_US
dc.identifier.journalJOURNAL OF COMBINATORIAL OPTIMIZATIONen_US
dc.identifier.urihttp://dx.doi.org/10.1007/s10878-007-9113-1en_US
dc.identifier.urihttps://ir.lib.nycu.edu.tw/handle/11536/7432
dc.identifier.wosnumberWOS:000263785100004
dc.language.isoen_USen_US
dc.subjectInterconnection networken_US
dc.subjectHypercubeen_US
dc.subjectFault toleranceen_US
dc.subjectHamiltonian cycleen_US
dc.titleA note on fault-free mutually independent Hamiltonian cycles in hypercubes with faulty edgesen_US
dc.typeArticleen_US

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