Edge-fault-tolerant hamiltonicity of augmented cubes

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F13%3A10172735" target="_blank" >RIV/00216208:11320/13:10172735 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.endm.2013.05.043" target="_blank" >http://dx.doi.org/10.1016/j.endm.2013.05.043</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.endm.2013.05.043" target="_blank" >10.1016/j.endm.2013.05.043</a>

Result language
angličtina
Original language name
Edge-fault-tolerant hamiltonicity of augmented cubes
Original language description
The augmented cube AQ_n is a hypercube Q_n with additional edges between vertices that differ in a suffix. We show that AQ_n with f arbitrary faulty edges contains a copy of Q_n with at most n.f / (2n-1) faulty edges. This allows to transfer properties of Q_n with faulty edges to AQ_n with (more) faulty edges. In particular, we show that if fLESS-THAN OR EQUAL TO3n-7 and each vertex of AQ_n is incident with at least two non-faulty edges then AQ_n contains a hamiltonian cycle consisting only of non-faulty edges.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
IN - Informatics
OECD FORD branch
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Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2013
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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