| Title: | On Hamiltonicity of circulant digraphs of outdegree three |
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| Authors: | ID Miklavič, Štefko (Author)
ID Šparl, Primož (Author) |
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| Files: |  http://dx.doi.org/10.1016/j.disc.2008.12.004
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| Language: | English |
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| Work type: | Not categorized |
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| Typology: | 1.01 - Original Scientific Article |
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| Organization: | IAM - Andrej Marušič Institute
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| Abstract: | This paper deals with Hamiltonicity of connected loopless circulant digraphs of outdegree three with connection set of the form ▫$\{a,ka,c\}$▫, where ▫$k$▫ is an integer. In particular, we prove that if ▫$k=-1$▫ or ▫$k=2$▫ such a circulant digraph is Hamiltonian if and only if it is not isomorphic to the circulant digraph on 12 vertices with connection set ▫$\{3,6,4\}$▫. |
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| Keywords: | graph theory, circulant digraph, Hamilton cycle |
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| Year of publishing: | 2009 |
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| Number of pages: | str. 5437-5443 |
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| Numbering: | Vol. 309, iss. 17 |
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| PID: | 20.500.12556/RUP-3185  |
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| ISSN: | 0012-365X |
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| UDC: | 519.17 |
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| COBISS.SI-ID: | 1024054100 |
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| Publication date in RUP: | 15.10.2013 |
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| Views: | 2984 |
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| Downloads: | 101 |
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