Title: | Hamilton paths and cycles in vertex-transitive graphs of order 6p |
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Authors: | ID Kutnar, Klavdija (Author) ID Šparl, Primož (Author) |
Files: | http://dx.doi.org/10.1016/j.disc.2008.12.005
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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: | It is shown that every connected vertex-transitive graph of order ▫$6p$▫, where ▫$p$▫ is a prime, contains a Hamilton path. Moreover, it is shown that, except for the truncation of the Petersen graph, every connected vertex-transitive graph of order ▫$6p$▫ which is not genuinely imprimitive contains a Hamilton cycle. |
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Keywords: | graph theory, vertex-transitive, Hamilton cycle, Hamilton path, automorphism group |
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Year of publishing: | 2009 |
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Number of pages: | str. 5444-5460 |
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Numbering: | Vol. 309, iss. 17 |
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PID: | 20.500.12556/RUP-3085 |
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ISSN: | 0012-365X |
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UDC: | 519.17 |
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COBISS.SI-ID: | 1024053332 |
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Publication date in RUP: | 15.10.2013 |
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Views: | 3826 |
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Downloads: | 41 |
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