| Title: | On non-normal arc-transitive 4-valent dihedrants |
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| Authors: | ID Kovács, István (Author)
ID Kuzman, Boštjan (Author)
ID Malnič, Aleksander (Author) |
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| Files: |  http://www.springerlink.com/content/91474375p0273m92/fulltext.pdf
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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: | Let ▫$X$▫ be a connected non-normal 4-valent arc-transitive Cayley graph on a dihedral group ▫$D_n$▫ such that ▫$X$▫ is bipartite, with the two bipartition sets being the two orbits of the cyclic subgroup within ▫$D_n$▫. It is shown that ▫$X$▫ is isomorphic either to the lexicographic product ▫$C_n[2K_1]$▫ with ▫$n \geq 4$▫ even, or to one of the five sporadic graphs on 10, 14, 26, 28 and 30 vertices, respectively. |
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| Keywords: | Cayley graph, arc transitivity, dihedral group |
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| Year of publishing: | 2010 |
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| Number of pages: | str. 1485-1498 |
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| Numbering: | Vol. 26, no. 8 |
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| PID: | 20.500.12556/RUP-885  |
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| ISSN: | 1439-8516 |
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| UDC: | 519.17 |
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| COBISS.SI-ID: | 1024270932 |
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| Publication date in RUP: | 15.10.2013 |
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| Views: | 4318 |
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| Downloads: | 123 |
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| Metadata: |    |
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