On non-normal arc-transitive 4-valent dihedrants |
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| Authors: | István Kovács Boštjan Kuzman Aleksander Malnič |
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| Institution: | [1]FAMNIT, University of Primorska, Glagoljaska 8, 6000 Koper, Slovenia [2]PeF, University of Ljubljana, Kardeljeva ploscad 14, 1000 Ljubljana, Slovenia [3]IMFM, University of Ljubljana, Jadranska 19, 1111 Ljubljana, Slovenia |
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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 ≥ 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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