Classification of Cubic Symmetric Tricirculants
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A tricirculant is a graph admitting a non-identity automorphism having three cycles of equal length in its cycle decomposition. A graph is said to be symmetric if its automorphism group acts transitively on the set of its arcs. In this paper it is shown that the complete bipartite graph $K_{3,3}$, the Pappus graph, Tutte's 8-cage and the unique cubic symmetric graph of order 54 are the only connected cubic symmetric tricirculants.
2016 ◽
Vol 101
(2)
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pp. 145-170
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2006 ◽
Vol 81
(2)
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pp. 153-164
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2010 ◽
Vol 88
(2)
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pp. 277-288
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2000 ◽
Vol 09
(03)
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pp. 387-411
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2018 ◽
Vol 9
(12)
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pp. 2147-2152
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