Geodesic
Classification of cubic symmetric tricirculants
Istvan Kovacs1 ; Klavdija Kutnar1 ; Dragan Marusic1 ; Steve Wilson2
1University of Primorska
2Northern Arizona University
The electronic journal of combinatorics, Tome 19 (2012) no. 2
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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.
DOI : 10.37236/2371
Classification : 05C60
Mots-clés : symmetric graph, semiregular, tricirculant

Istvan Kovacs  1   ; Klavdija Kutnar  1   ; Dragan Marusic  1   ; Steve Wilson  2

1 University of Primorska
2 Northern Arizona University 
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Istvan Kovacs; Klavdija Kutnar; Dragan Marusic; Steve Wilson. Classification of cubic symmetric tricirculants. The electronic journal of combinatorics, Tome 19 (2012) no. 2. doi: 10.37236/2371

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