New PDF release: A census of semisymmetric cubic graphs on up to 768 vertices
By Conder M., Malniс A.
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Additional resources for A census of semisymmetric cubic graphs on up to 768 vertices
Conder and P. Dobcs´anyi, “Trivalent symmetric graphs on up to 768 vertices,” J. Combin. Math. Combin. Comput. 40 (2002), 41–63. 8. E. Conder, A. Malniˇc, D. Maruˇsiˇc, T. Pisanski and P. Potoˇcnik, “The edge-transitive but not vertextransitive cubic graph on 112 vertices”, J. Graph Theory 50 (2005), 25–42. 9. H. T. P. A. A. Wilson, Atlas of finite groups, Oxford University Press, Eynsham, 1985. 10. D. Dixon and B. Mortimer, Permutation Groups, Springer–Verlag, New York, 1996. L. Miller, “Regular groups of automorphisms of cubic graphs,” J.
Voltage rules generating S54, S112 and S120 In this final section we present five diagrams (see Figures 7, 8, 9, 10, 11) describing a voltage rule by which the three semisymmetric graphs S54, S112 and S120 are generated from their respective basic (and symmetric) counterparts: F2, F2, and the Petersen graph F10, via a sequence of direct elementary abelian covers; see also Figures 5, 6a and 6b. In the last case, two different routes may be taken, one leading through the dodecahedron F20a and the other through the Desargues graph F20b.
The Foster Census, Charles Babbage Research Centre, Winnipeg, 1988. 5. E. Conder and P. Lorimer, “Automorphism Groups of Symmetric Graphs of Valency 3,” J. Combin. Theory, Series B 47 (1989), 60–72. 6. E. Conder, P. Dobcs´anyi, B. Mc Kay and G. au/~gordon/remote/foster/. 7. E. Conder and P. Dobcs´anyi, “Trivalent symmetric graphs on up to 768 vertices,” J. Combin. Math. Combin. Comput. 40 (2002), 41–63. 8. E. Conder, A. Malniˇc, D. Maruˇsiˇc, T. Pisanski and P. Potoˇcnik, “The edge-transitive but not vertextransitive cubic graph on 112 vertices”, J.
A census of semisymmetric cubic graphs on up to 768 vertices by Conder M., Malniс A.