The construction of tutte's 8-cage and the conder graph
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A unified way is described of constructing two 5-are-transitive graphs of valency 3, the Tutte 8-cage, and the Conder graph. It well illustrates the method of constructing symmetric graphs described in P. Lorimer “Vertex Transitive Graphs: Symmetric Graphs of Prime Valency,” Journal of Graph Theory, 8 (1984, 55–68).
[1] Marston D. E. Conder. A new 5-arc-transitive cubic graph , 1987, J. Graph Theory.
[2] Peter Lorimer,et al. Vertex-transitive graphs: Symmetric graphs of prime valency , 1984, J. Graph Theory.