Geodesic
Characterising CCA Sylow cyclic groups whose order is not divisible by four
Ars Mathematica Contemporanea, Tome 14 (2018) no. 1, pp. 83-95.

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A Cayley graph on a group G has a natural edge-colouring. We say that such a graph is CCA if every automorphism of the graph that preserves this edge-colouring is an element of the normaliser of the regular representation of G. A group G is then said to be CCA if every connected Cayley graph on G is CCA.Our main result is a characterisation of non-CCA graphs on groups that are Sylow cyclic and whose order is not divisible by four. We also provide several new constructions of non-CCA graphs.
DOI : 10.26493/1855-3974.1332.b49
Keywords: CCA problem, Cayley graphs, edge-colouring, Sylow cyclic groups 
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Luke Morgan; Joy Morris; Gabriel Verret. Characterising CCA Sylow cyclic groups whose order is not divisible by four. Ars Mathematica Contemporanea, Tome 14 (2018) no. 1, pp. 83-95. doi : 10.26493/1855-3974.1332.b49. http://geodesic.mathdoc.fr/articles/10.26493/1855-3974.1332.b49/

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