MathDBFang–Xia conjecture on cubic graphical regular representations
Fang–Xia conjecture on cubic graphical regular representations
Let be a finite non-abelian simple group. A cubic GRR is a graphical regular representation arising from a Cayley graph of valency three.
Fang–Xia conjecture. Except for a finite number of cases, every finite non-abelian simple group has a cubic GRR.
The conjecture was proposed after was found to disprove the stronger Fang–Li–Wang–Xu conjecture. The source does not report a resolution of this weaker conjecture.
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Sources & referencesView supporting material
Primary source
Binzhou Xia, Shasha Zheng and Sanming Zhou, “Cubic graphical regular representations of some classical simple groups”, arXiv:2201.08021 (2022).
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