Abstract:We prove that every connected locally finite regular graph has a double cover which is isomorphic to a Schreier graph.The aim of this short note is to provide a proof of the following result.Proposition 1. Let G be a d-regular connected graph. Then either G is isomorphic to a Schreier graph or G has a double-cover H which is isomorphic to a Schreier graph.While we were not able to find a reference to the above result in the literature, we do not claim any priority on it. In fact, this note was inspired by the … Show more
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