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Let $G$ be a Cayley graph, and $H$ a graph cospectral with $G$. DoesMust $H$ must be a Cayley graph? Does a counterexample exist? If $G$ is a circulant graph, dosedoes a counterexample exist?

Let $G$ be a Cayley graph, and $H$ a graph cospectral with $G$. Does $H$ must be a Cayley graph? Does a counterexample exist? If $G$ is a circulant graph, dose a counterexample exist?

Let $G$ be a Cayley graph, and $H$ a graph cospectral with $G$. Must $H$ be a Cayley graph? Does a counterexample exist? If $G$ is a circulant graph, does a counterexample exist?

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Let $G$ be a Cayley graph, and $H$ a graph cospectral with $G$. Does $H$ must be a Cayley graph? Does a counterexample exist? If $G$ is a circulant graph, dose a counterexample exist?

Let $G$ be a Cayley graph, and $H$ a graph cospectral with $G$. Does $H$ must be a Cayley graph? Does a counterexample exist?

Let $G$ be a Cayley graph, and $H$ a graph cospectral with $G$. Does $H$ must be a Cayley graph? Does a counterexample exist? If $G$ is a circulant graph, dose a counterexample exist?

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