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Some groups with Isomorphic Cayley Graphs
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DOI：10.1007/s00022-026-00806-8.png)
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Abstract
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We investigate Cayley graphs of graph products of groups. We prove that if the vertex groups admit isomorphic Cayley graphs with respect to chosen symmetric generating sets, then the associated graph products have isomorphic Cayley graphs with respect to induced generating sets. Then we provide examples of non-isomorphic graph products of finite groups whose Cayley graphs are nevertheless isomorphic.
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