This investigation reveals isomorphic Cayley graphs in graph products of groups, indicating deeper structural connections.
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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Marjory Mwanza (2026) studied this question.
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