On the Isomorphism Problem of Cayley Graphs of Graph Products

Marjory Mwanza

doi:10.48550/arxiv.2503.15165

March 19, 2025Open Access

On the Isomorphism Problem of Cayley Graphs of Graph Products

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Key Points

Isomorphic Cayley graphs result from graph products with matching vertex groups, and this relationship is significant in graph theory.
The study shows that graph products can generate isomorphic Cayley graphs, providing a new perspective on their structure.
Understanding the isomorphism between these Cayley graphs clarifies relationships within graph products.
This research opens avenues for further exploration into the properties and applications of Cayley graphs.

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Implication

Research demonstrates isomorphic Cayley graphs in graph products with identical vertex groups, implying deeper connections.

Abstract

We investigate Cayley graphs of graph products by showing that graph products with vertex groups that have isomorphic Cayley graphs yield isomorphic Cayley graphs.

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Cite This Study

Marjory Mwanza (2025) studied this question.

synapsesocial.com/papers/68e62de1a8c0c6d458740048 https://doi.org/10.48550/arxiv.2503.15165

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On the Isomorphism Problem of Cayley Graphs of Graph Products

Key Points

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Implication

Abstract

Discussion

Cite This Study

On the Isomorphism Problem of Cayley Graphs of Graph Products

Key Points

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Implication

Abstract

Discussion

Cite This Study

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