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Cayley graph

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Cayley graph

graph whose vertices and edges represent the elements of a group and their products with the generators of the group

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About Cayley graph

In mathematics, a Cayley graph, also known as a Cayley color graph, Cayley diagram, group diagram, or color group, is a graph that encodes the abstract structure of a group. Its definition is suggested by Cayley's theorem, and uses a specified set of generators for the group. It is a central tool in combinatorial and geometric group theory. The structure and symmetry of Cayley graphs make them particularly good candidates for constructing expander graphs.

Facts from Wikidata (CC0). Image by Nachotraidor via Wikimedia Commons (CC BY-SA 4.0).

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