This work contributes to a deeper understanding of the interplay between graph theory and group theory, particularly in the context of dihedral groups. Cayley Graph: A graph that encodes the ...

Cayley graphs are a powerful tool in group theory, providing a visual representation of groups and their structure. They are constructed from a group and a generating set, allowing mathematicians ...

Let q be a power of a prime, q = p k, where p 1 (mod 4). The Paley graph P q is the Cayley graph of the additive group GF(q) generated with all squares. More precisely, V(P q) = GF(q), and vertices x, ...