Cayley graphs provide a powerful and intuitive framework linking group theory with graph theory by representing groups through vertices and edges defined by a generating set. In the realm of finite ...

It is commonly believed that vertex-transitive graphs (and in particular Cayley graphs) tend to contain hamilton cycles. The only known connected vertex-transitive graphs without hamilton cycles are K ...

In this paper, we obtain the eigenvalues and Laplacian eigenvalues of the unitary addition Cayley graph Gn and its complement. Moreover, we compute the bounds for energy and Laplacian energy for Gn ...