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.

The study of perfect codes within Cayley graphs thus bridges abstract algebra, combinatorics, and information theory, revealing insights into symmetry, network reliability, and efficient data ...

The course is concerned with behavior of random walks on certain infinite graphs which are currently in vigorous development. This is a topic of discrete probability and full of surprising and ...

However, it is proved that there exist 4-arc transitive Cayley graphs for each admissible valency (a prime power plus one). It is then shown that the existence of a flag-transitive non-Desarguesian ...

Let G be a finite group of order pqr where p > q > r > 2 are prime numbers. In this paper, we find the spectrum of Cayley graph Cay(G, S) where S ⊆ G \ {e} is a normal symmetric generating subset.