Integral Cayley graphs, a notable subject within spectral graph theory, are graphs constructed from finite groups with the defining property that all eigenvalues of their associated adjacency matrices ...

Let G be a non-trivial finite group, S ⊆ G \ {e} be a set such that if a ϵ S, then a⁻¹ ϵ S and e be the identity element of G. Suppose that Cay(G, S) is the Cayley graph with the vertex set G such ...

AbstractA connected graph Γ of even order is 𝑛-extendable, if it contains a matching of size 𝑛 and if every such matching is contained in a perfect matching of Γ. Furthermore, a connected graph Γ of ...

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 ...