Cayley graphs, constructed from the algebraic structure of groups, provide a natural framework for exploring complex combinatorial properties. In these graphs, vertices represent group elements and ...

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 ...

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 ...

eSpeaks host Corey Noles sits down with Qualcomm's Craig Tellalian to explore a workplace computing transformation: the rise of AI-ready PCs. Matt Hillary, VP of Security and CISO at Drata, details ...

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 ...

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, ...