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’ Corey Noles talks with Rob Israch, President of Tipalti, about what it means to lead with Global-First Finance and how companies can build scalable, compliant operations in an increasingly ...

A monthly overview of things you need to know as an architect or aspiring architect.

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, ...