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 ...

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 ...

Below is the popularity graph of the name Cayley from 1984 to 2024, based on data from the SSA. Among the SSA compilation of popular girl's names over the past 10 years, the name Cayley ranked highest ...

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, ...