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 ...

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 ...

We investigate the isomorphism problem for Cayley graphs of graph products. We show that graph products with vertex groups that have isomorphic Cayley graphs yield isomorphic Cayley graphs.

Motivated by the Benjamini-Schramm non-unicity of percolation conjecture we study the following question. For a given finitely generated non-amenable group Γ, does there exist a generating set S such ...