Representing products of polyhedra by products of edge‐colored graphs
Carlo Gagliardi, Luigi Grasselli · Journal of Graph Theory · 1993
Abstract Given an (m + 1)‐colored graph (Γ γ′) and an (n + 1)‐colored graph (, γ″), representing two polyhedra P′, P″ respectively, we present a direct construction of an (m + n+1)‐colored graph (Γ′⊠ Γ″, γ′ ⊠ γ″), which represents the product P′ × P″. Some examples, applications, and conjectures about the genus of manifold products are also presented. © 1993 John Wiley & Sons, Inc.