We review remarkable results in several mathematical scenarios, including
graph theory, division algebras, cross product formalism and matroid theory.
Specifically, we mention the following subjects: (1) the Euler relation in
graph theory, and its higher-dimensional generalization, (2) the dimensional
theorem for division algebras and in particular the Hurwitz theorem for normed
division algebras, (3) the vector cross product dimensional possibilities, (4)
some theorems for graphs and matroids. Our main goal is to motivate a possible
research work in these four topics, putting special interest in their possible
links.Comment: 14 pages, Late