Classification by girth of three-dimensional algebraically defined monomial graphs over the real numbers

Alex Kodess, Brian G. Kronenthal, Diego Manzano-Ruiz +1

For positive integers $s,t,u,v$, we define a bipartite graph ${\Gamma }_{\mathbb{R}}(X^s{Y}^t,X^u{Y}^v)$ where each partite set is a copy of ${\mathbb{R}}^3$, and a vertex $(a_1,a_2,a_3)$ in t…