Distance Exceptional Graphs and the Curvature Index

Sawyer Jack Robertson, Finn Southerland, Erlang Surya

A graph $G=(V,E)$ on $n$ vertices is said to be \emph{distance exceptional} if the equation $D\vec{x}=\vec{1}$ admits no solution $\vec{x}\in {\mathbb{R}}^n$, where $D\in\mathbb{R…