The Distant Graph of the Projective Line Over a Finite Ring with Unity

We discuss the projective line $P\left(R\right)$ over a finite associative ring with unity. $P\left(R\right)$ is naturally endowed with the symmetric and anti-reflexive relation "distant". We study the graph of this relation on $P\left(R\right)$ and classify up to isomorphism all distant graphs $G(R,\Delta )$ for rings R up to order $p^5$, p prime.