Abstract
We discuss the projective line \(\mathbb {P}(R)\) over a finite associative ring with unity. \(\mathbb {P}(R)\) is naturally endowed with the symmetric and anti-reflexive relation “distant”. We study the graph of this relation on \(\mathbb {P}(R)\) and classify up to isomorphism all distant graphs \(G(R, \Delta )\) for rings R up to order \(p^5\), p prime.
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Bartnicka, E., Matraś, A. The Distant Graph of the Projective Line Over a Finite Ring with Unity. Results Math 72, 1943–1958 (2017). https://doi.org/10.1007/s00025-017-0717-1
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DOI: https://doi.org/10.1007/s00025-017-0717-1