On the impossibility of certain $({n^2+n+k}_{n+1})$ configurations

Jackson Philbrook, Benjamin Peet

This paper investigates the impossibility of certain $({n^2+n+k}_{n+1})$ configurations. Firstly, for $k=2$, the result of \cite{gropp1992non} that $\frac{n^2+n}{2}$ is even and $n…