B. Peet

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math.CO2024

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…

math.CO2024

Variations on Ramsey numbers and minimum numbers of monochromatic triangles in line $2$ -colorings of configurations

Jamie Bishop, Rebekah Kuss, Benjamin Peet

This paper begins by exploring some old and new results about Ramsey numbers and minimum numbers of monochromatic triangles in $2$ -colorings of complete graphs, both in the disjoin…

On the impossibility of certain (n2+n+kn+1​) configurations

Variations on Ramsey numbers and minimum numbers of monochromatic triangles in line 2-colorings of configurations

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

Variations on Ramsey numbers and minimum numbers of monochromatic triangles in line $2$ -colorings of configurations