B. Peet

collaborators

3 papers

math.GT2026

Fiber-preserving and orientation-reversing involutions of Seifert fibered 3-manifolds

Benjamin Peet

We consider fiber-preserving, orientation-reversing involutions on orientable Seifert fibered 3-manifolds and the conditions on a manifold for admissibility of such involutions. We…

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…

Fiber-preserving and orientation-reversing involutions of Seifert fibered 3-manifolds

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