John M. Campbell

collaborators

2 papers

math.GT2026

On two conjectures on triangulations of 2-manifolds

John M. Campbell

For a closed, connected 2-manifold $M$ , and for a triangulation $T$ of $M$ , we write $V (T)$ in place of the vertex set associated with $T$ . A cyclic coloration of a triangulation $…

math.CO2026

On a conjecture on $k$ -antichains in the unit $n$ -cube

John M. Campbell

Let $[0, 1]^{n} \subseteq R^{n}$ be endowed with its pointwise order, and let $k$ be a positive integer. A subset $A$ of $[0, 1]^{n}$ is said to be a \emph{ $k$ -antichain}…

On two conjectures on triangulations of 2-manifolds

On a conjecture on k-antichains in the unit n-cube

On a conjecture on $k$ -antichains in the unit $n$ -cube