John M. Campbell

most citedA lift of West's stack-sorting map to partition diagrams

1 citations · 1 across the 3 of their papers we have counts for

collaborators

5 papers

math.NT2026

Pinch's conjecture on $a$ -convexity

John M. Campbell

For $a$ in $R$ , a subset $V$ contained in $R^{n}$ is said to be $a$ -convex if $x, y \in V ⟹ a x + (1 - a) y \in V$ . According to Pinch [Math. Proc. Ca…

math.CO2026

On a conjecture concerning antipodal labelings for cycles

John M. Campbell

Let $G$ denote a finite, connected, simple graph, and let $D$ denote its diameter, and let $d_{G} (u, v)$ denote the distance between vertices $u$ and $v$ in $V (G)$ . An antipodal la…

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}…

math.CO2023★ 1 cited

A lift of West's stack-sorting map to partition diagrams

John M. Campbell

We introduce a lifting of West's stack-sorting map $s$ to partition diagrams, which are combinatorial objects indexing bases of partition algebras. Our lifting $S$ of $s$ …

Pinch's conjecture on a-convexity

On a conjecture concerning antipodal labelings for cycles

On two conjectures on triangulations of 2-manifolds

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

A lift of West's stack-sorting map to partition diagrams

Pinch's conjecture on $a$ -convexity

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