Richard M. Low

collaborators

3 papers

math.CO2026

All Polyominoes are $C_{4}$ -face-magic

Parikshit Chalise, Richard M. Low, Arman Eisenkolb-Vaithyanathan

For a planar graph $G = (V, E)$ embedded in $R^{2}$ , let $F (G)$ denote the set of faces of $G$ . Then $G$ is called a \textit{ $C_{n}$ -face-magic} graph if there exist…

math.CO2026

Application of the Combinatorial Nullstellensatz to magic-type graph labelings

Parikshit Chalise, Richard M. Low

Let $G = (V, E)$ be a simple graph, and let $k \geq 2$ be an integer. For an edge labeling $h : E (G) \to Z_{k} \ {0}$ , define the induced vertex label by \[ h^+(v)=\su…

math.CO2026

Two-pile and three-pile games of a new variant of Nim known as Halve Nim

Stephen C. Locke, Stephen J. Curran, Richard M. Low

We investigate a variant of Nim called Halve Nim, which in addition to the standard moves of Nim, we allow replacing each pile of coins with half its amount. We determine the P-pos…

All Polyominoes are C4​-face-magic

Application of the Combinatorial Nullstellensatz to magic-type graph labelings

Two-pile and three-pile games of a new variant of Nim known as Halve Nim

All Polyominoes are $C_{4}$ -face-magic