Ben Howerton

collaborators

2 papers

math.CO2026

A Two-Player Zero Forcing Game

Dickson Y. B. Annor, Ben Howerton

We introduce a competitive two-player zero forcing game on a connected graph. Alice and Bob alternately seed white vertices or perform legal zero forces in their own colours, and e…

math.CO2026

Induced Subgraph Bounds on the Zero Forcing Number and Chromatic Consequences

Dickson Y. B. Annor, Ben Howerton

Let $G$ be a graph with chromatic number $χ (G)$ , clique number $ω (G)$ and zero forcing number $Z (G)$ . We establish new lower bounds on $Z (G)$ in terms of induced triangle-free subg…