Ben Howerton

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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…

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…