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A Counterexample to an Eternal Domination Conjecture

Tom Adamczewski, William F. Klostermeyer

Source record

Source: arXiv

Published: Sep 10, 2026

arXiv: 2609.11500

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Source abstract

A graph GG with 243 vertices is shown having γ(G)=γ(G)<θ(G)γ(G) = γ^{\infty}(G) < θ(G), disproving the Gamma-Theta conjecture for eternal dominating sets.

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A Counterexample to an Eternal Domination Conjecture — Mathematical Frontier Network