PreprintCC BY 4.0arXiv
A Counterexample to an Eternal Domination Conjecture
Abstract
A graph G with 243 vertices is shown having γ(G) = γ∞(G) < θ(G), disproving the Gamma-Theta conjecture for eternal dominating sets.
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BibTeX
@misc{adamczewski2026counterexample,
title = {{A Counterexample to an Eternal Domination Conjecture}},
author = {Tom Adamczewski and William F. Klostermeyer},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.11500},
eprint = {2609.11500},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.11500},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - A Counterexample to an Eternal Domination Conjecture
AU - Tom Adamczewski
AU - William F. Klostermeyer
PY - 2026
DA - 2026/09/10
PB - arXiv
DO - 10.48550/arxiv.2609.11500
UR - https://arxiv.org/abs/2609.11500
AB - A graph G with 243 vertices is shown having γ(G) = γ^∞(G) < θ(G), disproving the Gamma-Theta conjecture for eternal dominating sets.
ER -