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arXiv · 2608.29441

It's Hard to PArcK

Kyle Burke·Jeffrey Leman·Craig Tennenhouse
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Abstract

We show that Partizan Arc Kayles (PArcK), a generalization of Domineering to graphs, is PSPACE-complete via a reduction from Positive CNF and with recently-discovered techniques for creating PArcK positions with high temperature. The reduction uses only red and blue edges.

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Kyle Burke, Jeffrey Leman, Craig Tennenhouse. 2026-08-29. It's Hard to PArcK. https://arxiv.org/abs/2608.29441

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