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It's Hard to PArcK

Kyle Burke, Jeffrey Leman, Craig Tennenhouse

cs.CCarXiv:2608.29441

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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