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Connectivity of Districting Metagraphs

math.CO · 2026-06-08 · unverdicted · novelty 7.0

Proves irreducibility of ReCom chains on triangular-lattice subsets with 2-merged districts and on 3xn grids, plus an infinite family of counterexamples on lattice subdivisions where the chain is reducible.

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  • Connectivity of Districting Metagraphs math.CO · 2026-06-08 · unverdicted · none · ref 14

    Proves irreducibility of ReCom chains on triangular-lattice subsets with 2-merged districts and on 3xn grids, plus an infinite family of counterexamples on lattice subdivisions where the chain is reducible.