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Subcubic $K_4$-minor-free graphs without crumby colorings

math.CO · 2026-05-06 · unverdicted · novelty 7.0

Counterexamples disprove the conjecture that every K4-minor-free graph has a crumby coloring, with the smallest connected one having 18 vertices and a 2-connected one having 40 vertices.

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  • Subcubic $K_4$-minor-free graphs without crumby colorings math.CO · 2026-05-06 · unverdicted · none · ref 1

    Counterexamples disprove the conjecture that every K4-minor-free graph has a crumby coloring, with the smallest connected one having 18 vertices and a 2-connected one having 40 vertices.