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math.CO 1

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2026 1

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Strong majority colorings of graphs

math.CO · 2026-05-22 · unverdicted · novelty 6.0

Introduces strong majority colorings and proves Maj(G) is arbitrarily large yet at most 2Δ(G)+1 without pendants, while Maj'(G) has a constant upper bound conjectured to be 4 and verified on many classes.

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  • Strong majority colorings of graphs math.CO · 2026-05-22 · unverdicted · none · ref 1

    Introduces strong majority colorings and proves Maj(G) is arbitrarily large yet at most 2Δ(G)+1 without pendants, while Maj'(G) has a constant upper bound conjectured to be 4 and verified on many classes.