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A generalization of Combinatorial Nullstellensatz

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arxiv 1302.4647 v1 pith:ZR4DPUH6 submitted 2013-02-19 math.CO

A generalization of Combinatorial Nullstellensatz

Micha{\l} Laso\'n This is my paper
classification math.CO
keywords combinatorialnullstellensatzapplicationassumptionextendedgeneralizationgivemonomial
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In this note we give an extended version of Combinatorial Nullstellensatz, with weaker assumption on nonvanishing monomial. We also present an application of our result in a situation where the original theorem does not seem to work.

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    math.CO 2026-06 unverdicted novelty 8.0

    Converse-invariant orientations of diameter-4 trees are characterized via a new multilinear polynomial P_D, disproving the Ai-Gutin-Lei-Yeo-Zhou conjecture with explicit non-self-converse examples outside the recursiv...