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Electronic Journal of Combinatorics
Article . 2010 . Peer-reviewed
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Electronic Journal of Combinatorics
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Preprint . 2013
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Article . 2010
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A Generalization of Combinatorial Nullstellensatz

A generalization of combinatorial Nullstellensatz
descriptionPublicationkeyboard_double_arrow_right Article , Preprint 15 Oct 2010Embargo end date: 01 Jan 2013Publisher:The Electronic Journal of CombinatoricsJournal:The Electronic Journal of Combinatorics, volume 17 (eissn: 1077-8926, Copyright policy )
Authors: Michal Lason;

doi: 10.37236/481 , 10.48550/arxiv.1302.4647

arXiv: 1302.4647

A Generalization of Combinatorial Nullstellensatz

Abstract

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.

Related Organizations
Keywords

Coloring of graphs and hypergraphs, Algebraic combinatorics, 05E99, 05A99, 05C15, FOS: Mathematics, Mathematics - Combinatorics, combinatorial nullstellensatz, Combinatorics (math.CO), Enumerative combinatorics, application

  • BIP!
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    selected citations
    These citations are derived from selected sources.
    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 18
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    		 Top 10%
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 Top 10%
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    		 Average
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
18
Top 10%
Top 10%
Average
Green
gold