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Combinatorial Nullstellensatz

Published online by Cambridge University Press:  01 January 1999

NOGA ALON
NOGA ALON
Affiliation:
Department of Mathematics, Raymond and Beverly Sackler Faculty of Exact Sciences, Tel Aviv University, Tel Aviv, Israel and Institute for Advanced Study, Princeton, NJ 08540, USA (e-mail: [email protected])
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Abstract

We present a general algebraic technique and discuss some of its numerous applications in combinatorial number theory, in graph theory and in combinatorics. These applications include results in additive number theory and in the study of graph colouring problems. Many of these are known results, to which we present unified proofs, and some results are new.

Type
Research Article
Information
Combinatorics, Probability and Computing , Volume 8 , Issue 1-2 , January 1999 , pp. 7 - 29
Copyright
© 1999 Cambridge University Press

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