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Applications of the Combinatorial Nullstellensatz on bipartite graphs.
APPLICATIONS OF THE COMBINATORIAL NULLSTELLENSATZ ON BIPARTITE GRAPHS Timothy M. Brauch May 9,2009 The Combinatorial Nullstellensatz can be used to solve certain problems in combinatorics. However, one of the major complications in using the Combinatorial Nullstellensatz is ensuring that there exists a nonzero monomial.
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A note on Alon's combinatorial Nullstellensatz
Mészáros, Tamás, Rónyai, Lajos
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Practical algebraic calculus and Nullstellensatz with the checkers Pacheck and Pastèque and Nuss-Checker. [PDF]
Kaufmann D, Fleury M, Biere A, Kauers M.
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In this paper, we present the simple components of the Wedderburn decomposition of semisimple commutative group algebras over finite abelian groups, which we investigate from a geometric point of view. We also present the Wedderburn decomposition of semisimple commutative group algebras over finite fields.
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Combinatorial Nullstellensatz: Various Proofs, Extensions and Applications [PDF]
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A generalized Combinatorial Nullstellensatz for multisets
European Journal of Combinatorics, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gantsooj Batzaya, Gombodorj Bayarmagnai
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Combinatorial Nullstellensatz over division rings
Journal of Algebraic Combinatorics, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Elad Paran
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Anti‐magic graphs via the Combinatorial NullStellenSatz
Journal of Graph Theory, 2005AbstractAn antimagic labeling of a graph with m edges and n vertices is a bijection from the set of edges to the integers 1,…,m such that all n vertex sums are pairwise distinct, where a vertex sum is the sum of labels of all edges incident with that vertex. A graph is called antimagic if it has an antimagic labeling.
Dan Hefetz
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