Monochromatic and zero-sum sets of nondecreasing diameter

DOI10.1016/0012-365X(93)E0148-WzbMath0822.05046OpenAlexW2154847560MaRDI QIDQ1343772

Arie Bialostocki, Hanno Lefmann

Publication date: 9 March 1995

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0012-365x(93)e0148-w

zbMATH Keywords

diametercoloringvan der Waerden numbermonochromatic subsetszero- sum sets

Mathematics Subject Classification ID

Generalized Ramsey theory (05C55)

Related Items (13)

On a modification of a problem of Bialostocki, Erdős, and Lefmann ⋮ Representing Sequence Subsums as Sumsets of Near Equal Sized Sets ⋮ A five color zero-sum generalization ⋮ On monochromatic pairs of nondecreasing diameters ⋮ Intermingled ascending wave \(m\)-sets ⋮ On Rado numbers for \(\Sigma^{m-1}_{i=1} a_{i}x_{i}= x_{m}\) ⋮ On four color monochromatic sets with nondecreasing diameter ⋮ On a zero-sum generalization of a variation of Schur's equation ⋮ Iterated sumsets and setpartitions ⋮ An extension of the Erdős-Ginzburg-Ziv theorem to hypergraphs ⋮ Disjunctive Rado numbers ⋮ On three sets with nondecreasing diameter ⋮ On four colored sets with nondecreasing diameter and the Erdős-Ginzburg-Ziv theorem

Cites Work

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• Ascending waves
• Quasi-progressions and descending waves
• On the Erdős-Ginzburg-Ziv theorem and the Ramsey numbers for stars and matchings
• Studien zur Kombinatorik
• Zero-sum problems -- a survey
• Primitive Recursive Bounds for Van Der Waerden Numbers
• On the Addition of Residue Classes

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