On Rado numbers for \(\Sigma^{m-1}_{i=1} a_{i}x_{i}= x_{m}\)
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Publication:2490019
DOI10.1016/j.aam.2005.05.003zbMath1091.05069OpenAlexW2210568818MaRDI QIDQ2490019
Publication date: 28 April 2006
Published in: Advances in Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.aam.2005.05.003
Related Items (11)
An excursion into nonlinear Ramsey theory ⋮ Two-color Rado number of \(x + y + c = kz\) for large \(c\) ⋮ Unnamed Item ⋮ Two formulas of 2-color off-diagonal Rado numbers ⋮ Unnamed Item ⋮ Determination of the two-color Rado number for \(a_{1}x_{1}+\cdots +a_m x_m=x_{0}\) ⋮ $2$-color Rado number for $x_1 +x_2 +\cdots +x_n=y_1 +y_2=z$ ⋮ The exact values of two-color Ramsey-Schur numbers \(RS(3,m)\) ⋮ Unnamed Item ⋮ New proofs for the disjunctive Rado number of the equations \(x_1-x_2=a\) and \(x_1-x_2=b\) ⋮ The two-colour Rado number for the equation \(ax+by=(a+b)_z\)
Uses Software
Cites Work
- All two-color Rado numbers for \(a(x+y)=bz\)
- Monochromatic and zero-sum sets of nondecreasing diameter
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- On a variation of Schur numbers
- Difference Ramsey numbers and Issai numbers
- Rado numbers for the equation \(\sum_{i=1}^{m-1} x_i + c = x_m\), for negative values of \(c\)
- Two-color Rado numbers for \(x+y+c=kz\)
- Studien zur Kombinatorik
- On generalized van der Waerden triples
- A zero-sum theorem
- On the degree of regularity of some equations
- Combinatorics. Room squares, sum-free sets, Hadamard matrices
- Note on Combinatorial Analysis
- Off-diagonal generalized Schur numbers
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