Rainbow-free colorings for \(x+y=cz\) in \(\mathbb Z_p\)

DOI10.1016/j.disc.2011.09.005zbMath1246.05059OpenAlexW8120809MaRDI QIDQ442369

Amanda Montejano, Bernardo Llano

Publication date: 10 August 2012

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

Full work available at URL: https://doi.org/10.1016/j.disc.2011.09.005

zbMATH Keywords

rainbow Ramsey theoryrainbow-free linear equations

Mathematics Subject Classification ID

Coloring of graphs and hypergraphs (05C15) Generalized Ramsey theory (05C55)

Related Items (7)

A rainbow Ramsey analogue of Rado's theorem ⋮ Integer colorings with no rainbow 3-term arithmetic progression ⋮ Unnamed Item ⋮ Rainbow numbers for $x_1+x_2=kx_3$ in $\mathbb{Z}_n$ ⋮ Rainbow Numbers of $\mathbb{Z}_n$ for $a_1x_1+a_2x_2+a_3x_3 =b$ ⋮ Unnamed Item ⋮ Rainbow numbers of $[n$ for $\sum_{i=1}^{k-1} x_i = x_k$]

Cites Work

• On rainbow arithmetic progressions
• Rainbow-free 3-colorings in abelian groups
• The Critical Pairs of Subsets of a Group of Prime Order
• An inverse theorem mod p
• Rainbow Arithmetic Progressions and Anti-Ramsey Results
• Unnamed Item
• Unnamed Item
• Unnamed Item

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