Rainbow-free colorings for <mml:math altimg="si1.gif" display="inline" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:mi>x</mml:mi><mml:mo>+</mml:mo><mml:mi>y</mml:mi><mml:mo>=</mml:mo><mml:mi>c</mml:mi><mml:mi>z</mml:mi></mml:math> in <mml:math altimg="si2.gif" display="inline" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:msub><mml:mrow><mml:mi mathvariant="double-struck">Z</mml:mi></mml:mrow><mml:mrow><mml:mi>p</mml:mi></mml:mrow></mml:msub></mml:math>-Reference-Cited by-同舟云学术

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Rainbow-free colorings for x+y=cz in Zp

Published:2012-09 Issue:17 Volume:312 Page:2566-2573
ISSN:0012-365X
Container-title:Discrete Mathematics
language:en
Short-container-title:Discrete Mathematics

Author:

Llano Bernardo,Montejano Amanda

Publisher

Elsevier BV

Subject

Discrete Mathematics and Combinatorics,Theoretical Computer Science

Reference9 articles.

1. On rainbow arithmetic progressions;Axenovich;Electronic Journal of Combinatorics,2004

2. An inverse theorem mod p;Hamidoune;Acta Arithmetica,2000

3. Rainbow arithmetic progressions and anti-Ramsey results;Jungić;Combinatorics, Probability and Computing,2003

4. Rainbow Ramsey theory;Jungić;Integers: Electronic Journal of Combinatorial Number Theory,2005

5. Rainbow 3-term arithmetic progressions;Jungić;Integers: Electronic Journal of Combinatorial Number Theory,2003

Cited by 5 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Rainbow solutions to the Sidon equation in cyclic groups and the interval;Discrete Mathematics;2024-09

2. Integer Colorings with No Rainbow 3-Term Arithmetic Progression;The Electronic Journal of Combinatorics;2022-05-06

3. Minimum Number of Colours to Avoid k-Term Monochromatic Arithmetic Progressions;Mathematics;2022-01-14

4. A rainbow Ramsey analogue of Rado’s theorem;Discrete Mathematics;2016-11

5. Rainbow linear equations on three variables in;Electronic Notes in Discrete Mathematics;2013-09

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