不含彩虹Berge三角形的有色完全超图

Q4 Mathematics

Theory and Applications of Graphs Pub Date : 2019-08-30 DOI:10.20429/tag.2019.060201

Colton Magnant

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引用次数: 6

摘要

最近，对限制着色范围内的图拉姆齐数的研究，特别是禁止彩虹三角形的研究，以GallaiRamsey数的名义蓬勃发展。在这项工作中，我们将主要的结构工具从完全图的彩虹无三角形着色扩展到超图的彩虹Berge无三角形着色。在这样做的过程中，一些其他的概念和结果也从图转化为超图。

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Colored complete hypergraphs containing no rainbow Berge triangles

The study of graph Ramsey numbers within restricted colorings, in particular forbidding a rainbow triangle, has recently been blossoming under the name GallaiRamsey numbers. In this work, we extend the main structural tool from rainbow triangle free colorings of complete graphs to rainbow Berge triangle free colorings of hypergraphs. In doing so, some other concepts and results are also translated from graphs to hypergraphs.

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来源期刊

Theory and Applications of Graphs Mathematics-Discrete Mathematics and Combinatorics

CiteScore

0.70

自引率

0.00%

发文量

审稿时长

20 weeks