On the anti-Ramsey numbers of linear forests

Tian Ying Xie; Long Tu Yuan

doi:10.1016/j.disc.2020.112130

On the anti-Ramsey numbers of linear forests

Tian Ying Xie
, Long Tu Yuan

数学科学学院

School of Mathematical Sciences
University of Science and Technology of China

科研成果: 期刊稿件 › 文章 › 同行评审

11 引用（Scopus）

摘要

For a fixed graph F, the anti-Ramsey number, AR(n,F), is the maximum number of colors in an edge-coloring of K_n which does not contain a rainbow copy of F. In this paper, we determine the exact value of anti-Ramsey numbers of linear forests for sufficiently large n, and show the extremal edge-colored graphs. This answers a question of Fang, Győri, Lu and Xiao.

源语言	英语
期刊论文编号	112130
期刊	Discrete Mathematics
卷	343
期	12
DOI	https://doi.org/10.1016/j.disc.2020.112130
出版状态	已出版 - 12月 2020

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10.1016/j.disc.2020.112130

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abstract = "For a fixed graph F, the anti-Ramsey number, AR(n,F), is the maximum number of colors in an edge-coloring of Kn which does not contain a rainbow copy of F. In this paper, we determine the exact value of anti-Ramsey numbers of linear forests for sufficiently large n, and show the extremal edge-colored graphs. This answers a question of Fang, Gy{\H o}ri, Lu and Xiao.",

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KW - Linear forests

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DO - 10.1016/j.disc.2020.112130

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On the anti-Ramsey numbers of linear forests

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